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 Haiku:

Okay, let's break this down step-by-step:
1) Kyle threw the ball for a distance of 18/4 yards.
2) To calculate this, we divide 18 by 4 to get 4.5 yards.
3) Lisa threw the same ball for a distance of 19/9 yards.
4) To calculate this, we divide 19 by 9 to get 2.11 yards.
5) To find the total distance the ball traveled, we add the distances from both Kyle and Lisa:
4.5 yards + 2.11 yards = 6.61 yards.

### Answer: 6.61 yards.

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 Haiku:

Okay, let's break this down step-by-step:
1) In the morning, Johnnie was given 18/7 bananas.
2) In the afternoon, Johnnie was given 12/14 bananas.
3) To find the total number of bananas, we need to add the two amounts together.

To add fractions, we need to find a common denominator. The least common denominator of 7 and 14 is 14.

So, 18/7 = 36/14 and 12/14 = 12/14.

Now we can add the fractions:
36/14 + 12/14 = 48/14

Simplifying the fraction, we get:
48/14 = 24/7

### 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 Haiku:

Okay, let's break this down step-by-step:
1) The bottom of the door measures 4/19 inches from the floor.
2) The top of the door measures 9/10 inches from the ceiling.
3) To find the total distance of the bottom and top of the door from the floor and ceiling, respectively, we need to add these two measurements together.
4) 4/19 inches + 9/10 inches = (4/19 + 9/10) inches.
5) To add these fractions, we need to find a common denominator. The least common denominator of 19 and 10 is 190.
6) 4/19 = 40/190 and 9/10 = 171/190.
7) 40/190 + 171/190 = 211/190.
8) Simplifying, 211/190 = 1.1105 inches.

### Answer: 1.1105 inches.

Expected answer: 211/190

Correct? No

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 Haiku:

Okay, let's break this down step-by-step:
1) The recipe requires 17/3 liters of apple juice.
2) Ralph uses 15/11 liters of apple juice.
3) To find the amount of apple juice left unused, we need to subtract the amount used from the amount required.

First, let's convert the fractions to decimal form:
17/3 = 5.67 liters
15/11 = 1.36 liters

Now, we can subtract the amount used from the amount required:
5.67 liters - 1.36 liters = 4.31 liters

### Answer: 4.31 liters

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 Haiku:

Okay, let's break this down step-by-step:
1) Billy initially travels 4 miles.
2) He then rolls back 17/20 of a mile after spotting a pothole.
3) To find the distance he ultimately traveled forward, we need to subtract the distance he rolled back from the initial distance he traveled.
4) 4 miles - 17/20 miles = 4 - 0.85 = 3.15 miles.

### Answer: 3.15 miles.

Expected answer: 63/20

Correct? No

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 Haiku:

Okay, let's break this down step-by-step:
* On the first day, the rocket traveled 15/3 light years
* To calculate this, we divide 15 by 3, which gives us 5 light years
* On the second day, the rocket traveled an additional 2/7 light years
* To calculate this, we divide 2 by 7, which gives us 2/7 light years
* To find the total distance traveled, we add the distances from the first and second days:
* 5 light years + 2/7 light years = 5 + 2/7 light years

### Answer: 5 + 2/7 light years

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 Haiku:

Okay, let's break this down step-by-step:
1) Captain Silverbeard found 10/13 of the treasure map at one site.
2) He then found 16/19 of the same treasure map at another site.
3) To find the total portion of the treasure map that he found, we need to add the two fractions together.

To add fractions, we need to find a common denominator. The least common denominator of 13 and 19 is 247.

So, 10/13 = 190/247 and 16/19 = 211/247.

Now we can add the fractions:
190/247 + 211/247 = 401/247

Therefore, the total portion of the treasure map that Captain Silverbeard found is 401/247.

### Answer: 401/247

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 Haiku:

Okay, let's break this down step-by-step:
1) The hiker walks 9/6 miles North.
2) The hiker then walks 2/16 miles East.
3) To find the total distance traveled, we need to add the two distances together.

To add the distances, we need to convert them to the same unit. Let's convert both to miles.

9/6 miles = 1.5 miles (North)
2/16 miles = 0.125 miles (East)

Now we can add the distances:
1.5 miles + 0.125 miles = 1.625 miles

### Answer: 1.625 miles

Expected answer: 13/8

Correct? No

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 Haiku:

Okay, let's break this down step-by-step:
1) Jessica has a pile of sand that is 16/9 cubic feet.
2) She then removes 4/13 cubic feet of sand from the sandbox.
3) To find the amount of sand left, we need to subtract the amount removed from the original amount.
4) 16/9 - 4/13 = (16*13 - 4*9) / (9*13) = (208 - 36) / 117 = 172 / 117 = <<172/117>> cubic feet.

### Answer: 172/117 cubic feet.

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 Haiku:

Okay, let's solve this step-by-step:
1) Jacob has a piece of rope that is 15/12 meters long.
2) He adds a piece that is 17/17 meters long.
3) To find the total length, we need to add the two pieces together.
4) To add fractions, we need to find a common denominator. The least common denominator of 12 and 17 is 204.
5) 15/12 = 125/204 and 17/17 = 204/204.
6) 125/204 + 204/204 = 329/204.
7) Simplifying the fraction, we get 329/204 = 1 125/204 meters.

### Answer: 1 125/204 meters.

Expected answer: 9/4

Correct? No

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 Haiku:

Okay, let's break this down step-by-step:
* Mark has 1 full pair of pants
* He also has 13/4 pairs from various incomplete sets

To find the total number of pairs of pants, we need to add the full pair and the incomplete pairs.

The 13/4 pairs can be converted to a mixed number:
* 13/4 = 3 and 1/4

So, Mark has:
* 1 full pair
* 3 and 1/4 pairs from incomplete sets

To find the total, we add the full pair and the incomplete pairs:
* 1 + 3 and 1/4 = 4 and 1/4 pairs

### Answer: 4 and 1/4 pairs

Expected answer: 17/4

Correct? Yes

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 Haiku:

Okay, let's break this down step-by-step:
* Miss Jenny spent 8/8 hours on one subject
* 8/8 hours = 1 hour
* She then spent an additional 20/19 hours on another subject
* To convert 20/19 hours to a decimal, we divide 20 by 19:
* 20/19 = 1.0526 hours
* So the total time Miss Jenny spent grading papers is:
* 1 hour + 1.0526 hours = 2.0526 hours

### Answer: 2.0526 hours

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 Haiku:

Okay, let's break this down step-by-step:
1) The initial height of the cloud was 12/3 kms.
2) The cloud then ascended by 15/12 kms.
3) To find the resultant height, we need to add the initial height and the ascent height.
4) 12/3 kms + 15/12 kms = (12/3) + (15/12) = 4 + 1.25 = 5.25 kms.

### Answer: 5.25 kms.

Expected answer: 21/4

Correct? No

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 Haiku:

Okay, let's break this down step-by-step:
1) Jack rides 3/9 of a mile to the library.
2) After leaving the library, he rides 17/15 of a mile to his grandparents' house.
3) To find the total distance, we add the two distances together:
3/9 + 17/15 = (3/9) + (17/15) = (3*15 + 17*9) / (9*15)
= (45 + 153) / 135 = 198 / 135 = 22/15 miles

### Answer: 22/15 miles

Expected answer: 22/15

Correct? Yes

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 Haiku:

Okay, let's break this down step-by-step:
* There are 4 logs in the pile
* Each log burns for 1/16 of an hour
* So the total burn time for the 4 logs is:
  - 4 logs x 1/16 hour per log = 4/16 = 1/4 hour
* Tom then brings 16 twigs
* Each twig burns for 1/12 of an hour
* So the total burn time for the 16 twigs is:
  - 16 twigs x 1/12 hour per twig = 16/12 = 4/3 hour
* To find the total burn time, we add the burn time for the logs and the twigs:
  - 1/4 hour + 4/3 hour = 1/4 + 4/3 = 7/12 hour

### Answer: 7/12 hour

Expected answer: 19/12

Correct? No

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 Haiku:

Okay, let's break this down step-by-step:
1) The ring maker used 12/16 ounces of silver for the base of the ring.
2) The ring maker used 16/2 ounces of silver to make the rest of the ring.
3) To find the total ounces of silver used, we need to add these two amounts together.

First, let's convert the fractions to have a common denominator:
12/16 = 3/4 ounces
16/2 = 8 ounces

Now we can add them together:
3/4 + 8 = 8.75 ounces

### Answer: 8.75 ounces

Expected answer: 35/4

Correct? No

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 Haiku:

Okay, let's break this down step-by-step:
* In the morning, the apple tree produced 10/11 bushels of apples
* In the afternoon, the apple tree produced 17/11 bushels of apples
* To find the total bushels of apples produced, we add the morning and afternoon amounts:
* 10/11 bushels + 17/11 bushels = 27/11 bushels

### Answer: 27/11 bushels

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 Haiku:

Okay, let's break this down step-by-step:

1. Sam's binoculars increase his range of sight by 3/14 of a mile.

2. Joe's binoculars increase his range of sight by exactly 1 mile (16/16).

3. To find their combined range increase, we need to add the two increases together.

Sam's range increase: 3/14 mile
Joe's range increase: 1 mile

Combined range increase = Sam's increase + Joe's increase
                    = 3/14 mile + 1 mile
                    = (3/14) + (16/16) mile
                    = (3 + 16)/14 mile
                    = 19/14 mile

### Answer: 19/14 mile

Expected answer: 17/14

Correct? No

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 Haiku:

Okay, let's break this down step-by-step:
1) Maria uses 15/10 yards of fabric for one section of the blanket.
2) Maria uses 9/18 more yards for another section.
3) To find the total length of fabric used, we need to add the two amounts together.

First, let's convert the fractions to have a common denominator:
15/10 = 27/18
9/18 = 9/18

Now we can add the two amounts:
27/18 + 9/18 = 36/18

To simplify the final answer, we can reduce the fraction:
36/18 = 2

### Answer: 2 yards

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 Haiku:

Okay, let's break this down step-by-step:
1) The turtle walks 10/5 miles forward.
   * 10/5 = 2 miles forward.
2) The turtle then walks 5/16 miles backward.
   * 5/16 = 0.3125 miles backward.
3) To calculate the total distance covered from the starting point, we add the forward distance and subtract the backward distance:
   * 2 miles forward - 0.3125 miles backward = 1.6875 miles.

### Answer: 1.6875 miles

Expected answer: 27/16

Correct? No

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 Haiku:

Okay, let's break this down step-by-step:
1) The painter used 18/11 liters of blue paint.
2) The painter used 1/8 liters of white paint.
3) To find the total amount of paint used, we add the blue and white paint together:
18/11 liters + 1/8 liters = (18/11) + (1/8) liters

To add these fractions, we need to find a common denominator. The least common denominator of 11 and 8 is 88.

18/11 = 144/88
1/8 = 11/88

144/88 + 11/88 = 155/88 liters

### Answer: 155/88 liters

Expected answer: 155/88

Correct? Yes

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 Haiku:

Okay, let's break this down step-by-step:
* The computer program executed 8 tasks in 4 minutes
* That means it executed 8/4 = 2 tasks per minute for the first 4 minutes
* Then it executed 20 tasks in 14 minutes
* That means it executed 20/14 = 1.43 tasks per minute for the next 14 minutes
* To find the total number of tasks executed per minute, we need to add the tasks per minute for the two time periods:
* 2 tasks/minute + 1.43 tasks/minute = 3.43 tasks/minute

### Answer: 3.43 tasks per minute

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 Haiku:

Okay, let's break this down step-by-step:
* One pot contains 12/13 of a pound of gold coins
* Another pot contains 3/2 pounds of gold coins

To find the total amount of gold, we need to add the amounts from the two pots.

First, let's convert the fractions to a common denominator:
* 12/13 pounds = (12 * 2)/(13 * 2) = 24/26 pounds
* 3/2 pounds = (3 * 13)/(2 * 13) = 39/26 pounds

Now we can add the amounts:
* 24/26 pounds + 39/26 pounds = 63/26 pounds

Simplifying the fraction, we get:
* 63/26 pounds = 2 11/26 pounds

### Answer: 2 11/26 pounds

Expected answer: 63/26

Correct? Yes

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 Haiku:

Okay, let's break this down step-by-step:
* The first part of the message is 4/4 hours long
* The second part of the message is 11/1 hour long

To find the total length of the message, we need to add the lengths of the two parts together.

For the first part:
* 4/4 hours = 1 hour

For the second part:
* 11/1 hour = 11 hours

Now, we add the two parts together:
* 1 hour + 11 hours = 12 hours

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

### Answer: 12 hours

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 Haiku:

Okay, let's break this down step-by-step:

1. In the park, there are 10 ducks that are equally distributed among 5 ponds.
   * Each pond has 10 / 5 = 2 ducks.

2. In the same park, there are 8 fish that are distributed among 10 small pools.
   * Each pool has 8 / 10 = 0.8 fish.

3. To find the total number of animals in each pond and pool combined, we add the number of ducks and fish:
   * Each pond has 2 ducks
   * Each pool has 0.8 fish
   * Total animals per pond/pool = 2 ducks + 0.8 fish = 2.8 animals

### Answer: 2.8 animals

Expected answer: 14/5

Correct? No

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 Haiku:

Okay, let's break this down step-by-step:
1) The distance between Town A and Town B on the map is 15/11 inches.
2) The distance between Town B and Town C on the map is 16/15 inches.
3) To find the total distance between Town A and Town C, we need to add the distances between A-B and B-C.
4) To add the fractions, we need to find a common denominator. The least common denominator is 165.
5) 15/11 = 135/165
6) 16/15 = 132/165
7) The total distance between Town A and Town C is 135/165 + 132/165 = 267/165.

### Answer: 267/165

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 Haiku:

Okay, let's break this down step-by-step:
1) The soap company produces 13/18 tons of Soap A per day.
2) The soap company produces 4/6 tons of Soap B per day.
3) To find the total tons of soap produced per day, we need to add the amounts of Soap A and Soap B.

To add the fractions, we need to find a common denominator. The least common denominator of 18 and 6 is 18.

So, 13/18 tons of Soap A + 4/6 tons of Soap B
= 13/18 + 4/6 (converting 4/6 to 12/18)
= 13/18 + 12/18
= 25/18 tons of soap produced per day.

### Answer: 25/18 tons

Expected answer: 25/18

Correct? Yes

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 Haiku:

Okay, let's break this down step-by-step:
1) The original length of the sleeping bag was 19/2 feet.
2) Mark decides to cut off 13/12 feet from it.
3) To find the new length, we need to subtract 13/12 feet from 19/2 feet.

To subtract the fractions, we need to find a common denominator. The least common denominator of 2 and 12 is 12.

19/2 = 19*6/12 = 114/12
13/12

Subtracting the fractions:
114/12 - 13/12 = 101/12

Therefore, the new length of the sleeping bag is 101/12 feet.

### Answer: 101/12 feet.

Expected answer: 101/12

Correct? Yes

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 Haiku:

Okay, let's break this down step-by-step:
1) Mary feeds 6/20 pounds of food to the monkeys.
2) To find the total pounds of food for the monkeys, we need to convert the fraction to a decimal:
6/20 = 0.3 pounds of food for the monkeys.

3) Mary feeds 18/15 pounds of food to the giraffes.
4) To find the total pounds of food for the giraffes, we need to convert the fraction to a decimal:
18/15 = 1.2 pounds of food for the giraffes.

5) To find the total pounds of food given to both the monkeys and giraffes, we add the amounts:
0.3 pounds + 1.2 pounds = 1.5 pounds of food in total.

### Answer: 1.5 pounds

Expected answer: 3/2

Correct? No

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 Haiku:

Okay, let's break this down step-by-step:
1) Albert starts with 20/17 full sets of cards.
2) A full set of cards has 4/1 cards.
3) He then collects another full set of 4/1 cards.

To find the total number of full sets of cards he has now, we need to add the original 20/17 full sets to the 1 additional full set he collected.

20/17 + 1 = 21/17 full sets of cards.

### Answer: 21/17

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 Haiku:

Okay, let's break this down step-by-step:
1) The jeweler initially has 5/14 pound of silver.
2) The jeweler then adds 18/19 pounds more to the supply.
3) To find the total amount of silver the jeweler has now, we need to add the two amounts together.

To add fractions with different denominators, we need to find the least common denominator (LCD). The LCD of 14 and 19 is 266.

5/14 = 95/266
18/19 = 237/266

Now we can add the two fractions:
95/266 + 237/266 = 332/266

To simplify this, we can divide the numerator and denominator by their greatest common factor, which is 2.
332/266 = 166/133

Therefore, the jeweler now has 166/133 pounds of silver to make rings.

### Answer: 166/133 pounds

Expected answer: 347/266

Correct? No

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 Haiku:

Okay, let's break this down step-by-step:
1) The turtle starts at a point.
2) It then moves 11 meters northward.
3) Next, it moves 15/15 of a meter back towards the starting point.

To calculate the final distance from the starting point, we need to consider the two movements:
* The turtle moved 11 meters northward.
* It then moved 15/15 = 1 meter back towards the starting point.

So, the final distance from the starting point is:
* 11 meters - 1 meter = 10 meters

### Answer: 10 meters

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 Haiku:

Okay, let's break this down step-by-step:
1) Chloe has a chocolate bar that is 19/2 ounces.
2) She eats a piece that is 17/2 ounces.
3) To find how many ounces of chocolate she has left, we need to subtract the amount she ate from the original amount.
4) 19/2 ounces - 17/2 ounces = 2/2 ounces = 1 ounce.

### Answer: 1 ounce.

Expected answer: 1

Correct? Yes

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 Haiku:

Okay, let's break this down step-by-step:
1) Sammy's backpack has a capacity of 20/9 liters.
2) He adds another pouch that can hold 8/4 more liters.
To find the total capacity of the backpack:
* Original capacity: 20/9 liters
* Additional capacity from the new pouch: 8/4 liters
* Total capacity = Original capacity + Additional capacity
* Total capacity = (20/9) + (8/4)
* Total capacity = (20/9) + (2) 
* Total capacity = (20 + 18)/9
* Total capacity = 38/9 liters

### Answer: 38/9 liters

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 Haiku:

Okay, let's solve this step-by-step:
1) Captain Hook initially has 11/8 ounces of gold.
2) He finds an additional 5/5 ounces of gold.
3) To find the total weight of the gold, we need to add the two amounts together.
4) To add fractions, we need to find a common denominator. The least common denominator of 8 and 5 is 40.
5) 11/8 = 55/40 and 5/5 = 8/40.
6) 55/40 + 8/40 = 63/40.

### Answer: 63/40 ounces of gold.

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 Haiku:

Okay, let's break this down step-by-step:
1) Jake originally had 9/10 of a dollar.
2) He then received an additional 20/15 of a dollar.
To find the total amount of money Jake has now, we need to add the two amounts together.

9/10 of a dollar = 0.9 dollars
20/15 of a dollar = 1.33 dollars

Now, we add the two amounts together:
0.9 dollars + 1.33 dollars = 2.23 dollars

### Answer: 2.23 dollars

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 Haiku:

Okay, let's break this down step-by-step:

1. The front half of the chair measures 5/2 feet high.
2. The back portion of the chair measures 20/14 feet high.

To find the combined height of the front and back portions, we need to add the two heights together.

First, let's convert the measurements to the same unit:
* Front half: 5/2 feet = 2.5 feet
* Back portion: 20/14 feet = 1.43 feet

Now, we can add the two heights together:
* Combined height = 2.5 feet + 1.43 feet = 3.93 feet

### Answer: 3.93 feet

Expected answer: 55/14

Correct? No

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

Claude-3 Haiku:

Okay, let's break this down step-by-step:
* John originally had 5 shirts
* He donated 12/9 of them to charity
* To find how many shirts he donated, we need to calculate 12/9 of 5 shirts
* 12/9 of 5 = (12/9) * 5 = 60/9 = 6.67 shirts
* Since we can't donate a fraction of a shirt, we'll round down to 6 shirts donated
* Therefore, John has 5 - 6 = -1 shirts left

However, this doesn't make sense, as John can't have a negative number of shirts. Let's re-examine the problem.

The correct way to solve this is:
* John originally had 5 shirts
* He donated 12/9 of them to charity
* 12/9 of 5 = 60/9 = 6.67 shirts
* Since we can't donate a fraction of a shirt, we'll round down to 6 shirts donated
* Therefore, John has 5 - 6 = -1 shirts left

### 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 Haiku:

Okay, let's break this down step-by-step:
1) The original length of the jacket is 14/3 meters.
2) Bob decides to cut off 14/16 meters from the original length.
3) To find the new length, we need to subtract the amount cut off from the original length.
4) 14/3 meters - 14/16 meters = (14 * 5/16 - 14 * 1/3) meters
5) Simplifying, we get: (70/48 - 42/48) meters = 28/48 meters
6) Reducing the fraction, the final length of the jacket is 7/12 meters.

### Answer: 7/12 meters

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 Haiku:

Okay, let's break this down step-by-step:

1. Officer Max spends 2/6 part of an hour completing paperwork.
2. He then spends 14/7 parts of an hour patrolling the neighborhood.

To find the total time used for these two tasks, we need to add the two parts together.

2/6 part of an hour + 14/7 parts of an hour

To add these fractions, we need to find a common denominator. The least common denominator is 42.

2/6 = 14/42
14/7 = 30/42

Now we can add the fractions:
14/42 + 30/42 = 44/42

Therefore, Officer Max uses 44/42 parts of an hour for these two tasks.

### Answer: 44/42 parts of an hour.

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 Haiku:

Okay, let's break this down step-by-step:
1) John watched a movie for 10/12 of an hour.
2) He then watched a TV show for 3/8 of an hour.
3) To find the total time he spent watching, we need to add these two times together.

To add the fractions, we need to find a common denominator. The least common denominator of 12 and 8 is 24.

10/12 of an hour = 10/12 * 24/24 = 20/24 hours
3/8 of an hour = 3/8 * 24/24 = 9/24 hours

Total time spent watching = 20/24 + 9/24 = 29/24 hours

To convert this to hours, we divide 29 by 24:
29/24 = 1 hour and 5/24 hours

### Answer: 1 hour and 5/24 hours

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 Haiku:

Okay, let's break this down step-by-step:
1) Mr. Carpenter takes 5/3 hours to build the frame.
2) He then takes an additional 10/13 hours to upholster the chair.
3) To find the total time, we add the two times together:
5/3 hours + 10/13 hours = (5/3 + 10/13) hours

To add these fractions, we need to find a common denominator. The least common denominator of 3 and 13 is 39.

5/3 = 15/39
10/13 = 30/39

15/39 + 30/39 = 45/39

Therefore, the total time it takes Mr. Carpenter to build a chair from start to finish is 45/39 hours.

### Answer: 45/39 hours

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 Haiku:

Okay, let's break this down step-by-step:
1) The small beads are 8/4 mm in diameter. This can be simplified to 2 mm in diameter.
2) The large beads are 15/2 mm in diameter. This can be simplified to 7.5 mm in diameter.
3) Anna adds one small bead (2 mm) and one large bead (7.5 mm) to her bracelet.
4) The total added diameter would be the sum of the small bead diameter and the large bead diameter:
2 mm + 7.5 mm = 9.5 mm

### Answer: 9.5 mm

Expected answer: 19/2

Correct? No

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 Haiku:

Okay, let's break this down step-by-step:
1) The rocket first travels 11/18 light-years to an alien planet.
2) Then, the rocket travels another 8/2 light-years towards a distant star.
3) To find the total distance covered, we need to add these two distances together.

11/18 light-years + 8/2 light-years
= 11/18 + 4 light-years
= (11 + 72)/18 light-years
= 83/18 light-years

### Answer: 83/18 light-years

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 Haiku:

Okay, let's break this down step-by-step:
1) Johnathan needs 12/14 yards of one fabric for the sleeping bag.
2) Johnathan needs 8/5 yards of a different fabric for the liner.
3) To find the total yards of fabric needed, we need to add the two amounts together.

To add fractions, we need to find a common denominator. The least common denominator of 14 and 5 is 70.

12/14 = 60/70
8/5 = 112/70

Now we can add the fractions:
60/70 + 112/70 = 172/70

To convert this to a mixed number, we divide 172 by 70 to get 2 with a remainder of 32.
So the total yards of fabric needed is 2 32/70.

### Answer: 2 32/70

Expected answer: 86/35

Correct? Yes

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 Haiku:

Okay, let's break this down step-by-step:
* There are 5/4 acres of pine trees
* There are 1/2 acre of oak trees
* To find the total acreage, we need to add the pine and oak tree acreages together

First, let's convert the 5/4 acres of pine trees to a decimal:
* 5/4 = 1.25 acres of pine trees

Now, we can add the pine and oak tree acreages together:
* 1.25 acres of pine trees + 0.5 acres of oak trees = 1.75 total acres

### Answer: 1.75

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 Haiku:

Okay, let's solve this step-by-step:
1) Jake has 12/7 of a yard of fabric.
2) He finds another piece that measures 2/14 of a yard.
3) To combine the two pieces, we need to find the total amount of fabric.
4) To add fractions with different denominators, we need to find the least common denominator (LCD).
5) The LCD of 7 and 14 is 14.
6) 12/7 = 24/14 (since 12/7 = 12 * 2/14 = 24/14)
7) 2/14 + 24/14 = 26/14
8) Simplifying, 26/14 = 13/7.
### Answer: 13/7 yards of fabric.

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 Haiku:

Okay, let's break this down step-by-step:
* In the summer, the tree produces on average 10/4 kg of fruit.
* In the winter, the tree loses 12/20 kg of fruit.

To find the difference in kilograms of fruit from summer to winter, we need to subtract the winter amount from the summer amount.

Summer amount: 10/4 kg
Winter amount: 12/20 kg

Difference = Summer amount - Winter amount
            = 10/4 - 12/20
            = (10 * 5) / (4 * 5) - (12 * 1) / (20 * 1)
            = 50/20 - 12/20
            = 38/20

### Answer: 38/20 kg

Expected answer: 19/10

Correct? Yes

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 Haiku:

Okay, let's break this down step-by-step:
1) The ballerina starts with a routine that lasts 13/5 minutes.
2) She decides to shorten the routine by 15/16 minutes.
3) To find the new length of the routine, we need to subtract the amount she shortened it by from the original length.
4) 13/5 minutes - 15/16 minutes = (13/5 - 15/16) minutes
5) To simplify this expression, we need to find a common denominator. The least common denominator of 5 and 16 is 80.
6) 13/5 = 208/80 and 15/16 = 75/80
7) 208/80 - 75/80 = 133/80 minutes
8) Simplifying this further, 133/80 = 1 minute and 53/80 minutes.

### Answer: 1 minute and 53/80 minutes.

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 Haiku:

Okay, let's break this down step-by-step:
1) Miss Daisy has 19/6 kg of fertilizers for her flowers.
2) She uses 17/20 kg on her roses.
3) To find how much fertilizers she has left, we need to subtract the amount used on the roses from the total amount she had.

Subtracting the amounts:
19/6 kg - 17/20 kg = (19*20 - 17*6) / (6*20) kg
= (380 - 102) / 120 kg
= 278 / 120 kg
= 2.3166 kg

Therefore, Miss Daisy has 2.3166 kg of fertilizers left to use on her other flowers.

### Answer: 2.3166 kg

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 Haiku:

Okay, let's break this down step-by-step:
1) The moon is moving away from Earth by 4/16 meters every year.
2) This year, there was an additional increase of 20/6 meters.
3) To find the total change in distance this year, we need to add the two increases together.

The first increase is 4/16 meters.
The second increase is 20/6 meters.

To add these, we need to find a common denominator. The least common denominator is 48.

4/16 = 12/48
20/6 = 40/48

Now we can add them together:
12/48 + 40/48 = 52/48

Therefore, the total change in distance this year is 52/48 meters.

### Answer: 52/48 meters.

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 Haiku:

Okay, let's solve this step-by-step:
1) Bob has 11/3 dollars in one pocket of his wallet.
2) Bob has 12/19 dollars in the other pocket of his wallet.
3) To find the total amount of money Bob has in his wallet, we need to add the two amounts together.
4) To add fractions, we need to find a common denominator. The least common denominator of 3 and 19 is 57.
5) 11/3 = 11 * 19/19 = 209/57
6) 12/19 = 12 * 3/3 = 36/57
7) 209/57 + 36/57 = 245/57

### Answer: 245/57

Expected answer: 245/57

Correct? Yes

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 Haiku:

Okay, let's break this down step-by-step:
1) In the morning, the shark swam a distance of 5/5 miles.
2) In the afternoon, the shark added an additional 12/18 miles.
3) To find the total distance the shark swam that day, we need to add the morning and afternoon distances together.

To add the fractions, we need to find a common denominator. The least common denominator of 5 and 18 is 90.

5/5 = 18/18 = 90/90
12/18 = 60/90

Now we can add the distances:
90/90 + 60/90 = 150/90

To simplify the fraction, we can divide both the numerator and denominator by 30:
150/90 = 5 miles

### Answer: 5 miles

Expected answer: 5/3

Correct? No

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 Haiku:

Okay, let's break this down step-by-step:
* Jim types 20 words in 16 seconds
* To find Jim's typing speed, we divide the number of words by the time:
  * Jim's typing speed = 20 words / 16 seconds = 1.25 words per second
* Mary types 9 words in 4 seconds
* To find Mary's typing speed, we divide the number of words by the time:
  * Mary's typing speed = 9 words / 4 seconds = 2.25 words per second
* To find the total words per second, we add Jim's and Mary's typing speeds:
  * Total words per second = Jim's speed + Mary's speed
  * Total words per second = 1.25 + 2.25 = 3.5 words per second

### Answer: 3.5 words per second

Expected answer: 7/2

Correct? No

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 Haiku:

Okay, let's break this down step-by-step:
* In the morning, Max rode his scooter for 9/7 miles.
* In the afternoon, he rode 1/9 miles less than in the morning.

To find the distance he rode in the afternoon, we need to subtract 1/9 miles from the morning distance of 9/7 miles.

The calculation is:
* 9/7 miles - 1/9 miles = (9/7) - (1/9) = (9 - 1)/7 = 8/7 miles

### Answer: 8/7 miles

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 Haiku:

Okay, let's break this down step-by-step:
1) The clown rode a unicycle for 9/8 hours.
2) After a short break, she juggled for another 2/10 hours.
3) To find the total time she performed, we need to add the two times together.

Unicycle time: 9/8 hours
Juggling time: 2/10 hours

Total time = Unicycle time + Juggling time
           = 9/8 + 2/10
           = (9*10 + 8*2) / (8*10)
           = (90 + 16) / 80
           = 106 / 80
           = 1.325 hours

### Answer: 1.325 hours

Expected answer: 53/40

Correct? No

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 Haiku:

Okay, let's break this down step-by-step:
1) Timmy initially dumped 7/2 kg of sand into his sandbox.
2) 7/2 kg is the same as 3.5 kg.
3) Later, Timmy added another 1/2 kg of sand.
4) To find the total amount of sand in the sandbox, we add the initial 3.5 kg and the additional 0.5 kg.
5) 3.5 kg + 0.5 kg = 4 kg.

### Answer: 4 kg

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 Haiku:

Okay, let's break this down step-by-step:
1) The potion required 18/8 ounces of moon roots.
2) The potion required 11/7 ounces of stardust.
3) To find the total ounces of ingredients used, we need to add the moon roots and stardust together.

For the moon roots:
18/8 ounces = 2.25 ounces

For the stardust:
11/7 ounces = 1.57 ounces

Total ounces of ingredients used:
2.25 ounces + 1.57 ounces = 3.82 ounces

### Answer: 3.82 ounces

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 Haiku:

Okay, let's break this down step-by-step:
1) The UFO first traveled 3/10 of a mile.
2) Then it immediately traveled an additional 16/20 of a mile.
3) To find the total distance traveled, we need to add these two distances together.

3/10 of a mile + 16/20 of a mile
= 3/10 + 16/20
= 3/10 + 0.8 (since 16/20 = 0.8)
= 1.1 miles

### Answer: 1.1 miles

Expected answer: 11/10

Correct? No

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 Haiku:

Okay, let's break this down step-by-step:
* Machine 1 makes 4/14 of a chair per hour
* Machine 2 makes 20/4 chairs per hour

To find the total number of chairs made by both machines in one hour, we need to add the output of the two machines.

For Machine 1:
* 4/14 of a chair per hour

For Machine 2: 
* 20/4 = 5 chairs per hour

Total chairs made in one hour:
* 4/14 + 5 = (4/14) + (20/4) = (4 * 5) / (14 * 4) = 20/56 = 5/14 chairs

### Answer: 5/14 chairs

Expected answer: 37/7

Correct? No

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 Haiku:

Okay, let's break this down step-by-step:
* The blue shark swam for 2/4 miles
* The hammerhead shark swam for 7/10 miles

To find the total distance they swam together, we need to add these two distances:
* 2/4 miles + 7/10 miles

To add fractions, we need to find a common denominator. The least common denominator of 4 and 10 is 20.

So we convert the fractions to have a denominator of 20:
* 2/4 = 10/20
* 7/10 = 14/20

Now we can add the fractions:
* 10/20 + 14/20 = 24/20

To simplify the final answer, we can convert 24/20 to 1 4/20 miles.

### Answer: 1 4/20 miles

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 Haiku:

Okay, let's solve this step-by-step:

1. The first bottle has 8/18 gallons of milk.
2. The second bottle has 18/8 gallons of milk.

To find the total amount of milk, we need to convert both fractions to a common denominator.

The common denominator will be 18 * 8 = 144.

So, the first bottle has 8/18 * 144/144 = 64/144 gallons.
The second bottle has 18/8 * 144/144 = 324/144 gallons.

Now we can add the two amounts together:
64/144 + 324/144 = 388/144 gallons.

To simplify the final answer, we can convert 388/144 to a mixed number:
388/144 = 2 + 100/144 gallons.

### Answer: 2 + 100/144 gallons.

Expected answer: 97/36

Correct? Yes

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 Haiku:

Okay, let's break this down step-by-step:
1) The tree grows 1/10 of its height every month.
2) This month, the tree also grew an additional 12/6 feet due to the fertilizer.

To calculate the total growth this month:
1) The 1/10 of the tree's height growth:
   - Let's say the tree's initial height was 10 feet.
   - 1/10 of 10 feet = 1 foot.
2) The additional 12/6 feet growth from the fertilizer:
   - 12/6 = 2 feet.
3) The total growth this month is the sum of the two:
   - 1 foot + 2 feet = 3 feet.

### Answer: 3 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 Haiku:

Okay, let's break this down step-by-step:

1) The large tent occupies an area of 13/11 acres.
2) The smaller tent occupies an area of 8/20 acres.
3) To find the total area occupied by both tents, we need to add the areas of the two tents together.

To add the areas, we need to convert them to the same unit. Let's convert both to acres.

The area of the large tent is 13/11 acres.
The area of the smaller tent is 8/20 acres, which can be simplified to 2/5 acres.

Now we can add the areas:
13/11 acres + 2/5 acres = (13 * 5) / (11 * 5) + 2/5 = 65/55 + 2/5 = 67/55 acres.

### Answer: 67/55 acres.

Expected answer: 87/55

Correct? No

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 Haiku:

Okay, let's break this down step-by-step:
1) The treasure map shows the treasure is (17 / 20) km to the East from the starting point.
2) The treasure map also shows the treasure is (15 / 3) km to the North from the starting point.
3) To calculate the total distance traveled, we need to use the Pythagorean theorem.
4) The distance to the East is (17 / 20) km.
5) The distance to the North is (15 / 3) km.
6) Using the Pythagorean theorem:
   Total distance = sqrt((17/20)^2 + (15/3)^2)
   = sqrt((17^2/400) + (225/9))
   = sqrt((289/400) + (25))
   = sqrt(314/400)
   = sqrt(0.785) km
   = 0.885 km

### Answer: 0.885 km

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 Haiku:

Okay, let's break this down step-by-step:
1) Sarah collected 11/20 of a pound of firewood.
2) Alex collected 9/7 pounds of firewood.
3) To find the total amount of firewood collected, we need to add these two amounts together.

To add fractions, we need to find a common denominator. The least common denominator of 20 and 7 is 140.

So, 11/20 = 77/140 and 9/7 = 90/140.

Now we can add the fractions:
77/140 + 90/140 = 167/140

To convert this to a mixed number, we divide 167 by 140 to get 1 and a remainder of 27/140.

So the total amount of firewood collected is 1 27/140 pounds.

### Answer: 1 27/140 pounds.

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 Haiku:

Okay, let's break this down step-by-step:
1) Captain Bill sailed 19/5 miles north.
2) Then he sailed an additional 12/15 miles north.
3) To find the total miles sailed north, we need to add the two distances together.

19/5 miles + 12/15 miles = (19/5) + (12/15) miles
= (19 * 3) / (5 * 3) + (12 * 1) / (15 * 1) miles
= 57/15 + 12/15 miles
= 69/15 miles

### Answer: 69/15 miles

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 Haiku:

Okay, let's break this down step-by-step:
1) The restaurant uses 19/17 pounds of ham per sandwich.
2) The restaurant uses 9/4 pounds of turkey per sandwich.
3) To find the total weight of the two types of meat per sandwich, we add the weights together:
   Total weight = 19/17 pounds of ham + 9/4 pounds of turkey
4) To add the fractions, we need to find a common denominator. The least common denominator of 17 and 4 is 68.
5) 19/17 = 76/68 and 9/4 = 17/4 = 68/17
6) Total weight = 76/68 + 68/17 = 144/68 + 68/17 = 212/68 + 4 = 216/68
7) Simplifying the fraction, we get 216/68 = 18/17 pounds.

### Answer: 18/17 pounds.

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 Haiku:

Okay, let's break this down step-by-step:
1) The original sleeping bag was 18/19 meter long.
2) Lucy got an extension that made the sleeping bag 8/11 meter longer.
3) To find the total length of the sleeping bag now, we need to add the original length and the extension length.

The original length was 18/19 meter.
The extension length was 8/11 meter.

To add these fractions, we need to find a common denominator. The least common denominator of 19 and 11 is 209.

18/19 = 209/209
8/11 = 171/209

Now we can add the lengths:
209/209 + 171/209 = 380/209

### Answer: 380/209 meter

Expected answer: 350/209

Correct? No

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 Haiku:

Okay, let's solve this step-by-step:
1) Sarah pours 10/13 gallon of water into the container.
2) Then she adds another 8/2 gallons of water into it.
3) To find the total gallons of water in the container, we need to add the two amounts together.

10/13 gallon + 8/2 gallons = (10/13) + (8/2) gallons
= (10/13) + (4) gallons
= (10/13) + (52/13) gallons
= (62/13) gallons

### Answer: 62/13 gallons

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 Haiku:

Okay, let's solve this step-by-step:
1) Mandy has 9/2 KGs of apples.
2) She uses 1/4 KG of them to make apple pie.
3) To find how many KGs of apples she has left, we need to subtract the amount she used from the total amount she had.
4) 9/2 KGs - 1/4 KG = 9/2 - 1/4 = 18/4 - 1/4 = 17/4 KGs.

### Answer: 17/4 KGs.

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 Haiku:

Okay, let's break this down step-by-step:
1) John spent 12/7 hours fixing the watch.
2) He then spent an additional 3/9 hours polishing the watch.
3) To find the total time spent, we need to add the two times together.

To add the fractions, we need to find a common denominator. The least common denominator of 7 and 9 is 63.

12/7 = 12 * 9/9 * 7 = 108/63
3/9 = 3 * 7/7 * 9 = 21/63

Now we can add the two times together:
108/63 + 21/63 = 129/63

To simplify the final answer, we can convert the improper fraction to a mixed number:
129/63 = 2 3/63

Therefore, the total time John spent working on the watch is 2 3/63 hours.

### Answer: 2 3/63 hours

Expected answer: 43/21

Correct? Yes

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 Haiku:

Okay, let's break this down step-by-step:
1) Peggy swam 5/4 miles before turning around.
2) She then swam 1/12 miles back towards her family.
3) To find the total distance Peggy is from her family, we need to subtract the distance she swam back (1/12 miles) from the initial distance she swam (5/4 miles).

5/4 miles - 1/12 miles = (5/4 - 1/12) miles
= (5 * 3 - 1) / (4 * 3) miles
= (15 - 4) / 12 miles
= 11 / 12 miles

### Answer: 11/12 miles

Expected answer: 7/6

Correct? No

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 Haiku:

Okay, let's break this down step-by-step:
* The farmer has one part of the field that is 4 acres
* The other part of the field is 11/12 of an acre
* To find the total acres used to grow wheat, we need to add these two parts together

First, let's convert 11/12 of an acre to a decimal:
* 11/12 = 0.9166 acres

Now, we can add the two parts together:
* 4 acres + 0.9166 acres = 4.9166 acres

### Answer: 4.9166 acres

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 Haiku:

Okay, let's break this down step-by-step:
1) The designer used 11/4 yards of red fabric.
2) The designer then added 5/17 yards of blue fabric.
3) To find the total amount of fabric used, we need to add the red and blue fabric together.

To add the fractions, we need to find a common denominator. The least common denominator of 4 and 17 is 68.

11/4 = 17/68 (multiplying the numerator and denominator by 17/17)
5/17 = 4/68 (multiplying the numerator and denominator by 4/4)

Now we can add the fractions:
17/68 + 4/68 = 21/68

Therefore, the designer used a total of 21/68 yards of fabric.

### Answer: 21/68 yards

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 Haiku:

Okay, let's solve this step-by-step:
1) Jacob has 11/2 feet of guitar wire.
2) He uses 5/16 feet of it to fix a guitar.
3) To find the remaining wire, we need to subtract the amount used from the total amount.
4) 11/2 feet - 5/16 feet = (11 * 16/2) - 5 = 88/2 - 5 = 43/2 feet.

### Answer: 43/2 feet.

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 Haiku:

Okay, let's break this down step-by-step:
* Samantha has a 4 fluid ounce tube of toothpaste
* In one week, she uses 17/14 fluid ounces

To find how much toothpaste she has left after that week, we need to subtract the amount she used from the original amount.

The amount she used in one week is 17/14 fluid ounces.

Now, we subtract this from the original 4 fluid ounces:
* 4 fluid ounces - 17/14 fluid ounces = (4*14 - 17)/14 fluid ounces
* = (56 - 17)/14 fluid ounces
* = 39/14 fluid ounces

### Answer: 39/14 fluid ounces

Expected answer: 39/14

Correct? Yes

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 Haiku:

Okay, let's break this down step-by-step:
1. Maria has 12 candies and she gives an equal amount to her 6 friends.
   * To calculate how many candies each friend gets, we divide the total number of candies (12) by the number of friends (6).
   * 12 candies / 6 friends = 2 candies per friend.

2. Maria has 20 stickers and she gives one sticker to each of her 20 friends.
   * Since each friend gets 1 sticker, each friend gets 1 sticker.

3. To calculate the total number of candies and stickers each friend gets, we add the number of candies (2) and the number of stickers (1).
   * 2 candies + 1 sticker = 3 candies and stickers per friend.

### Answer: Each friend gets a total of 3 candies and stickers.

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 Haiku:

Okay, let's break this down step-by-step:

The first rainfall lasted for 4/13 hours.
The second rainfall lasted for 11/5 hours.

To find the total time it rained, we need to add these two durations together.

To add fractions, we need to find a common denominator. The least common denominator of 13 and 5 is 65.

4/13 = 20/65
11/5 = 143/65

Now we can add the two durations:
20/65 + 143/65 = 163/65

To convert this to a mixed number, we divide 163 by 65 to get 2 with a remainder of 33.

Therefore, the total time it rained was 2 and 33/65 hours.

### Answer: 2 and 33/65 hours

Expected answer: 163/65

Correct? Yes

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 Haiku:

Okay, let's break this down step-by-step:
1) Jane first cuts 10/12 yards of fabric from the blanket.
2) Then, she cuts an additional 10/10 yard.
To find the total amount of fabric cut, we need to add these two amounts together.

10/12 yards + 10/10 yards = (10/12) + (10/10) = (10 * 10/12) + (10/10) = (100/120) + (100/100) = 200/120 = 5/3 yards.

### Answer: 5/3 yards.

Expected answer: 11/6

Correct? No

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 Haiku:

Okay, let's solve this step-by-step:
1) The fairy sprinkled 11/12 oz of magic dust over an enchanted field.
2) She then sprinkled an additional 9/10 oz of dust over a grove of enchanted apple trees.
3) To find the total amount of magic dust used, we need to add these two amounts together.

To add fractions, we need to find a common denominator. The least common denominator of 12 and 10 is 60.

11/12 oz = 55/60 oz
9/10 oz = 54/60 oz

Now we can add the two amounts:
55/60 oz + 54/60 oz = 109/60 oz

To simplify, we can convert this to a mixed number:
109/60 oz = 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 Haiku:

Okay, let's break this down step-by-step:
* The word game assigns 3/11 of a point for each vowel used
* The word game assigns 8/10 of a point for each consonant used
* You used 1 vowel and 1 consonant

To calculate the score:
* For the 1 vowel, the score is 3/11 points
* For the 1 consonant, the score is 8/10 points
* Adding these together:
  - 3/11 + 8/10 = (3/11) + (8/10) = (3*10 + 8*11) / (11*10) = (30 + 88) / 110 = 118 / 110

### Answer: 118/110

Expected answer: 59/55

Correct? Yes

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 Haiku:

Okay, let's break this down step-by-step:
1) The original letter was 4/1 pages long.
2) You removed 14/9 pages from it.
3) To find the new length of the letter, we need to subtract the 14/9 pages from the original 4/1 pages.

To subtract fractions, we need to find a common denominator. The least common denominator of 1 and 9 is 9.

4/1 = 36/9
14/9 = 14/9

Now we can subtract:
36/9 - 14/9 = 22/9

Therefore, the letter is now 22/9 pages long.

### Answer: 22/9

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 Haiku:

Okay, let's break this down step-by-step:
1) Anne painted 16/20 of the table.
2) Bob then painted an additional 5/20 of the table.
3) To find the total amount of the table that has been painted, we add the two fractions together:
16/20 + 5/20 = 21/20
4) Since 21/20 is greater than 1, we can simplify this to 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 Haiku:

Okay, let's break this down step-by-step:

1. The star Alpha shines 17/3 times brighter than an average star.
2. The star Bravo shines 20/16 times as bright as an average star.

To find the total relative brightness of both stars, we need to add up their individual relative brightnesses.

Star Alpha's relative brightness: 17/3
Star Bravo's relative brightness: 20/16

Adding these together:
17/3 + 20/16 = (17 * 16) / (3 * 16) + (20 * 3) / (16 * 3)
= 272/48 + 60/48
= 332/48

Simplifying the fraction:
332/48 = 83/12

### Answer: 83/12

Expected answer: 83/12

Correct? Yes

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 Haiku:

Okay, let's break this down step-by-step:

1. We have 17/20 kg of red apples.
2. We have 18/8 kg of green apples.

To find the total kilograms of apples, we need to convert the fractions to a common denominator and then add them together.

The common denominator is 20 (the least common multiple of 20 and 8).

17/20 kg of red apples = 17 kg
18/8 kg of green apples = 18 * (20/8) = 45 kg

Now we add the red and green apples together:
17 kg + 45 kg = 62 kg

### Answer: 62 kg

Expected answer: 31/10

Correct? No

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 Haiku:

Okay, let's break this down step-by-step:
1) The bus first drives 12/20 of a mile.
2) Then, the bus goes an additional 12/12 of a mile.
To find the total distance traveled, we need to add these two distances together.

12/20 of a mile + 12/12 of a mile
= (12/20) + (12/12)
= 0.6 + 1
= 1.6 miles

### Answer: 1.6 miles

Expected answer: 8/5

Correct? No

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 Haiku:

Okay, let's break this down step-by-step:

In the first hour, the shark swims 3/9 miles.

In the second hour, the shark's speed increases to 13/5 miles.

To find the total distance the shark swims in the two hours, we need to add the distances from each hour:

Distance in first hour: 3/9 miles
Distance in second hour: 13/5 miles

Total distance = 3/9 + 13/5
To add these fractions, we need to find a common denominator.
The least common denominator is 45.

3/9 = 15/45
13/5 = 39/45

Total distance = 15/45 + 39/45 = 54/45 miles

### Answer: 54/45 miles

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 Haiku:

Okay, let's break this down step-by-step:
* The first beat is hit every 17/17 seconds
* The second beat is hit every 2/12 seconds

To find the time it takes for the drummer to hit the two beats together, we need to find the least common multiple (LCM) of the two time intervals.

The LCM of 17/17 and 2/12 is:
* LCM = 17 * 12 / GCD(17, 12) = 204 / 1 = 204 seconds

Therefore, it takes 204 seconds for the drummer to hit the two beats together.

### Answer: 204 seconds

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 Haiku:

Okay, let's break this down step-by-step:
* In the morning, the fireplace burns 12/17 cord of wood
* In the evening, the fireplace burns 8/19 cord of wood
* To find the total cord of wood burned in a day, we need to add the two amounts together

First, let's convert the fractions to have a common denominator:
* 12/17 = (12 * 19) / (17 * 19) = 228/323
* 8/19 = (8 * 17) / (19 * 17) = 136/323

Now we can add the two amounts together:
* 228/323 + 136/323 = 364/323

Therefore, the total cord of wood the fireplace burns in a day is 364/323 cord.

### Answer: 364/323 cord

Expected answer: 364/323

Correct? Yes

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 Haiku:

Okay, let's break this down step-by-step:
* The first segment of the butterfly's flight was 18/19 of a mile
* The second segment was 9/17 of a mile
* To find the total length of the flight, we need to add the two segments together

First, let's convert the fractions to decimal form:
* 18/19 = 0.947368421
* 9/17 = 0.529411765

Now, we can add the two segments together:
* 0.947368421 + 0.529411765 = 1.476780186

Therefore, the entire flight of the butterfly was 1.476780186 miles.

### Answer: 1.476780186 miles

Expected answer: 477/323

Correct? No

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 Haiku:

Okay, let's break this down step-by-step:
1) The distance between the first two cities is 13/10 inches.
2) The distance between the second and third cities is 14/15 inches.
3) To find the total distance, we need to add these two distances together.

To add fractions, we need to find a common denominator. The least common denominator of 10 and 15 is 30.

So, 13/10 = 39/30 and 14/15 = 28/30.

Now we can add the distances:
39/30 + 28/30 = 67/30

Therefore, the total distance Jenna measured between the three cities on the map is 67/30 inches.

### Answer: 67/30 inches.

Expected answer: 67/30

Correct? Yes

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 Haiku:

Okay, let's break this down step-by-step:
1) The initial rise rate of the helium balloon is 13/6 feet per second.
2) After a gust of wind, the speed increases by 3/16 feet per second.
3) To find the new speed, we add the initial rise rate and the increase in speed:
   13/6 feet per second + 3/16 feet per second = (13/6 + 3/16) feet per second
4) To simplify this expression, we need to find a common denominator. The least common denominator is 48.
   13/6 = 26/12 = 39/48
   3/16 = 9/48
5) Adding these together, we get:
   39/48 + 9/48 = 48/48 = 1 foot per second.

### Answer: 1 foot per second.

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 Haiku:

Okay, let's break this down step-by-step:
1) Scarlett has 16/10 gallons of red paint.
2) She uses 1/20 of a gallon for a small art project.
3) To find how many gallons of red paint she has left, we need to subtract the amount she used from the total amount she had.

First, let's convert 16/10 gallons to a decimal:
16/10 = 1.6 gallons

Now, let's subtract the amount she used (1/20 gallon) from the total amount she had (1.6 gallons):
1.6 gallons - 1/20 gallon = 1.6 - 0.05 = 1.55 gallons

### Answer: 1.55 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 Haiku:

Okay, let's break this down step-by-step:
1) Susie has a box of 12 chocolate bars.
2) She decides to eat 2/5 of a chocolate bar herself.
3) To find how many chocolate bars are left in the box, we need to subtract the amount she ate from the total.
4) 2/5 of a chocolate bar is the same as 0.4 of a chocolate bar.
5) Susie ate 0.4 of a chocolate bar.
6) 12 chocolate bars - 0.4 chocolate bars = 11.6 chocolate bars left in the box.

### Answer: 11.6

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 Haiku:

Okay, let's break this down step-by-step:
* The plane is initially flying at an altitude of 2 miles.
* The plane then descends by 10/15 of a mile.

To calculate the new altitude, we need to subtract the descent from the initial altitude.

The descent is 10/15 of a mile, which is equal to 2/3 of a mile.

So, the new altitude is:
* Initial altitude - Descent = 2 miles - 2/3 mile = 1 1/3 miles

### Answer: 1 1/3 miles

Expected answer: 4/3

Correct? Yes

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 Haiku:

Okay, let's break this down step-by-step:
* The first slide is 6/19 meters long
* The second slide is 17/4 meters long

To find the total distance the child slid, we need to add the lengths of the two slides together.

The length of the first slide is 6/19 meters.
The length of the second slide is 17/4 meters.

To add these together, we need to find a common denominator. The least common denominator of 19 and 4 is 76.

6/19 = 24/76
17/4 = 32/76

Now we can add the lengths:
24/76 + 32/76 = 56/76 meters

### Answer: 56/76 meters

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 Haiku:

Okay, let's break this down step-by-step:
* In the early morning, the fireplace burns 4/15 cords per hour
* In the late night, the fireplace burns 14/15 cords per hour
* We need to find the total amount of firewood burned in one hour, split between the early morning and late night

First, let's calculate the amount of firewood burned in the early morning:
* 4/15 cords per hour

Next, let's calculate the amount of firewood burned in the late night:
* 14/15 cords per hour

Now, we can add these two amounts together to get the total amount of firewood burned in one hour:
* 4/15 + 14/15 = 18/15 cords

### Answer: 18/15 cords

Expected answer: 6/5

Correct? Yes

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 Haiku:

Okay, let's break this down step-by-step:
1) The alien first travelled 9/20 of a light year towards Earth.
2) Then the alien decided to move forward another 11/7 light years.
3) To find the total distance travelled, we need to add these two distances together.

First, let's convert the fractions to decimal form:
9/20 = 0.45 light years
11/7 = 1.57 light years

Now, we can add the two distances together:
0.45 light years + 1.57 light years = 2.02 light years

### Answer: 2.02 light years

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 Haiku:

Okay, let's break this down step-by-step:
1) Bob has 10/2 of a cucumber. This is equal to 5 parts of a cucumber.
2) Bob adds this to 1/7 of another cucumber.
3) To find 1/7 of a cucumber, we divide 1 by 7, which is 0.14285714 of a cucumber.
4) So Bob has 5 parts of a cucumber plus 0.14285714 parts of a cucumber.
5) To find the total, we add these two numbers: 5 + 0.14285714 = 5.14285714 parts of a cucumber.

### Answer: 5.14285714

Expected answer: 36/7

Correct? No