Problem: In their game, Kyle threw a ball for a distance of 18/4 yards, while Lisa threw the same ball for a distance of 19/9 yards. How many yards did the ball travel in total?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the distances thrown by Kyle and Lisa.

Given information:
- Kyle threw the ball for a distance of 18/4 yards.
- Lisa threw the ball for a distance of 19/9 yards.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
Kyle's distance = 18/4 = (18/4) × (9/9) = 40.5/9 yards
Lisa's distance = 19/9 yards

Step 2: Add the distances thrown by Kyle and Lisa.
Total distance = Kyle's distance + Lisa's distance
Total distance = 40.5/9 yards + 19/9 yards
Total distance = (40.5 + 19)/9 yards
Total distance = 59.5/9 yards

Step 3: Convert the fraction to a mixed number or decimal form.
59.5/9 = 6.61 yards (approximately)

Therefore, the ball traveled a total distance of 6.61 yards.

### Answer: 6.61

Expected answer: 119/18

Correct? No

Problem: Johnnie the monkey was given 18/7 bananas by the zookeeper in the morning, and 12/14 bananas in the afternoon. In total, how many bananas were given to Johnnie the monkey?

Claude-3 Sonnet:

To solve this problem, we need to find a common denominator for the fractions 18/7 and 12/14, and then add the fractions.

Step 1: Find the least common multiple (LCM) of 7 and 14, which is 42.

Step 2: Convert the fractions to equivalent fractions with a denominator of 42.
18/7 = (18/7) × (6/6) = 108/42
12/14 = (12/14) × (3/3) = 36/42

Step 3: Add the fractions with the common denominator of 42.
108/42 + 36/42 = 144/42

Step 4: Simplify the fraction by dividing the numerator and denominator by their greatest common factor (GCF), which is 6.
144/42 = (144/6) / (42/6) = 24/7

Therefore, Johnnie the monkey was given a total of 24/7 bananas.

### Answer: 24/7

Expected answer: 24/7

Correct? Yes

Problem: The bottom of a door measures 4/19 inches from the floor, and the top of the door measures 9/10 inches from the ceiling. What is the total distance of the bottom and top of the door from the floor and ceiling, respectively?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the distances of the bottom and top of the door from the floor and ceiling, respectively.

Given information:
- The bottom of the door measures 4/19 inches from the floor.
- The top of the door measures 9/10 inches from the ceiling.

Step 1: Find the distance of the bottom of the door from the floor.
Distance of the bottom of the door from the floor = 4/19 inches

Step 2: Find the distance of the top of the door from the ceiling.
Distance of the top of the door from the ceiling = 9/10 inches

Step 3: Find the total distance of the bottom and top of the door from the floor and ceiling, respectively.
Total distance = Distance of the bottom of the door from the floor + Distance of the top of the door from the ceiling
Total distance = 4/19 inches + 9/10 inches

To add fractions with different denominators, we need to find the least common denominator (LCD) and convert the fractions to equivalent fractions with the same denominator.

LCD of 19 and 10 = 190

4/19 = (4 × 10)/190 = 40/190
9/10 = (9 × 19)/190 = 171/190

Total distance = 40/190 + 171/190 = 211/190 inches

Therefore, the total distance of the bottom and top of the door from the floor and ceiling, respectively, is 211/190 inches.

### Answer: 211/190

Expected answer: 211/190

Correct? Yes

Problem: Ralph's juice recipe requires 17/3 liters of apple juice. However, he only uses 15/11 liters of it. How many liters of apple juice are left unused?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the required amount of apple juice and the amount Ralph used.

Given information:
- Ralph's recipe requires 17/3 liters of apple juice.
- Ralph used 15/11 liters of apple juice.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
17/3 = (17/3) × (11/11) = 187/33
15/11 = (15/11) × (3/3) = 45/33

Step 2: Subtract the amount used from the required amount.
Amount of apple juice left unused = Required amount - Amount used
Amount of apple juice left unused = 187/33 - 45/33
Amount of apple juice left unused = 142/33

Step 3: Convert the fraction to a mixed number or decimal form.
142/33 = 4 + 10/33 ≈ 4.30 liters

Therefore, 4.30 liters of apple juice are left unused.

### Answer: 4.30

Expected answer: 142/33

Correct? No

Problem: Billy is trying to roller skate in an empty parking lot. He initially travels 4 miles, but rolls back for 17/20 of a mile after spotting a pothole. How many miles did he ultimately travel forward?

Claude-3 Sonnet:

To solve this problem, we need to find the distance Billy traveled forward after rolling back for 17/20 of a mile.

Given information:
- Billy initially traveled 4 miles.
- Billy rolled back for 17/20 of a mile after spotting a pothole.

Step 1: Convert the fraction 17/20 to a decimal.
17/20 = 0.85 miles

Step 2: Subtract the distance Billy rolled back from the initial distance he traveled.
Distance traveled forward = Initial distance - Distance rolled back
Distance traveled forward = 4 miles - 0.85 miles
Distance traveled forward = 3.15 miles

Therefore, Billy ultimately traveled forward for 3.15 miles.

### Answer: 3.15

Expected answer: 63/20

Correct? Yes

Problem: A rocket was launched into orbit. On the first day, it traveled 15/3 light years. On the second day, it traveled an additional 2/7 light years. How far has the rocket traveled in total?

Claude-3 Sonnet:

To solve this problem, we need to add the distances traveled on the first and second days.

Given information:
- On the first day, the rocket traveled 15/3 light years.
- On the second day, the rocket traveled an additional 2/7 light years.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
15/3 = 5 (common denominator is 21)
2/7 = 6/21 (common denominator is 21)

Step 2: Add the distances traveled on the first and second days.
Distance traveled on the first day + Distance traveled on the second day = Total distance traveled
5 + 6/21 = 5 + (6 × 1/21) = 5 + 6/21 = 111/21 light years

Therefore, the rocket has traveled a total of 111/21 light years.

### Answer: 111/21

Expected answer: 37/7

Correct? Yes

Problem: Captain Silverbeard found 10/13 of a treasure map at one shipwreck site and 16/19 of the same treasure map at another site. What is the total portion of the treasure map that he found?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the two fractions representing the portions of the treasure map that Captain Silverbeard found.

Given information:
- Captain Silverbeard found 10/13 of the treasure map at one shipwreck site.
- Captain Silverbeard found 16/19 of the treasure map at another site.

Step 1: Find the least common denominator (LCD) of the two fractions.
LCD = Least Common Multiple (LCM) of 13 and 19
LCM of 13 and 19 = 247

Step 2: Convert the fractions to equivalent fractions with the LCD as the denominator.
10/13 = (10 × 19)/247
10/13 = 190/247

16/19 = (16 × 13)/247
16/19 = 208/247

Step 3: Add the equivalent fractions.
(190/247) + (208/247) = 398/247

Step 4: Simplify the fraction, if possible.
398/247 = 1 61/247 (1 and 61/247)

Therefore, the total portion of the treasure map that Captain Silverbeard found is 1 61/247.

### Answer: 1 61/247

Expected answer: 398/247

Correct? No

Problem: A hiker decides to walk 9/6 miles North before walking 2/16 miles East. How many miles has the hiker traveled in total?

Claude-3 Sonnet:

To solve this problem, we need to convert the fractions to the same denominator and then add the distances.

Given information:
- The hiker walks 9/6 miles North.
- The hiker walks 2/16 miles East.

Step 1: Convert the fractions to the same denominator.
9/6 = 9/6 × 8/8 = 72/48
2/16 = 2/16 × 3/3 = 6/48

Step 2: Add the distances.
Total distance traveled = 72/48 + 6/48
                        = 78/48
                        = 1 5/8 miles

Therefore, the hiker has traveled a total of 1 5/8 miles.

### Answer: 1 5/8

Expected answer: 13/8

Correct? Yes

Problem: In Jessica's sandbox, she has a pile of sand that is 16/9 cubic feet. She then removes 4/13 cubic feet of sand from the sandbox. How much sand does she have left in her sandbox?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the initial amount of sand and the amount of sand removed from the sandbox.

Given information:
- Jessica's sandbox initially had 16/9 cubic feet of sand.
- Jessica removed 4/13 cubic feet of sand from the sandbox.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
16/9 = 16 × 13/9 × 13 = 208/117
4/13 = 4 × 9/13 × 9 = 36/117

Step 2: Subtract the amount of sand removed from the initial amount of sand.
Amount of sand left = Initial amount of sand - Amount of sand removed
Amount of sand left = 208/117 - 36/117
Amount of sand left = (208 - 36) / 117
Amount of sand left = 172 / 117

Therefore, Jessica has 172/117 cubic feet of sand left in her sandbox.

### Answer: 172/117

Expected answer: 172/117

Correct? Yes

Problem: Jacob has a piece of rope that is 15/12 meters long and he adds a piece that is 17/17 meters long to it. What is the total length of the rope now?

Claude-3 Sonnet:

To solve this problem, we need to convert the mixed fractions into improper fractions and then add them together.

Given information:
- Jacob has a piece of rope that is 15/12 meters long.
- He adds a piece that is 17/17 meters long to it.

Step 1: Convert the mixed fractions into improper fractions.
15/12 = (15 × 1 + 0)/12 = 15/12
17/17 = (17 × 1 + 0)/17 = 17/17

Step 2: Add the improper fractions.
(15/12) + (17/17) = (15 × 17 + 17 × 12) / (12 × 17)
= (255 + 204) / 204
= 459 / 204

Step 3: Convert the resulting improper fraction into a mixed fraction.
459 / 204 = 2 + (51/204)

Therefore, the total length of the rope is 2 + (51/204) meters.

### Answer: 2 51/204

Expected answer: 9/4

Correct? Yes

Problem: Mark has 1 full pair of pants and another 13/4 pairs from various incomplete sets. How many pairs of pants does he have in total?

Claude-3 Sonnet:

To solve this problem, we need to convert the mixed fraction (13/4) into an improper fraction and then add it to the number of full pairs (1).

Given information:
- Mark has 1 full pair of pants.
- Mark has another 13/4 pairs from various incomplete sets.

Step 1: Convert the mixed fraction (13/4) into an improper fraction.
13/4 = (13 × 4/4) + 3/4 = 52/4 + 3/4 = 55/4

Step 2: Add the number of full pairs (1) to the improper fraction (55/4).
Total number of pairs = 1 + 55/4
                      = (4 + 55)/4
                      = 59/4
                      = 14 (with a remainder of 3/4)

Therefore, Mark has a total of 14 full pairs of pants and 3/4 of another pair.

### Answer: 14 3/4

Expected answer: 17/4

Correct? No

Problem: Miss Jenny stayed after school to grade papers. She spent 8/8 hours on one subject and an additional 20/19 hours on another subject. How long did she spend grading papers in total?

Claude-3 Sonnet:

To solve this problem, we need to convert the fractions to a common denominator and then add them together.

Given information:
- Miss Jenny spent 8/8 hours on one subject.
- Miss Jenny spent an additional 20/19 hours on another subject.

Step 1: Find the least common multiple (LCM) of 8 and 19.
LCM of 8 and 19 = 152

Step 2: Convert the fractions to equivalent fractions with the LCM as the denominator.
8/8 hours = 152/152 hours
20/19 hours = (20 × 8)/152 hours = 160/152 hours

Step 3: Add the fractions.
152/152 hours + 160/152 hours = 312/152 hours

Step 4: Convert the fraction to a mixed number.
312/152 = 2 4/152 hours

Therefore, Miss Jenny spent a total of 2 4/152 hours grading papers.

### Answer: 2 4/152

Expected answer: 39/19

Correct? No

Problem: A cloud was observed at a height of 12/3 kms, it later ascended by 15/12 kms. What was the resultant height of the cloud from the ground?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the initial height of the cloud and the distance it ascended.

Given information:
- The initial height of the cloud was 12/3 km.
- The cloud ascended by 15/12 km.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
Initial height of the cloud = 12/3 km = (12/3) × (4/4) = 48/12 = 4 km
Distance the cloud ascended = 15/12 km

Step 2: Add the initial height and the distance ascended.
Resultant height of the cloud = Initial height + Distance ascended
Resultant height of the cloud = 4 km + (15/12) km
Resultant height of the cloud = 4 km + 1.25 km
Resultant height of the cloud = 5.25 km

Therefore, the resultant height of the cloud from the ground is 5.25 km.

### Answer: 5.25

Expected answer: 21/4

Correct? Yes

Problem: Jack rides his scooter 3/9 of a mile to the library. After leaving, he scoots another 17/15 of a mile to his grandparents' house. How many miles does Jack ride his scooter in total?

Claude-3 Sonnet:

To solve this problem, we need to convert the fractions to equivalent fractions with a common denominator, and then add them.

Given information:
- Jack rides his scooter 3/9 of a mile to the library.
- Jack rides his scooter another 17/15 of a mile to his grandparents' house.

Step 1: Find the least common multiple (LCM) of 9 and 15.
LCM of 9 and 15 = 45

Step 2: Convert the fractions to equivalent fractions with a denominator of 45.
3/9 = (3 × 5)/45 = 15/45
17/15 = (17 × 3)/45 = 51/45

Step 3: Add the fractions.
15/45 + 51/45 = 66/45

Step 4: Convert the fraction to a mixed number or a decimal.
66/45 = 1 21/45 ≈ 1.47 miles

Therefore, Jack rides his scooter a total of 1.47 miles.

### Answer: 1.47

Expected answer: 22/15

Correct? No

Problem: There are 4 logs in a pile that each burn for 1/16 of an hour. The fire burns out and Tom brings 16 twigs, each of which burns for 1/12 of an hour. What is the total burn time for the logs and twigs?

Claude-3 Sonnet:

To solve this problem, we need to find the total burn time for the logs and the twigs separately, and then add them together.

Given information:
- There are 4 logs, and each log burns for 1/16 of an hour.
- There are 16 twigs, and each twig burns for 1/12 of an hour.

Step 1: Find the total burn time for the logs.
Total burn time for the logs = Number of logs × Burn time of each log
Total burn time for the logs = 4 × (1/16 hour)
Total burn time for the logs = 4/16 hour
Total burn time for the logs = 1/4 hour

Step 2: Find the total burn time for the twigs.
Total burn time for the twigs = Number of twigs × Burn time of each twig
Total burn time for the twigs = 16 × (1/12 hour)
Total burn time for the twigs = 16/12 hour
Total burn time for the twigs = 4/3 hours

Step 3: Find the total burn time for the logs and twigs.
Total burn time = Total burn time for the logs + Total burn time for the twigs
Total burn time = 1/4 hour + 4/3 hours
Total burn time = (1/4 + 16/12) hours
Total burn time = (3/12 + 16/12) hours
Total burn time = 19/12 hours

Therefore, the total burn time for the logs and twigs is 19/12 hours or 1 hour and 35 minutes.

### Answer: 19/12 hours

Expected answer: 19/12

Correct? Yes

Problem: If a ring maker uses 12/16 ounces of a silver for the base of the ring and 16/2 ounces to make the rest of the ring, how many ounces of silver did the ring maker use in total?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the amounts of silver used for the base and the rest of the ring.

Given information:
- The ring maker uses 12/16 ounces of silver for the base of the ring.
- The ring maker uses 16/2 ounces of silver to make the rest of the ring.

Step 1: Convert the fractions to decimals or simplified fractions.
12/16 ounces = 0.75 ounces (for the base)
16/2 ounces = 8 ounces (for the rest of the ring)

Step 2: Add the amounts of silver used for the base and the rest of the ring.
Total amount of silver used = Amount for the base + Amount for the rest
Total amount of silver used = 0.75 ounces + 8 ounces
Total amount of silver used = 8.75 ounces

Therefore, the ring maker used a total of 8.75 ounces of silver to make the ring.

### Answer: 8.75

Expected answer: 35/4

Correct? Yes

Problem: A farmer has an apple tree that produced 10/11 bushels of apples in the morning and 17/11 bushels in the afternoon. How many bushels of apples did the tree produce in total?

Claude-3 Sonnet:

To solve this problem, we need to add the number of bushels of apples produced in the morning and afternoon.

Given information:
- The apple tree produced 10/11 bushels of apples in the morning.
- The apple tree produced 17/11 bushels of apples in the afternoon.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
Common denominator = 11

10/11 bushels in the morning (no need to convert)
17/11 bushels in the afternoon (no need to convert)

Step 2: Add the fractions.
10/11 + 17/11 = (10 + 17)/11
= 27/11 bushels

Therefore, the apple tree produced a total of 27/11 bushels of apples.

### Answer: 27/11

Expected answer: 27/11

Correct? Yes

Problem: If Sam's binoculars increase his range of sight by 3/14 of a mile and Joe's binoculars increase his range of sight by exactly 1 mile (16/16), what is their combined range increase when they use the binoculars one after the other?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the range increases provided by Sam's and Joe's binoculars.

Given information:
- Sam's binoculars increase his range of sight by 3/14 of a mile.
- Joe's binoculars increase his range of sight by 1 mile (16/16 of a mile).

Step 1: Convert the fractions to a common denominator.
Sam's binoculars: 3/14 of a mile = (3 × 16) / (14 × 16) = 48/224 of a mile
Joe's binoculars: 16/16 of a mile = 224/224 of a mile

Step 2: Add the range increases provided by Sam's and Joe's binoculars.
Combined range increase = Sam's range increase + Joe's range increase
Combined range increase = 48/224 + 224/224
Combined range increase = 272/224 of a mile

Step 3: Simplify the fraction if possible.
272/224 = (272/8) / (224/8)
272/224 = 34/28
272/224 = 1 + 6/28
272/224 = 1 + 3/14 of a mile

Therefore, the combined range increase when Sam and Joe use their binoculars one after the other is 1 + 3/14 of a mile.

### Answer: 1 + 3/14

Expected answer: 17/14

Correct? Yes

Problem: Maria uses 15/10 yards of fabric for a section of a blanket and 9/18 more yards for another section. What is the total length of fabric Maria uses for these two sections?

Claude-3 Sonnet:

To solve this problem, we need to convert the fractions to have a common denominator and then add them together.

Given information:
- Maria uses 15/10 yards of fabric for the first section.
- Maria uses 9/18 more yards for the second section.

Step 1: Convert the fractions to have a common denominator.
Common denominator = 90 (least common multiple of 10 and 18)

15/10 = 15/10 × 9/9 = 135/90
9/18 = 9/18 × 5/5 = 45/90

Step 2: Add the fractions.
135/90 + 45/90 = 180/90

Step 3: Convert the fraction to a mixed number.
180/90 = 2 (180 ÷ 90)

Therefore, the total length of fabric Maria uses for these two sections is 2 yards.

### Answer: 2

Expected answer: 2

Correct? Yes

Problem: A turtle walks 10/5 miles forward, then walks backward 5/16 mile. How many miles has the turtle actually covered from its starting point?

Claude-3 Sonnet:

To solve this problem, we need to find the net distance covered by the turtle.

Given information:
- The turtle walks 10/5 miles forward.
- The turtle walks 5/16 miles backward.

Step 1: Convert the fractions to decimals.
10/5 miles forward = 2 miles forward
5/16 miles backward = 0.3125 miles backward

Step 2: Find the net distance covered by subtracting the distance walked backward from the distance walked forward.
Net distance covered = Distance walked forward - Distance walked backward
Net distance covered = 2 miles - 0.3125 miles
Net distance covered = 1.6875 miles

Therefore, the turtle has actually covered 1.6875 miles from its starting point.

### Answer: 1.6875

Expected answer: 27/16

Correct? Yes

Problem: A painter uses 18/11 liters of blue paint and 1/8 liters of white paint to mix a shade of sky blue. How much paint in liters did he use in total?

Claude-3 Sonnet:

To solve this problem, we need to add the amounts of blue and white paint used.

Given information:
- The painter used 18/11 liters of blue paint.
- The painter used 1/8 liters of white paint.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
18/11 = (18 × 8)/88 = 144/88
1/8 = 11/88

Step 2: Add the amounts of blue and white paint.
Total amount of paint used = Amount of blue paint + Amount of white paint
Total amount of paint used = 144/88 + 11/88
Total amount of paint used = 155/88

Step 3: Convert the fraction to a mixed number or decimal form.
155/88 = 1 67/88 liters
155/88 ≈ 1.76 liters

Therefore, the painter used a total of 1.76 liters of paint to mix the shade of sky blue.

### Answer: 1.76

Expected answer: 155/88

Correct? No

Problem: A computer program executed 8 tasks in 4 minutes and then executed another 20 tasks in 14 minutes. What is the total number of tasks it executed per minute?

Claude-3 Sonnet:

To solve this problem, we need to find the total number of tasks executed and the total time taken, and then divide the total number of tasks by the total time.

Given information:
- The computer program executed 8 tasks in 4 minutes.
- The computer program executed 20 tasks in 14 minutes.

Step 1: Find the total number of tasks executed.
Total tasks executed = 8 + 20 = 28 tasks

Step 2: Find the total time taken.
Total time taken = 4 minutes + 14 minutes = 18 minutes

Step 3: Calculate the number of tasks executed per minute.
Number of tasks executed per minute = Total tasks executed / Total time taken
Number of tasks executed per minute = 28 tasks / 18 minutes
Number of tasks executed per minute = 1.556 tasks per minute

Therefore, the computer program executed approximately 1.556 tasks per minute.

### Answer: 1.556

Expected answer: 24/7

Correct? No

Problem: At the end of a rainbow, there are pots filled with magical gold coins. One pot contains 12/13 of a pound of gold coins while another contains 3/2 pounds of gold coins. How much gold is there in total?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the weights of gold coins in the two pots.

Given information:
- One pot contains 12/13 of a pound of gold coins.
- Another pot contains 3/2 pounds of gold coins.

Step 1: Convert the fractions to decimal form.
12/13 of a pound = 12/13 = 0.923 pounds
3/2 pounds = 3/2 = 1.5 pounds

Step 2: Find the total weight of gold coins by adding the weights from both pots.
Total weight of gold coins = Weight of gold coins in the first pot + Weight of gold coins in the second pot
Total weight of gold coins = 0.923 pounds + 1.5 pounds
Total weight of gold coins = 2.423 pounds

Therefore, the total amount of gold in the two pots is 2.423 pounds.

### Answer: 2.423

Expected answer: 63/26

Correct? No

Problem: In space, an alien named Zorg receives a video message from earth that is divided into parts. The first part of the message is 4/4 hours long, and the second part is 11/1 hour long. How long in total is the message Zorg received?

Claude-3 Sonnet:

To solve this problem, we need to convert the fractions into a common unit of measurement, which in this case is hours.

Given information:
- The first part of the message is 4/4 hours long.
- The second part of the message is 11/1 hours long.

Step 1: Convert the fractions to improper fractions.
4/4 hours = 1 hour
11/1 hours = 11 hours

Step 2: Add the durations of the two parts.
Total duration = Duration of the first part + Duration of the second part
Total duration = 1 hour + 11 hours
Total duration = 12 hours

Therefore, the total length of the message Zorg received is 12 hours.

### Answer: 12

Expected answer: 12

Correct? Yes

Problem: In a park, 10 ducks are equally distributed among 5 ponds, implying each pond has 10 / 5 ducks. In the same park, 8 fish are distributed among 10 small pools, with each pool having 8 / 10 fish. How many animals are there in each pond and pool combined?

Claude-3 Sonnet:

To solve this problem, we need to find the number of ducks in each pond and the number of fish in each pool, and then add them together.

Given information:
- There are 10 ducks equally distributed among 5 ponds.
- There are 8 fish distributed among 10 small pools.

Step 1: Find the number of ducks in each pond.
Number of ducks in each pond = Total number of ducks / Number of ponds
Number of ducks in each pond = 10 / 5 = 2 ducks

Step 2: Find the number of fish in each pool.
Number of fish in each pool = Total number of fish / Number of pools
Number of fish in each pool = 8 / 10 = 0.8 fish

Step 3: Find the total number of animals in each pond and pool combined.
Total animals in each pond and pool = Number of ducks in each pond + Number of fish in each pool
Total animals in each pond and pool = 2 + 0.8 = 2.8 animals

### Answer: 2.8

Expected answer: 14/5

Correct? Yes

Problem: On a map, 15/11 inches represents the distance between Town A and Town B, and 16/15 inches represents the distance between Town B and Town C. What is the total distance between Town A and Town C on the map?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the distances between Town A and Town B, and Town B and Town C.

Given information:
- 15/11 inches represents the distance between Town A and Town B.
- 16/15 inches represents the distance between Town B and Town C.

Step 1: Convert the fractions to decimals.
Distance between Town A and Town B = 15/11 = 1.36 inches
Distance between Town B and Town C = 16/15 = 1.07 inches

Step 2: Add the distances to find the total distance between Town A and Town C.
Total distance between Town A and Town C = Distance between Town A and Town B + Distance between Town B and Town C
Total distance between Town A and Town C = 1.36 inches + 1.07 inches
Total distance between Town A and Town C = 2.43 inches

Therefore, the total distance between Town A and Town C on the map is 2.43 inches.

### Answer: 2.43

Expected answer: 401/165

Correct? No

Problem: A soap company produces 13/18 tons of Soap A and 4/6 tons of Soap B in a day. How many tons of soap do they produce in total each day?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the amounts of Soap A and Soap B produced in a day.

Given information:
- The company produces 13/18 tons of Soap A in a day.
- The company produces 4/6 tons of Soap B in a day.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
13/18 tons of Soap A = (13/18) × (6/6) = 78/108 tons of Soap A
4/6 tons of Soap B = (4/6) × (18/18) = 72/108 tons of Soap B

Step 2: Add the amounts of Soap A and Soap B.
Total tons of soap produced in a day = Amount of Soap A + Amount of Soap B
Total tons of soap produced in a day = 78/108 + 72/108
Total tons of soap produced in a day = 150/108

Step 3: Convert the fraction to a mixed number or a decimal for better understanding.
150/108 = 1 42/108 = 1 + (42/108) = 1 + 0.388888... ≈ 1.39 tons

Therefore, the soap company produces approximately 1.39 tons of soap in total each day.

### Answer: 1.39

Expected answer: 25/18

Correct? No

Problem: Mark bought a sleeping bag that was 19/2 feet long. However, he decides to cut off 13/12 feet from it to fit his height. How long is his sleeping bag now?

Claude-3 Sonnet:

To solve this problem, we need to convert the fractions to the same denominator and then perform the subtraction.

Given information:
- Mark's sleeping bag was initially 19/2 feet long.
- He cut off 13/12 feet from the sleeping bag.

Step 1: Convert the fractions to the same denominator.
19/2 = (19/2) × (6/6) = 57/12 feet (initial length)
13/12 feet (length cut off)

Step 2: Subtract the length cut off from the initial length.
Initial length - Length cut off = New length
57/12 - 13/12 = 44/12 feet

Step 3: Convert the fraction to a mixed number (if applicable).
44/12 = 3 (remaining whole feet) + 8/12 (remaining fraction of a foot)

Therefore, Mark's sleeping bag is now 3 8/12 feet long.

### Answer: 3 8/12

Expected answer: 101/12

Correct? No

Problem: At the zoo, Mary feeds 6/20 pounds of food to the monkeys, and 18/15 pounds of food to the giraffes. How many pounds of food in total has she given to the monkeys and giraffes?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the amounts of food given to the monkeys and giraffes.

Given information:
- Mary feeds 6/20 pounds of food to the monkeys.
- Mary feeds 18/15 pounds of food to the giraffes.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
6/20 = 3/10 pounds of food to the monkeys
18/15 = 12/10 pounds of food to the giraffes

Step 2: Add the amounts of food given to the monkeys and giraffes.
Amount of food given to the monkeys and giraffes = 3/10 + 12/10 = 15/10 pounds

Step 3: Convert the resulting fraction to a mixed number or decimal form.
15/10 = 1.5 pounds

Therefore, Mary has given a total of 1.5 pounds of food to the monkeys and giraffes.

### Answer: 1.5

Expected answer: 3/2

Correct? Yes

Problem: Albert has a deck of 20/17 full sets of cards to start. He then collects another full set of 4/1 cards. How many full sets of cards does he have now?

Claude-3 Sonnet:

To solve this problem, we need to find the number of full sets of cards Albert had initially and then add the new set he collected.

Given information:
- Albert had 20/17 full sets of cards initially.
- He collected another full set of 4/1 cards.

Step 1: Convert the mixed fractions to improper fractions.
20/17 full sets = (20 × 17 + 17) / 17 = 357 / 17 full sets
4/1 full set = 4 / 1 = 4 full sets

Step 2: Add the initial number of full sets and the new set collected.
Total number of full sets = Initial number of full sets + New set collected
Total number of full sets = 357 / 17 + 4
Total number of full sets = 361 / 17 full sets

Step 3: Convert the improper fraction to a mixed fraction (if needed).
361 / 17 = 21 (with a remainder of 2)
Therefore, 361 / 17 = 21 2/17 full sets

### Answer: 21 2/17

Expected answer: 88/17

Correct? No

Problem: A jeweler has 5/14 pound of silver and adds 18/19 pounds more to the supply. How many pounds of silver does the jeweler have now to make rings?

Claude-3 Sonnet:

To solve this problem, we need to add the two fractions representing the initial amount of silver and the additional amount of silver.

Given information:
- The jeweler initially has 5/14 pounds of silver.
- The jeweler adds 18/19 pounds of silver to the supply.

Step 1: Find the least common denominator (LCD) of 14 and 19.
LCD = 14 × 19 = 266

Step 2: Convert the fractions to equivalent fractions with the LCD as the denominator.
5/14 = (5 × 19)/266 = 95/266
18/19 = (18 × 14)/266 = 252/266

Step 3: Add the fractions.
95/266 + 252/266 = 347/266

Step 4: Simplify the fraction if possible.
347/266 = 1 81/266 (1 whole and 81/266)

Therefore, the jeweler now has 1 81/266 pounds of silver to make rings.

### Answer: 1 81/266

Expected answer: 347/266

Correct? Yes

Problem: A turtle starts at a point and moves 11 meters northward. Then, it moves 15/15 of a meter back towards the starting point. How many meters is the turtle from its starting point after these two movement?

Claude-3 Sonnet:

To solve this problem, we need to find the net distance traveled by the turtle after the two movements.

Given information:
- The turtle starts at a point.
- The turtle moves 11 meters northward.
- The turtle then moves 15/15 of a meter (1 meter) back towards the starting point.

Step 1: Find the distance traveled after the first movement.
Distance traveled after the first movement = 11 meters

Step 2: Find the distance traveled after the second movement.
Distance traveled after the second movement = 1 meter (back towards the starting point)

Step 3: Find the net distance traveled by the turtle.
Net distance traveled = Distance traveled after the first movement - Distance traveled after the second movement
Net distance traveled = 11 meters - 1 meter
Net distance traveled = 10 meters

Therefore, the turtle is 10 meters away from its starting point after these two movements.

### Answer: 10

Expected answer: 10

Correct? Yes

Problem: Chloe has a chocolate bar that is 19/2 ounces. If she eats a piece that is 17/2 ounces, how many ounces of chocolate does she have left?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the total weight of the chocolate bar and the weight of the piece that Chloe ate.

Given information:
- The chocolate bar weighs 19/2 ounces.
- Chloe ate a piece that weighs 17/2 ounces.

Step 1: Convert the mixed fractions to improper fractions.
Weight of the chocolate bar = 19/2 = (19 × 2) / 2 = 38/2 = 19 ounces
Weight of the piece Chloe ate = 17/2 = (17 × 2) / 2 = 34/2 = 17 ounces

Step 2: Subtract the weight of the piece Chloe ate from the total weight of the chocolate bar.
Weight of chocolate left = Total weight of the chocolate bar - Weight of the piece Chloe ate
Weight of chocolate left = 19 ounces - 17 ounces
Weight of chocolate left = 2 ounces

Therefore, Chloe has 2 ounces of chocolate left.

### Answer: 2

Expected answer: 1

Correct? No

Problem: Sammy has a backpack with a capacity of 20/9 liters. If he adds another pouch to the backpack that can hold 8/4 more liters, what will be the total capacity of his backpack?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the capacities of the backpack and the pouch.

Given information:
- Sammy's backpack has a capacity of 20/9 liters.
- The pouch can hold an additional 8/4 liters.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
20/9 = (20/9) × (4/4) = 80/36 liters (backpack capacity)
8/4 = (8/4) × (9/9) = 72/36 liters (pouch capacity)

Step 2: Add the capacities of the backpack and the pouch.
Total capacity = Backpack capacity + Pouch capacity
Total capacity = 80/36 + 72/36
Total capacity = 152/36 liters

Step 3: Simplify the fraction by dividing the numerator and denominator by their greatest common factor (GCF).
GCF of 152 and 36 is 4.
152/36 = (152/4) / (36/4)
152/36 = 38/9 liters

Therefore, the total capacity of Sammy's backpack after adding the pouch will be 38/9 liters.

### Answer: 38/9

Expected answer: 38/9

Correct? Yes

Problem: Captain Hook has 11/8 ounces of gold. He finds an additional 5/5 ounces of gold on his latest treasure hunt. What is the total weight of the gold Captain Hook now has?

Claude-3 Sonnet:

To solve this problem, we need to add the two fractions representing the weights of gold Captain Hook had initially and the additional gold he found.

Given information:
- Captain Hook had 11/8 ounces of gold initially.
- He found an additional 5/5 ounces of gold on his latest treasure hunt.

Step 1: Find the least common denominator (LCD) for the two fractions.
LCD = Least common multiple of 8 and 5
LCD = 40

Step 2: Convert the fractions to equivalent fractions with the LCD as the denominator.
11/8 = (11 × 5)/40 = 55/40
5/5 = (5 × 8)/40 = 40/40 = 1

Step 3: Add the fractions.
(55/40) + (40/40) = (55 + 40)/40 = 95/40

Step 4: Simplify the fraction if possible.
95/40 = 2 37/40 ounces

Therefore, the total weight of the gold Captain Hook now has is 2 37/40 ounces.

### Answer: 2 37/40

Expected answer: 19/8

Correct? No

Problem: If Jake originally had 9/10 of a dollar and then received an additional 20/15 of a dollar, how much money does he have in his wallet now?

Claude-3 Sonnet:

To solve this problem, we need to convert the fractions to a common denominator and then add them together.

Given information:
- Jake originally had 9/10 of a dollar.
- Jake received an additional 20/15 of a dollar.

Step 1: Find the least common multiple (LCM) of 10 and 15.
LCM of 10 and 15 = 30

Step 2: Convert the fractions to equivalent fractions with the LCM as the denominator.
9/10 = (9 × 3)/30 = 27/30
20/15 = (20 × 2)/30 = 40/30

Step 3: Add the fractions.
(27/30) + (40/30) = 67/30

Step 4: Simplify the fraction if possible.
67/30 = 2 21/30

Therefore, Jake has 2 21/30 dollars in his wallet now.

### Answer: 2 21/30

Expected answer: 67/30

Correct? No

Problem: Paul has built the front half of a chair that measures 5/2 feet high. He also constructs the back portion of the chair that measures 20/14 feet. What is the combined height of the front and back portions of the chair that Paul has constructed?

Claude-3 Sonnet:

To solve this problem, we need to convert the fractions to the same denominator and then add them.

Given information:
- The front half of the chair measures 5/2 feet high.
- The back portion of the chair measures 20/14 feet high.

Step 1: Convert the fractions to the same denominator.
Lowest common denominator (LCD) = 14

5/2 = (5/2) × (7/7) = (35/14)
20/14 = (20/14)

Step 2: Add the fractions with the same denominator.
(35/14) + (20/14) = (35 + 20)/14 = 55/14

Step 3: Convert the fraction to a mixed number (if applicable).
55/14 = 3 + (13/14) feet

Therefore, the combined height of the front and back portions of the chair that Paul has constructed is 3 + (13/14) feet.

### Answer: 3 + (13/14)

Expected answer: 55/14

Correct? Yes

Problem: John has 5 shirts and he donated 12/9 of them to charity. How many shirts does he have left?

Claude-3 Sonnet:

To solve this problem, we need to find out how many shirts John donated to charity and then subtract that number from the total number of shirts he had initially.

Given information:
- John has 5 shirts.
- John donated 12/9 of his shirts to charity.

Step 1: Convert the fraction 12/9 to a decimal.
12/9 = 1.33 (rounded to two decimal places)

Step 2: Find the number of shirts John donated to charity.
Number of shirts donated = Total number of shirts × Fraction of shirts donated
Number of shirts donated = 5 × 1.33
Number of shirts donated = 6.65 (rounded down to the nearest whole number, which is 6)

Step 3: Find the number of shirts John has left.
Number of shirts left = Total number of shirts - Number of shirts donated
Number of shirts left = 5 - 6
Number of shirts left = -1

Since the number of shirts left cannot be negative, it means that John donated all of his 5 shirts and still had to give away 1 more shirt.

Therefore, the number of shirts John has left is 0.

### Answer: 0

Expected answer: 11/3

Correct? No

Problem: Bob has a jacket that measures 14/3 meters in length. However, he finds the jacket is slightly too long for him so he decides to cut off 14/16 meter from the original length. What is the length of Bob's jacket after the alteration?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the original length of the jacket and the length that Bob cut off.

Given information:
- The original length of the jacket is 14/3 meters.
- Bob cut off 14/16 meters from the original length.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
14/3 = (14 × 16) / (3 × 16) = 224/48
14/16 = 14/16

Step 2: Subtract the length cut off from the original length.
Original length - Length cut off = New length
224/48 - 14/16 = (224/48 - 28/48) = 196/48
= 196/48 = 49/12 meters

Therefore, the length of Bob's jacket after the alteration is 49/12 meters.

### Answer: 49/12

Expected answer: 91/24

Correct? No

Problem: Officer Max spends 2/6 part of an hour completing paperwork. Then, he spends 14/7 parts of an hour patrolling the neighborhood. How much time, in parts of an hour, does Officer Max use for these two tasks?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the time spent on completing paperwork and patrolling the neighborhood, expressed in parts of an hour.

Given information:
- Officer Max spends 2/6 part of an hour completing paperwork.
- Officer Max spends 14/7 parts of an hour patrolling the neighborhood.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
Common denominator = 42 (least common multiple of 6 and 7)

2/6 part of an hour = (2/6) × (7/7) = 14/42 part of an hour
14/7 parts of an hour = (14/7) × (6/6) = 24/42 parts of an hour

Step 2: Add the time spent on both tasks.
Time spent on completing paperwork + Time spent on patrolling the neighborhood
= 14/42 + 24/42
= 38/42 parts of an hour

Therefore, Officer Max uses 38/42 parts of an hour for completing paperwork and patrolling the neighborhood.

### Answer: 38/42

Expected answer: 7/3

Correct? No

Problem: John watched a movie for 10/12 of an hour and then watched a TV show for another 3/8 of an hour. What is the total time he spent watching in hours?

Claude-3 Sonnet:

To solve this problem, we need to convert the fractions of an hour into decimal values and then add them together.

Given information:
- John watched a movie for 10/12 of an hour.
- John watched a TV show for 3/8 of an hour.

Step 1: Convert 10/12 of an hour to a decimal value.
10/12 = 0.833 hours (10 ÷ 12 = 0.833)

Step 2: Convert 3/8 of an hour to a decimal value.
3/8 = 0.375 hours (3 ÷ 8 = 0.375)

Step 3: Add the decimal values to find the total time spent watching.
Total time spent watching = Time spent watching the movie + Time spent watching the TV show
Total time spent watching = 0.833 hours + 0.375 hours
Total time spent watching = 1.208 hours

Therefore, John spent a total of 1.208 hours watching the movie and the TV show.

### Answer: 1.208

Expected answer: 29/24

Correct? No

Problem: Mr. Carpenter makes crafting chairs a meticulous process. He takes 5/3 hours to build the frame and additional 10/13 hours to upholster it. How long does it take for him to build a chair from start to finish?

Claude-3 Sonnet:

To solve this problem, we need to add the time it takes to build the frame and the time it takes to upholster the chair.

Given information:
- It takes 5/3 hours to build the frame.
- It takes 10/13 hours to upholster the chair.

Step 1: Convert the fractions to decimal form for easier addition.
5/3 hours = 1.67 hours (to build the frame)
10/13 hours = 0.77 hours (to upholster the chair)

Step 2: Add the time to build the frame and the time to upholster the chair.
Total time = Time to build the frame + Time to upholster the chair
Total time = 1.67 hours + 0.77 hours
Total time = 2.44 hours

Therefore, it takes Mr. Carpenter 2.44 hours to build a chair from start to finish.

### Answer: 2.44

Expected answer: 95/39

Correct? No

Problem: Anna has a bracelet that consists of small and large beads. The small beads are each 8/4 mm in diameter and the large beads are each 15/2 mm in diameter. If she adds a small and a large bead to her bracelet, what would be the total added diameter in mm?

Claude-3 Sonnet:

To solve this problem, we need to find the diameter of a small bead and a large bead, and then add them together.

Given information:
- The small beads are each 8/4 mm in diameter.
- The large beads are each 15/2 mm in diameter.

Step 1: Find the diameter of a small bead.
Diameter of a small bead = 8/4 mm
Diameter of a small bead = 2 mm

Step 2: Find the diameter of a large bead.
Diameter of a large bead = 15/2 mm
Diameter of a large bead = 7.5 mm

Step 3: Find the total added diameter by adding the diameter of a small bead and a large bead.
Total added diameter = Diameter of a small bead + Diameter of a large bead
Total added diameter = 2 mm + 7.5 mm
Total added diameter = 9.5 mm

Therefore, if Anna adds a small and a large bead to her bracelet, the total added diameter would be 9.5 mm.

### Answer: 9.5

Expected answer: 19/2

Correct? Yes

Problem: A rocket travels 11/18 light-years to an alien planet, then travels another 8/2 light-years towards a distant star. What is the total distance covered by the rocket?

Claude-3 Sonnet:

To solve this problem, we need to add the distances traveled by the rocket to the alien planet and towards the distant star.

Given information:
- The rocket travels 11/18 light-years to an alien planet.
- The rocket travels another 8/2 light-years towards a distant star.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
11/18 light-years = (11 × 2) / (18 × 2) = 22/36 light-years
8/2 light-years = (8 × 18) / (2 × 18) = 144/36 light-years

Step 2: Add the distances.
Total distance covered by the rocket = 22/36 light-years + 144/36 light-years
Total distance covered by the rocket = (22 + 144) / 36 light-years
Total distance covered by the rocket = 166/36 light-years

Step 3: Simplify the fraction if possible.
166/36 = (166 ÷ 2) / (36 ÷ 2)
166/36 = 83/18 light-years

Therefore, the total distance covered by the rocket is 83/18 light-years.

### Answer: 83/18

Expected answer: 83/18

Correct? Yes

Problem: Johnathan needs 12/14 yards of one fabric to make a sleeping bag, and another 8/5 yards of a different fabric to create the liner. How many yards of fabric does he need in total to create his sleeping bag?

Claude-3 Sonnet:

To solve this problem, we need to add the amounts of fabric required for the sleeping bag and the liner.

Given information:
- Johnathan needs 12/14 yards of fabric for the sleeping bag.
- Johnathan needs 8/5 yards of fabric for the liner.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
12/14 = 30/35 (multiplying both the numerator and denominator by 5/5)
8/5 = 56/35 (multiplying both the numerator and denominator by 7/7)

Step 2: Add the equivalent fractions.
30/35 + 56/35 = 86/35

Step 3: Convert the resulting fraction to a mixed number or decimal form.
86/35 = 2 46/35 = 2.46 yards

Therefore, Johnathan needs a total of 2.46 yards of fabric to create his sleeping bag.

### Answer: 2.46

Expected answer: 86/35

Correct? No

Problem: In a forest, there are 5/4 acres of pine trees and 1/2 acre of oak trees. What is the total acreage of pine and oak trees in the forest?

Claude-3 Sonnet:

To solve this problem, we need to add the acreage of pine trees and the acreage of oak trees.

Given information:
- There are 5/4 acres of pine trees.
- There are 1/2 acre of oak trees.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
5/4 = 5/4 × 2/2 = 10/8
1/2 = 1/2 × 4/4 = 4/8

Step 2: Add the acreages of pine trees and oak trees.
Total acreage = Acreage of pine trees + Acreage of oak trees
Total acreage = 10/8 + 4/8
Total acreage = 14/8

Step 3: Simplify the fraction if possible.
14/8 = 7/4

Therefore, the total acreage of pine and oak trees in the forest is 7/4 acres.

### Answer: 7/4

Expected answer: 7/4

Correct? Yes

Problem: Jake has 12/7 of a yard of fabric. He finds another piece that measures 2/14 of a yard. If he combines both pieces, how much fabric does he have to make his shirt?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the two fractions representing the lengths of the fabric pieces.

Given information:
- Jake has 12/7 of a yard of fabric.
- Jake finds another piece that measures 2/14 of a yard.

Step 1: Find the least common denominator (LCD) of the fractions.
LCD = 14

Step 2: Convert the fractions to equivalent fractions with the LCD as the denominator.
12/7 = (12 × 2)/14 = 24/14
2/14 = 2/14

Step 3: Add the fractions with the same denominator.
24/14 + 2/14 = 26/14

Step 4: Simplify the fraction if possible.
26/14 = 13/7 yards

Therefore, if Jake combines both pieces of fabric, he will have 13/7 yards of fabric to make his shirt.

### Answer: 13/7

Expected answer: 13/7

Correct? Yes

Problem: At a park, a special tree produces on average 10/4 kilograms of fruit every summer. In the winter, it loses some of its fruit, amounting to 12/20 kg. What is the difference in kilograms of the fruit from summer to winter?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the amount of fruit produced in summer and the amount of fruit remaining after the winter loss.

Given information:
- The tree produces an average of 10/4 kilograms of fruit every summer.
- In the winter, the tree loses 12/20 kilograms of fruit.

Step 1: Convert the fractions to decimals.
Amount of fruit produced in summer = 10/4 = 2.5 kilograms
Amount of fruit lost in winter = 12/20 = 0.6 kilograms

Step 2: Find the amount of fruit remaining after the winter loss.
Amount of fruit remaining = Amount of fruit produced in summer - Amount of fruit lost in winter
Amount of fruit remaining = 2.5 kilograms - 0.6 kilograms = 1.9 kilograms

Step 3: Find the difference between the amount of fruit produced in summer and the amount of fruit remaining after the winter loss.
Difference = Amount of fruit produced in summer - Amount of fruit remaining
Difference = 2.5 kilograms - 1.9 kilograms = 0.6 kilograms

Therefore, the difference in kilograms of the fruit from summer to winter is 0.6 kilograms.

### Answer: 0.6

Expected answer: 19/10

Correct? No

Problem: A ballerina starts with a routine that lasts 13/5 minutes but decides to shorten it by 15/16 minutes. How long is her routine after shortening it?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the original duration of the routine and the amount by which it was shortened.

Given information:
- The original duration of the routine is 13/5 minutes.
- The routine was shortened by 15/16 minutes.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
13/5 = (13 × 16) / (5 × 16) = 208/80 minutes (original duration)
15/16 minutes (amount shortened)

Step 2: Subtract the amount shortened from the original duration.
Original duration - Amount shortened = New duration
208/80 - 15/80 = 193/80 minutes

Step 3: Convert the resulting fraction to a mixed number.
193/80 = 2 41/80 minutes

Therefore, the ballerina's routine lasts 2 41/80 minutes after shortening it.

### Answer: 2 41/80

Expected answer: 133/80

Correct? No

Problem: Miss Daisy has 19/6 kg of fertilizers for her flowers. If she uses 17/20 kg on her roses, how much fertilizers does she have left to use on her other flowers?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the total amount of fertilizers Miss Daisy has and the amount she used on her roses.

Given information:
- Miss Daisy has 19/6 kg of fertilizers.
- Miss Daisy used 17/20 kg of fertilizers on her roses.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
19/6 = (19 × 5)/30 = 95/30 kg (total amount of fertilizers)
17/20 = 17/20 kg (amount used on roses)

Step 2: Subtract the amount used on roses from the total amount of fertilizers.
Amount of fertilizers left = Total amount of fertilizers - Amount used on roses
Amount of fertilizers left = 95/30 - 17/20
Amount of fertilizers left = (95/30 - 51/90) kg
Amount of fertilizers left = (95 × 3 - 51 × 1)/90 kg
Amount of fertilizers left = 234/90 kg

Step 3: Convert the fraction to a mixed number (if applicable).
234/90 = 2 64/90 kg

Therefore, Miss Daisy has 2 64/90 kg of fertilizers left to use on her other flowers.

### Answer: 2 64/90

Expected answer: 139/60

Correct? No

Problem: Scientists have discovered that the moon is slowly moving away from Earth. If the distance increases by 4/16 meters every year, and unexpectedly there was an additional increase of 20/6 meters this year, what is the total change in distance this year?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the regular annual increase and the additional unexpected increase.

Given information:
- The regular annual increase in the distance between the Earth and the Moon is 4/16 meters.
- There was an additional unexpected increase of 20/6 meters this year.

Step 1: Convert the fractions to decimals for easier calculation.
Regular annual increase = 4/16 = 0.25 meters
Additional unexpected increase = 20/6 = 3.33 meters

Step 2: Find the total change in distance this year by adding the regular annual increase and the additional unexpected increase.
Total change in distance this year = Regular annual increase + Additional unexpected increase
Total change in distance this year = 0.25 meters + 3.33 meters
Total change in distance this year = 3.58 meters

### Answer: 3.58

Expected answer: 43/12

Correct? No

Problem: Bob has 11/3 dollars in one pocket of his wallet and 12/19 dollars in another pocket. How much money does he have in total in his wallet?

Claude-3 Sonnet:

To solve this problem, we need to find a common denominator for the fractions and then add the fractions.

Given information:
- Bob has 11/3 dollars in one pocket.
- Bob has 12/19 dollars in another pocket.

Step 1: Find the least common multiple (LCM) of 3 and 19 to get the common denominator.
LCM of 3 and 19 = 57

Step 2: Convert the fractions to equivalent fractions with the common denominator of 57.
11/3 = (11 × 19)/57 = 209/57
12/19 = (12 × 3)/57 = 36/57

Step 3: Add the fractions with the common denominator.
(209/57) + (36/57) = 245/57

Step 4: Simplify the fraction if possible.
245/57 = 4 19/57 (4 and 19/57 are in simplest form)

Therefore, Bob has a total of 4 19/57 dollars in his wallet.

### Answer: 4 19/57

Expected answer: 245/57

Correct? No

Problem: In an ocean, a shark swims a distance of 5/5 miles in the morning and adds an additional 12/18 miles in the afternoon. How many miles in total did the shark swim that day?

Claude-3 Sonnet:

To solve this problem, we need to add the distances swam by the shark in the morning and afternoon.

Given information:
- The shark swam 5/5 miles in the morning.
- The shark swam an additional 12/18 miles in the afternoon.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
5/5 miles = 18/18 miles (multiplying the numerator and denominator by 18/18)
12/18 miles

Step 2: Add the distances swam in the morning and afternoon.
Distance swam in the morning + Distance swam in the afternoon = Total distance swam
18/18 miles + 12/18 miles = 30/18 miles

Step 3: Convert the fraction to a mixed number or a decimal.
30/18 = 1 12/18 = 1 2/3 miles

Therefore, the shark swam a total of 1 2/3 miles that day.

### Answer: 1 2/3

Expected answer: 5/3

Correct? Yes

Problem: Jim types 20 words in 16 seconds and Mary types 9 words in 4 seconds. How many words per second do Jim and Mary type in total?

Claude-3 Sonnet:

To solve this problem, we need to find the rate at which Jim and Mary type words per second, and then add them together.

Given information:
- Jim types 20 words in 16 seconds.
- Mary types 9 words in 4 seconds.

Step 1: Find the rate at which Jim types words per second.
Jim's rate = Number of words typed / Time taken
Jim's rate = 20 words / 16 seconds
Jim's rate = 1.25 words per second

Step 2: Find the rate at which Mary types words per second.
Mary's rate = Number of words typed / Time taken
Mary's rate = 9 words / 4 seconds
Mary's rate = 2.25 words per second

Step 3: Find the total rate at which Jim and Mary type words per second.
Total rate = Jim's rate + Mary's rate
Total rate = 1.25 words per second + 2.25 words per second
Total rate = 3.5 words per second

### Answer: 3.5

Expected answer: 7/2

Correct? Yes

Problem: Max rode his scooter for 9/7 miles in the morning and then 1/9 miles less in the afternoon. How many miles did he ride his scooter in the afternoon?

Claude-3 Sonnet:

To solve this problem, we need to find the distance Max rode his scooter in the afternoon.

Given information:
- Max rode his scooter for 9/7 miles in the morning.
- Max rode 1/9 miles less in the afternoon than in the morning.

Step 1: Convert the fractions to decimals for easier calculation.
9/7 miles = 1.285714286 miles (in the morning)
1/9 miles = 0.111111111 miles

Step 2: Subtract the distance he rode less in the afternoon from the distance he rode in the morning.
Distance rode in the afternoon = Distance rode in the morning - Distance rode less in the afternoon
Distance rode in the afternoon = 1.285714286 - 0.111111111
Distance rode in the afternoon = 1.174603175 miles

Therefore, Max rode his scooter for 1.174603175 miles in the afternoon.

### Answer: 1.174603175

Expected answer: 74/63

Correct? No

Problem: At a circus, a clown rode a unicycle for 9/8 hours. After a short break, she juggled for another 2/10 hours. How many hours in total did she perform?

Claude-3 Sonnet:

To solve this problem, we need to convert the fractions into a common denominator and then add them together.

Given information:
- The clown rode a unicycle for 9/8 hours.
- The clown juggled for 2/10 hours.

Step 1: Convert the fractions to a common denominator.
Common denominator = 40
9/8 hours = (9 × 5)/40 = 45/40 hours
2/10 hours = (2 × 4)/40 = 8/40 hours

Step 2: Add the fractions together.
Total hours performed = 45/40 hours + 8/40 hours
                      = (45 + 8)/40 hours
                      = 53/40 hours

Step 3: Convert the fraction to a mixed number.
53/40 = 1 13/40 hours

Therefore, the clown performed for a total of 1 13/40 hours.

### Answer: 1 13/40

Expected answer: 53/40

Correct? Yes

Problem: If Timmy dumps 7/2 kg of sand into his sandbox and later adds another 1/2 kg, how much sand is now in his sandbox?

Claude-3 Sonnet:

To solve this problem, we need to add the two amounts of sand together.

Given information:
- Timmy initially dumped 7/2 kg of sand into the sandbox.
- Timmy later added another 1/2 kg of sand.

Step 1: Convert the fractions to decimals or improper fractions to make the addition easier.
7/2 kg = 3.5 kg
1/2 kg = 0.5 kg

Step 2: Add the two amounts of sand together.
3.5 kg + 0.5 kg = 4 kg

Therefore, there is now 4 kg of sand in Timmy's sandbox.

### Answer: 4

Expected answer: 4

Correct? Yes

Problem: A wizard brewed a potion that required 18/8 ounces of moon roots and 11/7 ounces of stardust. How many ounces of ingredients did the wizard use in total to prepare the potion?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the amounts of moon roots and stardust required for the potion.

Given information:
- The potion required 18/8 ounces of moon roots.
- The potion required 11/7 ounces of stardust.

Step 1: Convert the fractions to improper fractions.
18/8 = (18 ÷ 8) + (18 % 8)/8
18/8 = 2 + 2/8
18/8 = 2 + 1/4
18/8 = 9/4 ounces of moon roots

11/7 = (11 ÷ 7) + (11 % 7)/7
11/7 = 1 + 4/7
11/7 = 11/7 ounces of stardust

Step 2: Convert the improper fractions to mixed numbers.
9/4 = 2 1/4 ounces of moon roots
11/7 = 1 4/7 ounces of stardust

Step 3: Add the amounts of moon roots and stardust.
Total amount of ingredients = Amount of moon roots + Amount of stardust
Total amount of ingredients = 2 1/4 + 1 4/7 ounces
Total amount of ingredients = 3 9/28 ounces

Therefore, the wizard used a total of 3 9/28 ounces of ingredients to prepare the potion.

### Answer: 3 9/28

Expected answer: 107/28

Correct? No

Problem: An alien UFO traveled 3/10 of a mile, then immediately traveled an additional 16/20 of a mile. How many miles did the UFO travel in total?

Claude-3 Sonnet:

To solve this problem, we need to convert the fractions to decimals and then add them together.

Given information:
- The UFO traveled 3/10 of a mile.
- The UFO traveled an additional 16/20 of a mile.

Step 1: Convert 3/10 to a decimal.
3/10 = 0.3 miles

Step 2: Convert 16/20 to a decimal.
16/20 = 0.8 miles

Step 3: Add the two distances together.
Total distance traveled = 0.3 miles + 0.8 miles
Total distance traveled = 1.1 miles

Therefore, the UFO traveled a total of 1.1 miles.

### Answer: 1.1

Expected answer: 11/10

Correct? Yes

Problem: A chair manufacturing firm makes 4/14 of a chair every hour with one machine, and another machine makes 20/4 chairs. How many chairs are made by both machines in one hour?

Claude-3 Sonnet:

To solve this problem, we need to find the number of chairs made by each machine in one hour and then add them together.

Given information:
- One machine makes 4/14 of a chair every hour.
- Another machine makes 20/4 chairs every hour.

Step 1: Find the number of chairs made by the first machine in one hour.
4/14 of a chair = 4/14 × 1 chair = 2/7 chairs

Step 2: Find the number of chairs made by the second machine in one hour.
20/4 chairs = 5 chairs

Step 3: Find the total number of chairs made by both machines in one hour.
Total chairs made = Chairs made by the first machine + Chairs made by the second machine
Total chairs made = 2/7 chairs + 5 chairs
Total chairs made = (2/7 + 35/7) chairs
Total chairs made = 37/7 chairs

### Answer: 37/7

Expected answer: 37/7

Correct? Yes

Problem: A blue shark swam for 2/4 miles and a hammerhead shark swam for 7/10 miles. How many miles did they swim together?

Claude-3 Sonnet:

To solve this problem, we need to add the distances swam by the blue shark and the hammerhead shark.

Given information:
- The blue shark swam for 2/4 miles.
- The hammerhead shark swam for 7/10 miles.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
2/4 = 5/10 (multiplying the numerator and denominator by 5/4)
7/10 (no need to convert)

Step 2: Add the distances swam by the two sharks.
Distance swam by the blue shark + Distance swam by the hammerhead shark = Total distance swam together
5/10 + 7/10 = 12/10 = 1.2 miles

Therefore, the blue shark and the hammerhead shark swam together for a total of 1.2 miles.

### Answer: 1.2

Expected answer: 6/5

Correct? Yes

Problem: Lisa has two milk bottles. One bottle has 8/18 gallons of milk while the other bottle has 18/8 gallons. How much milk does Lisa have in total?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the amounts of milk in both bottles.

Given information:
- One bottle has 8/18 gallons of milk.
- The other bottle has 18/8 gallons of milk.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
8/18 = 4/9 gallons (dividing both the numerator and denominator by 2)
18/8 = 9/4 gallons (dividing both the numerator and denominator by 2)

Step 2: Add the amounts of milk in both bottles.
Total amount of milk = Amount of milk in bottle 1 + Amount of milk in bottle 2
Total amount of milk = 4/9 gallons + 9/4 gallons

Step 3: Convert the fractions to a common denominator.
4/9 gallons = 16/36 gallons
9/4 gallons = 81/36 gallons

Total amount of milk = 16/36 gallons + 81/36 gallons
Total amount of milk = 97/36 gallons

Step 4: Simplify the fraction if possible.
97/36 = 2 69/36 = 2 33/36 gallons

Therefore, Lisa has a total of 2 33/36 gallons of milk.

### Answer: 2 33/36

Expected answer: 97/36

Correct? No

Problem: A tree grows 1/10 of its height every month. This month, it additionally has grown 12/6 feet due to a fertilizer being applied. How much has the tree grown in height this month?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the growth due to the regular monthly growth and the additional growth due to the fertilizer.

Given information:
- The tree grows 1/10 of its height every month.
- The tree has grown an additional 12/6 = 2 feet due to the fertilizer.

Step 1: Find the regular monthly growth.
Regular monthly growth = 1/10 of the tree's height

Step 2: Find the total growth by adding the regular monthly growth and the additional growth due to the fertilizer.
Total growth = Regular monthly growth + Additional growth due to the fertilizer
Total growth = (1/10 of the tree's height) + 2 feet

Since we don't know the tree's height, we can express the final answer in terms of the tree's height.

### Answer: (1/10 of the tree's height) + 2 feet

Expected answer: 21/10

Correct? No

Problem: John sets up a large tent that occupies an area of 13/11 acres. Later in the day, he decides to set up another smaller tent which occupies an area of 8/20 acres. What is the total area occupied by both tents?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the areas occupied by the two tents.

Given information:
- The large tent occupies an area of 13/11 acres.
- The smaller tent occupies an area of 8/20 acres.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
Common denominator = 220 (least common multiple of 11 and 20)

Area of the large tent = (13/11) × (20/20) = 260/220 acres
Area of the smaller tent = (8/20) × (11/11) = 88/220 acres

Step 2: Add the areas of the two tents.
Total area occupied by both tents = Area of the large tent + Area of the smaller tent
Total area occupied by both tents = (260/220) + (88/220) acres
Total area occupied by both tents = 348/220 acres

Step 3: Simplify the fraction if possible.
348/220 = (348 ÷ 4) / (220 ÷ 4)
348/220 = 87/55 acres

Therefore, the total area occupied by both tents is 87/55 acres.

### Answer: 87/55

Expected answer: 87/55

Correct? Yes

Problem: Captain Jack has a treasure map that shows the treasure is at a location that is (17 / 20) km to the East and then (15 / 3) km to the North from their starting point. How far must they travel in total to reach the treasure?

Claude-3 Sonnet:

To solve this problem, we need to find the total distance traveled by Captain Jack to reach the treasure, which involves calculating the distance traveled in the East direction and the North direction, and then finding the resultant distance using the Pythagorean theorem.

Given information:
- Distance traveled to the East = (17 / 20) km
- Distance traveled to the North = (15 / 3) km

Step 1: Convert the fractions to decimal form.
Distance traveled to the East = 17 / 20 = 0.85 km
Distance traveled to the North = 15 / 3 = 5 km

Step 2: Use the Pythagorean theorem to find the resultant distance.
Let the resultant distance be d.
d^2 = (0.85)^2 + (5)^2
d^2 = 0.7225 + 25
d^2 = 25.7225
d = √(25.7225)
d ≈ 5.07 km

Therefore, Captain Jack must travel a total distance of approximately 5.07 km to reach the treasure.

### Answer: 5.07

Expected answer: 117/20

Correct? No

Problem: At a campfire, Sarah collected 11/20 of a pound of firewood and Alex collected 9/7 pounds. How many pounds of firewood did they collect in total?

Claude-3 Sonnet:

To solve this problem, we need to convert the fractions to a common denominator and then add them together.

Given information:
- Sarah collected 11/20 of a pound of firewood.
- Alex collected 9/7 pounds of firewood.

Step 1: Find the least common multiple (LCM) of 20 and 7 to convert the fractions to a common denominator.
LCM of 20 and 7 = 140

Step 2: Convert the fractions to equivalent fractions with a denominator of 140.
11/20 = 11 × 7/140 = 77/140 pounds
9/7 = 9 × 20/140 = 180/140 pounds

Step 3: Add the fractions with the common denominator.
77/140 + 180/140 = 257/140 pounds

Step 4: Convert the resulting fraction to a mixed number or decimal form.
257/140 = 1 117/140 pounds
117/140 = 0.8357... pounds

Therefore, Sarah and Alex collected a total of 1 117/140 pounds or approximately 1.8357 pounds of firewood.

### Answer: 1.8357

Expected answer: 257/140

Correct? No

Problem: Captain Bill sailed 19/5 miles north, before changing track and sailing an additional 12/15 miles north. How many miles north did Captain Bill sail in total?

Claude-3 Sonnet:

To solve this problem, we need to convert the mixed fractions into improper fractions and then add them together.

Given information:
- Captain Bill sailed 19/5 miles north.
- Captain Bill then sailed an additional 12/15 miles north.

Step 1: Convert 19/5 into an improper fraction.
19/5 = (19 ÷ 5) + (19 % 5)/5
19/5 = 3 + 4/5

Step 2: Convert 12/15 into an improper fraction.
12/15 = (12 ÷ 15) + (12 % 15)/15
12/15 = 0 + 12/15

Step 3: Add the improper fractions together.
(3 + 4/5) + (0 + 12/15)
= 3 + 4/5 + 0 + 12/15
= 3 + (4 × 3 + 12)/15 (Finding the common denominator)
= 3 + 24/15
= 69/15

Step 4: Convert the improper fraction into a mixed fraction.
69/15 = (69 ÷ 15) + (69 % 15)/15
69/15 = 4 + 9/15

Therefore, Captain Bill sailed a total of 4 9/15 miles north.

### Answer: 4 9/15

Expected answer: 23/5

Correct? Yes

Problem: A restaurant uses 19/17 pounds of ham and 9/4 pounds of turkey for their signature sandwich. What is the total weight of the two types of meat per sandwich?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the weights of ham and turkey used for the sandwich.

Given information:
- The restaurant uses 19/17 pounds of ham per sandwich.
- The restaurant uses 9/4 pounds of turkey per sandwich.

Step 1: Convert the fractions to improper fractions.
Weight of ham = 19/17 pounds = (19 ÷ 17) + (19 % 17)/17 = 1 + 2/17 pounds
Weight of turkey = 9/4 pounds = (9 ÷ 4) + (9 % 4)/4 = 2 + 1/4 pounds

Step 2: Convert the improper fractions to mixed fractions.
Weight of ham = 1 + 2/17 pounds = 1 2/17 pounds
Weight of turkey = 2 + 1/4 pounds = 2 1/4 pounds

Step 3: Add the weights of ham and turkey.
Total weight of meat per sandwich = Weight of ham + Weight of turkey
Total weight of meat per sandwich = 1 2/17 pounds + 2 1/4 pounds
Total weight of meat per sandwich = 3 19/68 pounds

Therefore, the total weight of the two types of meat per sandwich is 3 19/68 pounds.

### Answer: 3 19/68

Expected answer: 229/68

Correct? No

Problem: Lucy has a sleeping bag that is 18/19 meter long. She got an extension for her sleeping bag which made it 8/11 meter longer. What's the total length of the sleeping bag now?

Claude-3 Sonnet:

To solve this problem, we need to find the initial length of the sleeping bag and then add the length of the extension to it.

Given information:
- The initial length of the sleeping bag is 18/19 meters.
- The extension made the sleeping bag 8/11 meters longer.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
Initial length of the sleeping bag = 18/19 meters = (18 × 11) / (19 × 11) = 198/209 meters
Length of the extension = 8/11 meters = (8 × 19) / (11 × 19) = 152/209 meters

Step 2: Add the initial length and the length of the extension.
Total length of the sleeping bag = Initial length + Length of the extension
Total length of the sleeping bag = 198/209 meters + 152/209 meters
Total length of the sleeping bag = 350/209 meters

Step 3: Convert the fraction to a mixed number.
350/209 = 1 + 141/209 meters

Therefore, the total length of the sleeping bag after adding the extension is 1 + 141/209 meters.

### Answer: 1 + 141/209 meters

Expected answer: 350/209

Correct? Yes

Problem: Sarah pours 10/13 gallon of water into a container. Then she adds another 8/2 gallons of water into it. How many total gallons of water are there in the container now?

Claude-3 Sonnet:

To solve this problem, we need to convert the fractions to have a common denominator and then add them together.

Given information:
- Sarah pours 10/13 gallon of water into a container.
- Sarah adds another 8/2 gallons of water into the container.

Step 1: Convert the fractions to have a common denominator.
Common denominator = 26
10/13 = (10 × 2)/26 = 20/26
8/2 = (8 × 13)/26 = 104/26

Step 2: Add the fractions.
(20/26) + (104/26) = 124/26

Step 3: Convert the resulting fraction to a mixed number.
124/26 = 4 (with a remainder of 20)
4 + (20/26) = 4 + (20/26 × 1) = 4 + (20/26)

Therefore, the total number of gallons of water in the container is 4 + (20/26) gallons.

### Answer: 4 + (20/26)

Expected answer: 62/13

Correct? Yes

Problem: Mandy has 9/2 KGs of apples. She uses 1/4 KG of them to make apple pie. How many KGs of apples does she have left?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the total amount of apples Mandy had initially and the amount she used to make the apple pie.

Given information:
- Mandy has 9/2 KGs of apples.
- Mandy used 1/4 KG of apples to make apple pie.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
9/2 KGs = 9/2 × 4/4 = 18/4 KGs
1/4 KG = 1/4 KG

Step 2: Subtract the amount of apples used from the initial amount.
Initial amount of apples - Amount of apples used = Amount of apples left
18/4 KGs - 1/4 KG = (18/4 - 1/4) KGs
= 17/4 KGs

Therefore, Mandy has 17/4 KGs of apples left after making the apple pie.

### Answer: 17/4

Expected answer: 17/4

Correct? Yes

Problem: John spends 12/7 hours fixing a watch and then spends an additional 3/9 hours polishing it. How many hours in total did he spent working on the watch?

Claude-3 Sonnet:

To solve this problem, we need to add the time spent fixing the watch and the time spent polishing it.

Given information:
- John spent 12/7 hours fixing the watch.
- John spent an additional 3/9 hours polishing the watch.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
12/7 = (12 × 9/63) = 108/63
3/9 = 3/9

Step 2: Add the fractions.
(108/63) + (3/63) = 111/63

Step 3: Convert the resulting fraction to a mixed number or decimal form.
111/63 = 1 48/63 ≈ 1.76 hours

Therefore, John spent a total of 1.76 hours working on the watch.

### Answer: 1.76

Expected answer: 43/21

Correct? No

Problem: Peggy the Penguin was swimming and had traveled for 5/4 miles when she turned around to go back to her family. She swam back for 1/12 miles before deciding to rest. How many miles is Peggy from her family?

Claude-3 Sonnet:

To solve this problem, we need to find the total distance Peggy swam before resting and then subtract the distance she swam back from the initial distance she traveled.

Given information:
- Peggy swam 5/4 miles before turning around.
- Peggy swam back for 1/12 miles before resting.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
5/4 = 15/12 miles (before turning around)
1/12 miles (after turning around)

Step 2: Find the total distance Peggy swam before resting.
Total distance swam = Distance before turning around - Distance after turning around
Total distance swam = 15/12 - 1/12 = 14/12 miles

Step 3: Convert the total distance swam to a mixed fraction.
14/12 = 1 + 2/12 miles

Therefore, Peggy is 1 + 2/12 miles away from her family.

### Answer: 1 2/12

Expected answer: 7/6

Correct? Yes

Problem: A farmer has a fields where he grows wheat. One part of the field is 4 acres and another part is 11/12 of an acre. How many acres in total does he use to grow wheat?

Claude-3 Sonnet:

To solve this problem, we need to add the two parts of the field together.

Given information:
- One part of the field is 4 acres.
- Another part of the field is 11/12 of an acre.

Step 1: Convert the fraction 11/12 to a decimal.
11/12 = 0.9166... (rounded to 4 decimal places)

Step 2: Add the two parts of the field together.
Total area of the field = 4 acres + 0.9166 acres
Total area of the field = 4.9166 acres

Therefore, the farmer uses a total of 4.9166 acres to grow wheat.

### Answer: 4.9166

Expected answer: 59/12

Correct? No

Problem: If a dress designer used 11/4 yards of red fabric, and then added 5/17 yards of blue fabric, how many yards of fabric did she use in total?

Claude-3 Sonnet:

To solve this problem, we need to add the amounts of red and blue fabric used by the dress designer.

Given information:
- The dress designer used 11/4 yards of red fabric.
- The dress designer used 5/17 yards of blue fabric.

Step 1: Convert the mixed fraction 11/4 to an improper fraction.
11/4 = (11 × 4 + 4) / 4 = 44/4 = 11

Step 2: Add the amounts of red and blue fabric.
Total fabric used = Amount of red fabric + Amount of blue fabric
Total fabric used = 11 yards + 5/17 yards

Step 3: Convert the fractions to a common denominator.
Common denominator = 17 (least common multiple of 4 and 17)
11 yards = 11 × (17/4) = 187/17 yards

Total fabric used = 187/17 yards + 5/17 yards
Total fabric used = (187 + 5) / 17 yards
Total fabric used = 192/17 yards

Step 4: Convert the improper fraction to a mixed fraction.
192/17 = 11 + 3/17 yards

Therefore, the dress designer used a total of 11 3/17 yards of fabric.

### Answer: 11 3/17

Expected answer: 207/68

Correct? No

Problem: Jacob has 11/2 feet long guitar wire. If he uses 5/16 feet of it to fix a guitar, how much wire is remaining?

Claude-3 Sonnet:

To solve this problem, we need to convert the mixed fractions to improper fractions, perform the subtraction, and then convert the result back to a mixed fraction.

Given information:
- Jacob has 11/2 feet of guitar wire.
- He uses 5/16 feet of wire to fix a guitar.

Step 1: Convert the mixed fractions to improper fractions.
11/2 = (11 × 2 + 2) / 2 = 23/2
5/16 = 5/16

Step 2: Subtract the amount of wire used from the total wire.
23/2 - 5/16 = (23 × 8 - 5) / 16 = 179/16

Step 3: Convert the improper fraction to a mixed fraction.
179/16 = 11 + 3/16

Therefore, the amount of wire remaining is 11 3/16 feet.

### Answer: 11 3/16

Expected answer: 83/16

Correct? No

Problem: Samantha has a 4 fluid ounce tube of toothpaste. In one week, she uses 17/14 fluid ounces. How much toothpaste does she have left after that week?

Claude-3 Sonnet:

To solve this problem, we need to find the difference between the initial amount of toothpaste and the amount used in one week.

Given information:
- Samantha has a 4 fluid ounce tube of toothpaste.
- In one week, she uses 17/14 fluid ounces.

Step 1: Convert the fraction 17/14 to a decimal.
17/14 = 1.21428571... fluid ounces

Step 2: Subtract the amount used from the initial amount.
Initial amount of toothpaste - Amount used = Amount left
4 fluid ounces - 1.21428571... fluid ounces = 2.78571429... fluid ounces

Therefore, after one week, Samantha has approximately 2.79 fluid ounces of toothpaste left.

### Answer: 2.79

Expected answer: 39/14

Correct? No

Problem: Maria has 12 candies. She gives each of her 6 friends an equal amount of candies. Maria also has 20 stickers and she gives each of her 20 friends a sticker. How many candies and stickers does each friend get in total?

Claude-3 Sonnet:

To solve this problem, we need to find out how many candies each friend gets and how many stickers each friend gets, and then add them together.

Given information:
- Maria has 12 candies.
- Maria has 6 friends.
- Maria has 20 stickers.
- Maria has 20 friends.

Step 1: Find the number of candies each friend gets.
Number of candies each friend gets = Total candies / Number of friends
Number of candies each friend gets = 12 candies / 6 friends
Number of candies each friend gets = 2 candies

Step 2: Find the number of stickers each friend gets.
Number of stickers each friend gets = Total stickers / Number of friends
Number of stickers each friend gets = 20 stickers / 20 friends
Number of stickers each friend gets = 1 sticker

Step 3: Find the total number of candies and stickers each friend gets.
Total number of candies and stickers each friend gets = Number of candies each friend gets + Number of stickers each friend gets
Total number of candies and stickers each friend gets = 2 candies + 1 sticker
Total number of candies and stickers each friend gets = 3 candies and stickers

### Answer: 3

Expected answer: 3

Correct? Yes

Problem: During a rainy day, the first rainfall lasted for 4/13 hours, and the next rainfall was a little longer and lasted for 11/5 hours. How many hours did it rain in total?

Claude-3 Sonnet:

To solve this problem, we need to convert the fractions into decimal values and then add them together.

Given information:
- The first rainfall lasted for 4/13 hours.
- The second rainfall lasted for 11/5 hours.

Step 1: Convert the fractions to decimal values.
4/13 hours = 0.3076923... hours
11/5 hours = 2.2 hours

Step 2: Add the durations of the two rainfalls.
Total duration of rainfall = Duration of first rainfall + Duration of second rainfall
Total duration of rainfall = 0.3076923... hours + 2.2 hours
Total duration of rainfall = 2.5076923... hours

Therefore, it rained for a total of approximately 2.51 hours (rounded to two decimal places).

### Answer: 2.51

Expected answer: 163/65

Correct? No

Problem: Jane cuts 10/12 yards of fabric from a blanket. Then, she cuts an additional 10/10 yard. How many yards of fabric has she cut from the blanket in total?

Claude-3 Sonnet:

To solve this problem, we need to add the two fractions representing the lengths of fabric Jane cut from the blanket.

Given information:
- Jane cut 10/12 yards of fabric from the blanket.
- Jane cut an additional 10/10 yards of fabric from the blanket.

Step 1: Convert the fractions to have a common denominator.
10/12 = 5/6 (divide the numerator and denominator by 2)
10/10 = 1 (any number divided by itself is 1)

Step 2: Add the fractions.
5/6 + 1 = (5 + 6)/6 = 11/6

Step 3: Convert the improper fraction to a mixed number.
11/6 = 1 + 5/6

Therefore, Jane cut a total of 1 + 5/6 = 1 5/6 yards of fabric from the blanket.

### Answer: 1 5/6

Expected answer: 11/6

Correct? Yes

Problem: A fairy sprinkles 11/12 oz of magic dust over an enchanted field. She then sprinkles an additional 9/10 oz of dust over a grove of enchanted apple trees. What is the total amount of magic dust the fairy used?

Claude-3 Sonnet:

To solve this problem, we need to add the amounts of magic dust sprinkled over the enchanted field and the grove of enchanted apple trees.

Given information:
- The fairy sprinkled 11/12 oz of magic dust over an enchanted field.
- The fairy sprinkled an additional 9/10 oz of magic dust over a grove of enchanted apple trees.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
11/12 oz = 55/60 oz (multiplying the numerator and denominator by 5)
9/10 oz = 54/60 oz (multiplying the numerator and denominator by 6)

Step 2: Add the amounts of magic dust.
Total amount of magic dust = 55/60 oz + 54/60 oz
                            = 109/60 oz

Step 3: Convert the fraction to a mixed number (if necessary).
109/60 oz = 1 49/60 oz

Therefore, the total amount of magic dust the fairy used is 1 49/60 oz.

### Answer: 1 49/60 oz

Expected answer: 109/60

Correct? Yes

Problem: A word game assigns 3/11 of a point for each vowel used and 8/10 of a point for each consonant. If you use 1 vowel and 1 consonant, what will your score be?

Claude-3 Sonnet:

To solve this problem, we need to find the points awarded for using one vowel and one consonant, and then add them together.

Given information:
- 3/11 of a point is awarded for each vowel used.
- 8/10 of a point is awarded for each consonant used.
- We are using 1 vowel and 1 consonant.

Step 1: Find the points awarded for using 1 vowel.
Points for 1 vowel = 3/11 points

Step 2: Find the points awarded for using 1 consonant.
Points for 1 consonant = 8/10 points

Step 3: Find the total score by adding the points for the vowel and the consonant.
Total score = Points for 1 vowel + Points for 1 consonant
Total score = 3/11 + 8/10
Total score = (3/11) + (88/110)
Total score = (33 + 88) / 110
Total score = 121 / 110

### Answer: 1.1

Expected answer: 59/55

Correct? No

Problem: You are writing a letter that is 4/1 pages long. You remove 14/9 pages from it. How many pages is the letter now?

Claude-3 Sonnet:

To solve this problem, we need to convert the fractions to have a common denominator and then perform the subtraction.

Given information:
- The letter is 4/1 pages long, which is equivalent to 4 pages.
- 14/9 pages are removed from the letter.

Step 1: Convert 14/9 to an improper fraction.
14/9 = (14 ÷ 9) + (14 % 9)/9
14/9 = 1 + 5/9

Step 2: Convert the mixed fraction to an improper fraction.
1 + 5/9 = (1 × 9 + 5)/9
1 + 5/9 = 14/9

Step 3: Subtract 14/9 from 4 pages.
4 - 14/9 = (4 × 9 - 14)/9
4 - 14/9 = 22/9

Step 4: Convert the improper fraction to a mixed fraction.
22/9 = (22 ÷ 9) + (22 % 9)/9
22/9 = 2 + 4/9

Therefore, after removing 14/9 pages from the 4-page letter, the letter is now 2 4/9 pages long.

### Answer: 2 4/9

Expected answer: 22/9

Correct? Yes

Problem: Anne painted 16/20 of a table, and then Bob painted an additional 5/20 of the table. How much of the table has been painted in total?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the fractions representing the portions of the table painted by Anne and Bob.

Given information:
- Anne painted 16/20 of the table.
- Bob painted an additional 5/20 of the table.

Step 1: Find the sum of the fractions.
Anne's portion + Bob's portion = Total portion painted
16/20 + 5/20 = 21/20

Step 2: Simplify the fraction if possible.
21/20 = 1 + 1/20 = 1 1/20

Therefore, the total portion of the table that has been painted is 1 1/20.

### Answer: 1 1/20

Expected answer: 21/20

Correct? Yes

Problem: The star Alpha shines 17/3 times brighter than an average star, while the star Bravo shines 20/16 times as bright. How much brighter are both stars compared to an average star if you add up the relative brightness of these two stars?

Claude-3 Sonnet:

To solve this problem, we need to find the relative brightness of each star compared to an average star, and then add them together.

Given information:
- Alpha shines 17/3 times brighter than an average star.
- Bravo shines 20/16 times as bright as an average star.

Step 1: Find the relative brightness of Alpha compared to an average star.
Relative brightness of Alpha = 17/3

Step 2: Find the relative brightness of Bravo compared to an average star.
Relative brightness of Bravo = 20/16 = 5/4

Step 3: Add the relative brightness of Alpha and Bravo.
Total relative brightness = Relative brightness of Alpha + Relative brightness of Bravo
Total relative brightness = 17/3 + 5/4
Total relative brightness = (17/3 + 15/4) = (51/12 + 15/12) = 66/12
Total relative brightness = 5.5

Therefore, Alpha and Bravo together shine 5.5 times brighter than an average star.

### Answer: 5.5

Expected answer: 83/12

Correct? No

Problem: There are 17/20 kg of red apples and 18/8 kg of green apples in a grocery store. How many kilograms of apples are in the store in total?

Claude-3 Sonnet:

To solve this problem, we need to find the total weight of red apples and green apples separately, and then add them together.

Given information:
- There are 17/20 kg of red apples.
- There are 18/8 kg of green apples.

Step 1: Convert the fractions to decimals.
17/20 kg of red apples = 0.85 kg of red apples
18/8 kg of green apples = 2.25 kg of green apples

Step 2: Find the total weight of apples by adding the weights of red apples and green apples.
Total weight of apples = Weight of red apples + Weight of green apples
Total weight of apples = 0.85 kg + 2.25 kg
Total weight of apples = 3.1 kg

Therefore, there are 3.1 kg of apples in the store in total.

### Answer: 3.1

Expected answer: 31/10

Correct? Yes

Problem: If a bus drives 12/20 of a mile then goes an additional 12/12 of a mile, how many miles did the bus travel in total?

Claude-3 Sonnet:

To solve this problem, we need to convert the fractions to decimals and then add them together.

Given information:
- The bus drives 12/20 of a mile.
- The bus then goes an additional 12/12 of a mile.

Step 1: Convert the fractions to decimals.
12/20 = 0.6 miles
12/12 = 1 mile

Step 2: Add the distances together.
Total distance traveled = 0.6 miles + 1 mile
Total distance traveled = 1.6 miles

Therefore, the bus traveled a total of 1.6 miles.

### Answer: 1.6

Expected answer: 8/5

Correct? Yes

Problem: In the first hour, a shark swims 3/9 miles and in the second hour height increases its speed to swim 13/5 miles. How many miles does the shark swim in total in these two hours?

Claude-3 Sonnet:

To solve this problem, we need to find the total distance the shark swam in the two hours by adding the distances it swam in each hour.

Given information:
- In the first hour, the shark swam 3/9 miles.
- In the second hour, the shark swam 13/5 miles.

Step 1: Convert the fractions to decimals for easier calculation.
3/9 miles = 0.33 miles (in the first hour)
13/5 miles = 2.6 miles (in the second hour)

Step 2: Add the distances swam in the two hours.
Total distance swam = Distance swam in the first hour + Distance swam in the second hour
Total distance swam = 0.33 miles + 2.6 miles
Total distance swam = 2.93 miles

Therefore, the shark swam a total of 2.93 miles in these two hours.

### Answer: 2.93

Expected answer: 44/15

Correct? No

Problem: A drummer hits a rhythm where they hit once every 17/17 seconds for the first beat and then 2/12 seconds for the second beat. How long does it take for the drummer to hit the two beats together?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the time intervals for the two beats.

Given information:
- The first beat is hit every 17/17 seconds (which is equivalent to 1 second).
- The second beat is hit every 2/12 seconds.

Step 1: Convert the fractions to decimals.
17/17 seconds = 1 second
2/12 seconds = 2/12 = 0.1666... seconds (approximately)

Step 2: Add the time intervals for the two beats.
Time taken for the two beats = Time for the first beat + Time for the second beat
Time taken for the two beats = 1 second + 0.1666... seconds
Time taken for the two beats = 1.1666... seconds (approximately)

Therefore, it takes approximately 1.1666 seconds for the drummer to hit the two beats together.

### Answer: 1.1666

Expected answer: 7/6

Correct? No

Problem: If a fireplace burns 12/17 cord of wood in the morning and 8/19 cord in the evening, what is the total cord of wood it burns in a day?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the cords of wood burned in the morning and evening.

Given information:
- The fireplace burns 12/17 cord of wood in the morning.
- The fireplace burns 8/19 cord of wood in the evening.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
Common denominator = 17 × 19 = 323

12/17 = (12 × 19)/323 = 228/323
8/19 = (8 × 17)/323 = 136/323

Step 2: Add the fractions.
228/323 + 136/323 = 364/323

Step 3: Simplify the fraction (if possible).
364/323 = 1 11/323 cords of wood

Therefore, the total cord of wood the fireplace burns in a day is 1 11/323 cords.

### Answer: 1 11/323

Expected answer: 364/323

Correct? No

Problem: A butterfly's flight consisted of two segments. The first segment was 18/19 of a mile and the second was 9/17 of a mile. How long was the entire flight?

Claude-3 Sonnet:

To solve this problem, we need to add the lengths of the two segments of the butterfly's flight.

Given information:
- The first segment of the flight was 18/19 of a mile.
- The second segment of the flight was 9/17 of a mile.

Step 1: Find the common denominator for the fractions.
The least common multiple (LCM) of 19 and 17 is 323.

Step 2: Convert the fractions to equivalent fractions with the common denominator.
18/19 = (18 × 17)/323 = 306/323
9/17 = (9 × 19)/323 = 171/323

Step 3: Add the fractions.
306/323 + 171/323 = 477/323

Step 4: Simplify the fraction if possible.
477/323 = 1 154/323 (1 and 154/323)

Therefore, the entire flight of the butterfly was 1 154/323 miles.

### Answer: 1 154/323

Expected answer: 477/323

Correct? Yes

Problem: While measuring a map, Jenna finds that the distance between two cities is 13/10 inches, and the distance from the second city to the third city is 14/15 inches. What is the total distance Jenna measured between the three cities on the map?

Claude-3 Sonnet:

To solve this problem, we need to add the distances between the two pairs of cities.

Given information:
- The distance between the first and second cities is 13/10 inches.
- The distance between the second and third cities is 14/15 inches.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
13/10 = 39/30 inches
14/15 = 28/30 inches

Step 2: Add the distances.
Distance between the first and second cities + Distance between the second and third cities
= 39/30 inches + 28/30 inches
= 67/30 inches

Step 3: Simplify the fraction if possible.
67/30 = 2 21/30 inches

Therefore, the total distance Jenna measured between the three cities on the map is 2 21/30 inches.

### Answer: 2 21/30

Expected answer: 67/30

Correct? No

Problem: A helium balloon rises at a rate of 13/6 feet per second. After a gust of wind, its speed increases by 3/16 feet per second. What is the new speed of the balloon in feet per second?

Claude-3 Sonnet:

To solve this problem, we need to find the sum of the original speed and the increase in speed due to the gust of wind.

Given information:
- The original speed of the helium balloon is 13/6 feet per second.
- The speed increases by 3/16 feet per second after a gust of wind.

Step 1: Convert the fractions to equivalent fractions with a common denominator.
13/6 = 39/18 feet per second (original speed)
3/16 = 9/48 feet per second (increase in speed)

Step 2: Add the original speed and the increase in speed.
Original speed + Increase in speed = New speed
39/18 + 9/48 = (39 × 48/18 × 48) + (9 × 18/48 × 18)
                = 1872/864 + 162/864
                = 2034/864 feet per second

Step 3: Simplify the fraction if possible.
2034/864 = 2.3541666... feet per second

Therefore, the new speed of the helium balloon after the gust of wind is approximately 2.35 feet per second.

### Answer: 2.35

Expected answer: 113/48

Correct? No

Problem: Scarlett has 16/10 gallons of red paint. If she uses 1/20 of a gallon for a small art project, how many gallons of red paint will she have left?

Claude-3 Sonnet:

To solve this problem, we need to convert the fractions to a common denominator and then perform the subtraction.

Given information:
- Scarlett has 16/10 gallons of red paint.
- She uses 1/20 of a gallon for a small art project.

Step 1: Convert the fractions to a common denominator.
16/10 = 32/20 (multiplying the numerator and denominator by 2)
1/20 remains the same

Step 2: Subtract the amount of paint used from the initial amount.
32/20 - 1/20 = 31/20 gallons of red paint left

Step 3: Convert the fraction to a mixed number (if applicable).
31/20 = 1 31/20 gallons of red paint left

### Answer: 1 31/20 gallons

Expected answer: 31/20

Correct? No

Problem: Susie has a box of 12 chocolate bars. She decides to eat 2/5 of a chocolate bar herself. How many chocolate bars are left in the box?

Claude-3 Sonnet:

To solve this problem, we need to find out how many chocolate bars Susie ate and then subtract it from the total number of chocolate bars in the box.

Given information:
- Susie has a box of 12 chocolate bars.
- Susie ate 2/5 of a chocolate bar.

Step 1: Convert the fraction 2/5 to a decimal.
2/5 = 0.4

Step 2: Since Susie ate 0.4 of a chocolate bar, we need to subtract 0.4 from the total number of chocolate bars.
Number of chocolate bars left = Total chocolate bars - Chocolate bars eaten
Number of chocolate bars left = 12 - 0.4
Number of chocolate bars left = 11.6

Since we cannot have a fractional part of a chocolate bar, we need to round down to the nearest whole number.

Therefore, the number of chocolate bars left in the box is 11.

### Answer: 11

Expected answer: 58/5

Correct? Yes

Problem: A plane is flying at an altitude of 2 miles, then it descends by 10/15 of a mile. What is the new altitude of the plane?

Claude-3 Sonnet:

To solve this problem, we need to find the distance the plane descended and subtract it from the initial altitude.

Given information:
- The initial altitude of the plane is 2 miles.
- The plane descends by 10/15 of a mile.

Step 1: Convert the fraction 10/15 to a decimal.
10/15 = 0.6666... ≈ 0.67 miles

Step 2: Subtract the distance descended from the initial altitude.
Initial altitude - Distance descended = New altitude
2 miles - 0.67 miles = 1.33 miles

Therefore, the new altitude of the plane is 1.33 miles.

### Answer: 1.33

Expected answer: 4/3

Correct? No

Problem: A child goes down a slide that's 6/19 meters long, and then goes down another slide that's 17/4 meters long. How many total meters did they slide?

Claude-3 Sonnet:

To solve this problem, we need to convert the fractions to decimals and then add them together.

Given information:
- The first slide is 6/19 meters long.
- The second slide is 17/4 meters long.

Step 1: Convert the fractions to decimals.
6/19 = 0.315789... meters (rounded to 0.32 meters)
17/4 = 4.25 meters

Step 2: Add the lengths of the two slides.
Total distance slid = Length of the first slide + Length of the second slide
Total distance slid = 0.32 meters + 4.25 meters
Total distance slid = 4.57 meters

Therefore, the child slid a total of 4.57 meters.

### Answer: 4.57

Expected answer: 347/76

Correct? No

Problem: A colonial fireplace burns firewood at a rate of 4/15 cords per hour in the early morning. In the late night, the rate increases to 14/15 cords per hour. How much firewood does the fireplace burn in total in one hour split between the early morning and late night?

Claude-3 Sonnet:

To solve this problem, we need to find the amount of firewood burned in the early morning and late night separately, and then add them together.

Given information:
- In the early morning, the fireplace burns firewood at a rate of 4/15 cords per hour.
- In the late night, the fireplace burns firewood at a rate of 14/15 cords per hour.
- We want to find the total amount of firewood burned in one hour, split between the early morning and late night.

Let's assume that the early morning lasts for x hours, and the late night lasts for (1 - x) hours.

Amount of firewood burned in the early morning = (4/15) × x cords
Amount of firewood burned in the late night = (14/15) × (1 - x) cords

Total amount of firewood burned = Amount of firewood burned in the early morning + Amount of firewood burned in the late night
Total amount of firewood burned = (4/15) × x + (14/15) × (1 - x) cords

To find the total amount of firewood burned in one hour, we need to substitute x = 1/2 (assuming the early morning and late night are split equally).

Total amount of firewood burned = (4/15) × (1/2) + (14/15) × (1/2)
Total amount of firewood burned = 2/15 + 7/15
Total amount of firewood burned = 9/15 cords

### Answer: 9/15

Expected answer: 6/5

Correct? No

Problem: An alien travelled 9/20 of a light year towards earth then decided to move forward another 11/7 light years. How many light years has the alien travelled in total?

Claude-3 Sonnet:

To solve this problem, we need to convert the fractions to decimals and then add them together.

Given information:
- The alien traveled 9/20 of a light year towards Earth.
- The alien then traveled an additional 11/7 light years.

Step 1: Convert 9/20 to a decimal.
9/20 = 0.45 light years

Step 2: Convert 11/7 to a decimal.
11/7 = 1.57142857... light years (rounded to 1.57 light years)

Step 3: Add the two distances together.
Total distance traveled = 0.45 light years + 1.57 light years
Total distance traveled = 2.02 light years

Therefore, the alien has traveled a total of 2.02 light years.

### Answer: 2.02

Expected answer: 283/140

Correct? No

Problem: If Bob has 10/2 of a cucumber and he adds it to 1/7 of another cucumber, how many cucumbers does he have in total?

Claude-3 Sonnet:

To solve this problem, we need to find a common denominator for the fractions and then add them together.

Given information:
- Bob has 10/2 of a cucumber.
- Bob adds 1/7 of another cucumber.

Step 1: Find the least common denominator (LCD) of 2 and 7.
LCD = 14

Step 2: Convert the fractions to equivalent fractions with the LCD as the denominator.
10/2 = (10/2) × (7/7) = 35/14
1/7 = (1/7) × (2/2) = 2/14

Step 3: Add the fractions.
35/14 + 2/14 = 37/14

Step 4: Simplify the fraction if possible.
37/14 = 2 + (9/14)

Therefore, Bob has 2 whole cucumbers and 9/14 of another cucumber.

### Answer: 2 9/14

Expected answer: 36/7

Correct? No