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?

Llama 3 8B:

Reasoning: Kyle threw the ball for a distance of 18/4 yards, which can be simplified to 4.5 yards.
Lisa threw the ball for a distance of 19/9 yards, which can be simplified to 2.11 yards.
The total distance the ball traveled is the sum of Kyle's and Lisa's throws: 4.5 + 2.11 = 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?

Llama 3 8B:

Reasoning: To find the number of bananas given to Johnnie in the morning, we need to simplify the fraction 18/7. We can do this by dividing both the numerator and the denominator by their greatest common divisor, which is 3. This gives us 6/1, or simply 6. So, Johnnie was given 6 bananas in the morning.

In the afternoon, Johnnie was given 12/14 bananas. To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2. This gives us 6/7. So, Johnnie was given 6/7 bananas in the afternoon.

To find the total number of bananas given to Johnnie, we add the number of bananas given in the morning and the number of bananas given in the afternoon. This gives us 6 + 6/7 = 6 + 0.86 = 6.86 bananas.
### Answer: 6.86

Expected answer: 24/7

Correct? No

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?

Llama 3 8B:

Reasoning: The distance from the floor to the bottom of the door is 4/19 inches.
The distance from the ceiling to the top of the door is 1 - 9/10 = 1/10 inches.
The total distance is the sum of these two distances: 4/19 + 1/10 = <<(4*5+1*19)/(19*10)=23/190+19/190=42/190=7/38>>7/38 inches.
### Answer: 7/38

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?

Llama 3 8B:

Reasoning: Ralph's recipe requires 17/3 liters of apple juice, but he only uses 15/11 liters. To find the difference, we need to subtract the amount used from the amount required:

(17/3) - (15/11) = ?

To subtract fractions, we need to find a common denominator, which is 33. So, we can rewrite the fractions as:

(17/3) = (187/33)
(15/11) = (165/33)

Now, we can subtract:

(187/33) - (165/33) = (22/33)

So, Ralph has 22/33 liters of apple juice left unused.

### Answer: 22/33

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?

Llama 3 8B:

Reasoning: Billy initially travels 4 miles, but then rolls back 17/20 of a mile. To find the distance he rolled back, we can convert the fraction to a decimal: 17/20 = 0.85. So, he rolled back 0.85 miles. To find the distance he traveled forward, we subtract the distance he rolled back from the initial distance: 4 - 0.85 = 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?

Llama 3 8B:

Reasoning: The rocket traveled 15/3 light years on the first day, which can be simplified to 5 light years.
The rocket traveled an additional 2/7 light years on the second day.
To find the total distance traveled, we add the distances: 5 + 2/7 = 41/7 + 2/7 = 43/7 = 6 1/7 light years.
### Answer: 6 1/7 light years.

Expected answer: 37/7

Correct? No

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?

Llama 3 8B:

Reasoning: Captain Silverbeard found 10/13 of the treasure map at one site and 16/19 of the treasure map at another site.
To find the total portion of the treasure map that he found, we need to add the fractions.
First, we need to find the least common multiple (LCM) of 13 and 19, which is 247.
Then, we convert both fractions to have the same denominator, which is 247:
10/13 = (10 x 19)/(13 x 19) = 190/247
16/19 = (16 x 13)/(19 x 13) = 208/247
Now, we add the fractions:
190/247 + 208/247 = 398/247
### Answer: 398/247

Expected answer: 398/247

Correct? Yes

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?

Llama 3 8B:

Reasoning: The hiker walks 9/6 = 3/2 = 1.5 miles North.
The hiker walks 2/16 = 1/8 miles East.
The hiker travels a total distance of √(1.5^2 + 1/8^2) = √(2.25 + 0.0625) = √2.3125 ≈ 1.51 miles.
### Answer: ≈ 1.51

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?

Llama 3 8B:

Reasoning: Jessica has 16/9 cubic feet of sand initially.
She removes 4/13 cubic feet of sand, which is equal to 16/9 * 4/13 = 16/39 cubic feet.
So, she has 16/9 - 16/39 = 16/39 * 39/39 - 16/39 = 16/39 * (39/39 - 1) = 16/39 * (-16/39) = -16/39 cubic feet left.
### Answer: -16/39

Expected answer: 172/117

Correct? No

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?

Llama 3 8B:

Reasoning: Jacob's original rope is 15/12 meters long. To convert this to a decimal, we can divide the numerator by the denominator: 15 ÷ 12 = 1.25 meters.
He adds a piece that is 17/17 meters long, which is equal to 1 meter (since 17 ÷ 17 = 1).
The total length of the rope now is the sum of the original length and the added length: 1.25 + 1 = 2.25 meters.
### Answer: 2.25

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?

Llama 3 8B:

Reasoning: Mark has 1 full pair of pants, which is equal to 2 pairs.
He also has 13/4 pairs from various incomplete sets. To convert this to a decimal, we can divide the numerator by the denominator: 13 ÷ 4 = 3.25.
So, Mark has 3.25 pairs from various incomplete sets. Since you can't have a fraction of a pair, we'll round this to 3 pairs.
In total, Mark has 2 (full pair) + 3 (from incomplete sets) = 5 pairs of pants.
### Answer: 5

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?

Llama 3 8B:

Reasoning: Miss Jenny spent 8 hours on one subject. She spent an additional 20/19 hours on another subject. To find the total hours spent on the second subject, we need to convert the mixed number to an improper fraction: 20/19 = 1 1/19. Then, we add the hours spent on both subjects: 8 + 1 1/19 = 9 1/19. To convert this mixed number to a decimal, we divide the numerator by the denominator: 1/19 = 0.0526. Then, we add this decimal to the whole number part: 9 + 0.0526 = 9.0526. Since we can't spend a fraction of an hour, we round this decimal to the nearest tenth: 9.1 hours. Therefore, Miss Jenny spent 8 + 9.1 = <<8+9.1=17.1>>17.1 hours grading papers in total.
### Answer: 17.1

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?

Llama 3 8B:

Reasoning: The initial height of the cloud is 12/3 = 4 kms.
The cloud ascended by 15/12 = 1.25 kms.
So, the resultant height of the cloud from the ground is 4 + 1.25 = 5.25 kms.
### 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?

Llama 3 8B:

Reasoning: To find the total distance Jack rides his scooter, we need to add the distance he rides to the library and the distance he rides to his grandparents' house.

The distance he rides to the library is 3/9 of a mile. To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 3.

3 ÷ 3 = 1
9 ÷ 3 = 3

So, the distance he rides to the library is 1/3 of a mile.

The distance he rides to his grandparents' house is 17/15 of a mile. To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 1.

17 ÷ 1 = 17
15 ÷ 1 = 15

So, the distance he rides to his grandparents' house is 17/15 of a mile.

To add these distances, we can convert both to decimal form:

1/3 = 0.33
17/15 = 1.13

Now, we can add these decimal values:

0.33 + 1.13 = 1.46

Therefore, Jack rides his scooter a total of 1.46 miles.
### Answer: 1.46

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?

Llama 3 8B:

Reasoning: The logs burn for 4 x 1/16 = 1/4 of an hour.
The twigs burn for 16 x 1/12 = 4/3 of an hour.
The total burn time is the sum of the burn times for the logs and twigs, which is 1/4 + 4/3 = 5/12 + 4/3 = 5/12 + 20/12 = 25/12 of an hour.
### Answer: 25/12

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?

Llama 3 8B:

Reasoning: The ring maker uses 12/16 ounces for the base of the ring, which is equal to 0.75 ounces (12/16 = 0.75).
The ring maker uses 16/2 ounces for the rest of the ring, which is equal to 8 ounces (16/2 = 8).
The total amount of silver used is the sum of the base and the rest, which is 0.75 + 8 = 8.75 ounces.
### 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?

Llama 3 8B:

Reasoning: The farmer's apple tree produced 10/11 bushels of apples in the morning and 17/11 bushels in the afternoon. To find the total number of bushels produced, we can add the two fractions together:

(10/11) + (17/11) = ?

To add these fractions, we need to have the same denominator, which is 11. So, we can rewrite the fractions with the same denominator:

(10/11) + (17/11) = (10+17)/11 = 27/11

So, the apple tree produced 27/11 bushels of apples in total.

### 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?

Llama 3 8B:

Reasoning: Sam's binoculars increase his range of sight by 3/14 of a mile, which can be written as 3/14 * 1 mile. Joe's binoculars increase his range of sight by 1 mile, which is 16/16 * 1 mile. When they use the binoculars one after the other, the total increase in range is the sum of the two: (3/14 + 16/16) * 1 mile. To add these fractions, we need a common denominator, which is 56. So, we can rewrite the fractions as 24/56 + 16/16. The 16/16 simplifies to 1, so the total increase in range is (24/56 + 1) * 1 mile. This simplifies to (25/56) * 1 mile, which is 25/56 mile.
### Answer: 25/56

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?

Llama 3 8B:

Reasoning: Maria uses 15/10 yards of fabric for the first section. To find the equivalent fraction with a denominator of 18, we can multiply both the numerator and denominator by 2, getting 30/20 yards. For the second section, Maria uses 9/18 yards. To find the equivalent fraction with a denominator of 20, we can multiply both the numerator and denominator by 1, getting 9/18 yards. Now we can add the two sections together: 30/20 + 9/18 = 30/20 + 9/20 = 39/20 yards.
### Answer: 39/20

Expected answer: 2

Correct? No

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?

Llama 3 8B:

Reasoning: The turtle walks 10/5 = 2 miles forward, then walks backward 5/16 = 0.3125 miles.
The turtle has actually covered 2 - 0.3125 = 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?

Llama 3 8B:

Reasoning: The painter uses 18/11 liters of blue paint and 1/8 liters of white paint. To find the total amount of paint used, we need to add these two amounts together.

First, we can simplify the fractions by finding the common denominator, which is 88.

18/11 = 72/88
1/8 = 11/88

Now we can add the two amounts:

72/88 + 11/88 = 83/88

So, the painter used 83/88 liters of paint in total.

### Answer: 83/88

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?

Llama 3 8B:

Reasoning: The computer program executed 8 tasks in 4 minutes, so it executed 8/4 = 2 tasks per minute.
Then, it executed 20 tasks in 14 minutes, so it executed 20/14 = 10/7 tasks per minute.
The total number of tasks it executed per minute is 2 + 10/7 = 14/7 = 2 tasks per minute.
### Answer: 2

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?

Llama 3 8B:

Reasoning: To find the total amount of gold, we need to convert both fractions to a common denominator, which is 26 in this case.

12/13 = 12 × (2/2) / 13 = 24/26
3/2 = 3 × (13/13) / 2 = 39/26

Now, we can add the two amounts:

24/26 + 39/26 = 63/26

To simplify the fraction, we can divide both numerator and denominator by their greatest common divisor, which is 3:

63 ÷ 3 = 21
26 ÷ 3 = 8.67

So, the total amount of gold is 21 8/13 pounds.

### Answer: 21 8/13 pounds.

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?

Llama 3 8B:

Reasoning: The first part of the message is 4/4 hours long, which is equal to 1 hour. The second part is 11/1 hour long, which is equal to 11 hours. To find the total length of the message, we add the lengths of the two parts: 1 hour + 11 hours = 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?

Llama 3 8B:

Reasoning: Each pond has 10/5 = 2 ducks.
Each pool has 8/10 = 0.8 fish.
There are 5 ponds and 10 pools, so the total number of ducks is 5 x 2 = 10.
The total number of fish is 10 x 0.8 = 8.
The total number of animals is 10 ducks + 8 fish = 18.
### Answer: 18

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?

Llama 3 8B:

Reasoning: The distance between Town A and Town B is 15/11 inches. The distance between Town B and Town C is 16/15 inches. To find the total distance between Town A and Town C, we need to add these two distances.

First, we can find a common denominator for both fractions, which is 165. Then, we can convert both fractions to have a denominator of 165:

15/11 = 165/143
16/15 = 176/143

Now, we can add these two fractions:

165/143 + 176/143 = 341/143

So, the total distance between Town A and Town C on the map is 341/143 inches.

### Answer: 341/143

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?

Llama 3 8B:

Reasoning: To find the total amount of soap produced, we need to add the amount of Soap A and Soap B.

First, we need to convert both fractions to have the same denominator, which is 18.

Soap A: 13/18
Soap B: (4/6) × (3/3) = 12/18

Now we can add them:

13/18 + 12/18 = 25/18

So, the company produces 25/18 tons of soap in total each day.

### Answer: 25/18

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?

Llama 3 8B:

Reasoning: Mark's sleeping bag was originally 19/2 = 9.5 feet long.
He cut off 13/12 = 1.0833... feet from it.
So, the new length of his sleeping bag is 9.5 - 1.0833... = 8.4166... feet.
### Answer: 8.4166... feet (approximately 8.42 feet)

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?

Llama 3 8B:

Reasoning: First, we need to simplify the fractions. 6/20 can be simplified to 3/10, and 18/15 can be simplified to 6/5. So, Mary feeds 3/10 pounds of food to the monkeys, and 6/5 pounds of food to the giraffes.
To find the total amount of food given, we need to add the amounts given to the monkeys and giraffes. 3/10 + 6/5 can be rewritten as (3/10) + (12/10) = (15/10) = 1 1/2 pounds.
### Answer: 1 1/2 pounds.

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?

Llama 3 8B:

Reasoning: Albert starts with 20/17 full sets of cards, which is equivalent to 20/17 = 1.17647... (approximately 1.18) full sets. He then collects another full set of 4/1 cards, which is 4 full sets.
In total, Albert has 1.18 + 4 = 5.18 full sets of cards, which is approximately 5 full sets.
### Answer: 5

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?

Llama 3 8B:

Reasoning: The jeweler initially has 5/14 pounds of silver.
Adding 18/19 pounds more, the jeweler now has 5/14 + 18/19 = 95/238 pounds of silver.
### Answer: 95/238

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?

Llama 3 8B:

Reasoning: The turtle moves 11 meters northward, so it is 11 meters away from the starting point.
Then, it moves 15/15 of a meter back towards the starting point, which is equivalent to 1 meter back towards the starting point.
So, the turtle is now 11 - 1 = 10 meters away from the starting point.
### 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?

Llama 3 8B:

Reasoning: Chloe has 19/2 ounces of chocolate initially.
She eats 17/2 ounces, so she is left with 19/2 - 17/2 = 2/2 = 1 ounces.
### Answer: 1

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?

Llama 3 8B:

Reasoning: The original capacity of the backpack is 20/9 liters. The additional pouch can hold 8/4 = 2 liters. The total capacity of the backpack will be the original capacity plus the additional capacity, which is 20/9 + 2 = 20/9 + 2*1/4 = 20/9 + 1/2 = 40/9 + 1/2 = 40/9 + 1/2*9/9 = 40/9 + 9/18 = 40/9 + 5/9 = 45/9 = 5.
### Answer: 5 liters.

Expected answer: 38/9

Correct? No

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?

Llama 3 8B:

Reasoning: Captain Hook initially has 11/8 ounces of gold.
He finds an additional 5/5 ounces of gold, which can be simplified to 1 ounce.
The total weight of the gold Captain Hook now has is 11/8 + 1 = 11/8 + 8/8 = 19/8 ounces.
### Answer: 19/8 ounces.

Expected answer: 19/8

Correct? Yes

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?

Llama 3 8B:

Reasoning: Jake originally had 9/10 of a dollar, which is equal to 0.9 dollars.
He received an additional 20/15 of a dollar, which is equal to 4/3 dollars.
To find the total amount of money Jake has, we add the two amounts together: 0.9 + 4/3 = 0.9 + 1.33 = 2.23.
### Answer: 2.23

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?

Llama 3 8B:

Reasoning: The front portion of the chair is 5/2 feet high. To find the height of the front portion in decimal form, we can convert the fraction to a decimal: 5/2 = 2.5 feet.
The back portion of the chair is 20/14 feet high. To find the height of the back portion in decimal form, we can convert the fraction to a decimal: 20/14 = 1.42857142857143 feet (approximately).
The combined height of the front and back portions of the chair is 2.5 + 1.42857142857143 = 3.92857142857143 feet (approximately).
### Answer: 3.93 feet (approximately).

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?

Llama 3 8B:

Reasoning: John has 5 shirts initially.
He donated 12/9 of them, which is equivalent to 4/3 of them (since 12/9 = 4/3).
So, he donated 4/3 * 5 = 20/3 shirts.
He has 5 - 20/3 = 5 - 2 2/3 = 5 - 2.67 = 2.33 shirts left.
### Answer: 2.33

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?

Llama 3 8B:

Reasoning: Bob's original jacket length is 14/3 meters. He cuts off 14/16 meter from the original length. To find the length of the jacket after the alteration, we need to subtract 14/16 from 14/3.

First, we need to find a common denominator for 3 and 16, which is 48. So, we can rewrite the fractions as:

14/3 = 56/48
14/16 = 7/48

Now, we can subtract:

56/48 - 7/48 = 49/48

So, the length of Bob's jacket after the alteration is 49/48 meters.

### Answer: 49/48

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?

Llama 3 8B:

Reasoning: Officer Max spends 2/6 = 1/3 part of an hour completing paperwork.
Officer Max spends 14/7 = 2 parts of an hour patrolling the neighborhood.
Officer Max uses 1/3 + 2 = <<1/3+2=5/3>>5/3 parts of an hour for these two tasks.
### Answer: 5/3

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?

Llama 3 8B:

Reasoning: To convert the fractions to hours, we can divide the numerator by the denominator: 10/12 = 5/6 and 3/8 = 3/8.
John watched a movie for 5/6 of an hour and then watched a TV show for another 3/8 of an hour.
To find the total time, we can add the two fractions: 5/6 + 3/8 = 5/6 + 1.5/6 = 6.5/6 = 1 1/6.
### Answer: 1 1/6 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?

Llama 3 8B:

Reasoning: Mr. Carpenter takes 5/3 hours to build the frame and 10/13 hours to upholster it. To find the total time, we need to add these two times together.

First, we can find a common denominator for the fractions by multiplying both the numerator and denominator of 5/3 by 13 and multiplying both the numerator and denominator of 10/13 by 3. This gives us:

5/3 = 65/39
10/13 = 30/39

Now we can add the two times together:

65/39 + 30/39 = 95/39

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5:

95/39 = 19/7.7

So, it takes Mr. Carpenter 19/7.7 hours to build a chair from start to finish.

### Answer: 19/7.7 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?

Llama 3 8B:

Reasoning: The diameter of a small bead is 8/4 = 2 mm. The diameter of a large bead is 15/2 = 7.5 mm. The total added diameter is the sum of the diameters of the small and large beads, which is 2 + 7.5 = 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?

Llama 3 8B:

Reasoning: The rocket travels 11/18 light-years to the alien planet. To convert this to a decimal, we can divide the numerator by the denominator: 11 ÷ 18 = 0.6111... (repeating). So, the rocket travels 0.6111... light-years to the alien planet.

Then, the rocket travels another 8/2 light-years towards the distant star. To simplify this fraction, we can divide the numerator by the denominator: 8 ÷ 2 = 4. So, the rocket travels 4 light-years towards the distant star.

To find the total distance covered by the rocket, we add the distances traveled to the alien planet and towards the distant star: 0.6111... + 4 = 4.6111... (repeating).

### Answer: 4.6111... (repeating) light-years.

Expected answer: 83/18

Correct? No

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?

Llama 3 8B:

Reasoning: To find the total amount of fabric needed, we need to add the amount of fabric needed for the outer layer and the liner.

For the outer layer, Johnathan needs 12/14 yards of fabric. To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2.

12 ÷ 2 = 6
14 ÷ 2 = 7

So, the simplified fraction is 6/7 yards of fabric.

For the liner, Johnathan needs 8/5 yards of fabric. To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 1.

8 ÷ 1 = 8
5 ÷ 1 = 5

So, the simplified fraction is 8/5 yards of fabric.

Now, we can add the simplified fractions to find the total amount of fabric needed:

6/7 + 8/5

To add these fractions, we need to find a common denominator, which is 35.

6/7 = (6 × 5) / (7 × 5) = 30/35
8/5 = (8 × 7) / (5 × 7) = 56/35

Now, we can add the fractions:

30/35 + 56/35 = 86/35

So, Johnathan needs 86/35 yards of fabric in total to create his sleeping bag.

### Answer: 86/35

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?

Llama 3 8B:

Reasoning: To find the total acreage, we need to add the acreage of pine trees and oak trees.

The acreage of pine trees is 5/4 acres, which can be converted to a decimal by dividing the numerator by the denominator: 5 ÷ 4 = 1.25 acres.

The acreage of oak trees is 1/2 acre, which can also be converted to a decimal: 1 ÷ 2 = 0.5 acres.

Now, we can add the two decimals: 1.25 + 0.5 = 1.75 acres.

### Answer: 1.75 acres

Expected answer: 7/4

Correct? No

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?

Llama 3 8B:

Reasoning: Jake has 12/7 of a yard of fabric initially.
He finds another piece that measures 2/14 of a yard.
To combine both pieces, we need to convert them to a common denominator, which is 14.
12/7 = 12*2/7*2 = 24/14
So, Jake has 24/14 + 2/14 = 26/14 of a yard of fabric.
### Answer: 26/14

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?

Llama 3 8B:

Reasoning: The tree produces 10/4 = 2.5 kg of fruit in the summer.
The tree loses 12/20 = 0.6 kg of fruit in the winter.
The difference in kilograms of fruit from summer to winter is 2.5 - 0.6 = 1.9 kg.
### Answer: 1.9

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?

Llama 3 8B:

Reasoning: The ballerina's original routine is 13/5 minutes long. To shorten it by 15/16 minutes, we need to subtract 15/16 from 13/5.

First, we need to find a common denominator for 5 and 16, which is 80. So, we can rewrite the fractions as:

13/5 = 104/80
15/16 = 75/80

Now, we can subtract:

104/80 - 75/80 = 29/80

So, the ballerina's routine is shortened by 29/80 minutes. To find the new length of the routine, we subtract this from the original length:

13/5 - 29/80 = 13/5 - 29/80 = 104/80 - 29/80 = 75/80 = 3/4

The ballerina's routine is now 3/4 minutes long.

### Answer: 3/4

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?

Llama 3 8B:

Reasoning: Miss Daisy has 19/6 kg of fertilizers initially.
She uses 17/20 kg on her roses. To find the fraction of kg used, we need to find the common denominator, which is 60. So, 17/20 = 51/60 and 19/6 = 95/60.
She uses 51/60 kg on her roses, leaving her with 95/60 - 51/60 = 44/60 kg.
### Answer: 44/60 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?

Llama 3 8B:

Reasoning: The distance increases by 4/16 meters every year. This means that the distance increases by 1/4 meters every year. This year, there was an additional increase of 20/6 meters. To find the total change in distance, we add the two increases together: 1/4 + 20/6 = 3/12 + 20/6 = 1/4 + 10/6 = 1/4 + 5/3 = 7/12.
### Answer: 7/12

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?

Llama 3 8B:

Reasoning: To find the total amount of money Bob has, we need to add the amount in each pocket. First, we need to convert the fractions to decimals: 11/3 = 3.67 and 12/19 = 0.63.
Then, we add the two amounts: 3.67 + 0.63 = 4.30.
### Answer: 4.30

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?

Llama 3 8B:

Reasoning: The shark swims 5/5 miles in the morning, which is equal to 1 mile. Then, it swims an additional 12/18 miles in the afternoon. To find the value of 12/18, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 6. This gives us 2/3 miles. Therefore, the shark swims a total of 1 + 2/3 = 5/3 miles.
### Answer: 5/3

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?

Llama 3 8B:

Reasoning: Jim types 20 words in 16 seconds, so his rate is 20/16 = 5/4 = 1.25 words per second.
Mary types 9 words in 4 seconds, so her rate is 9/4 = 2.25 words per second.
The total rate is 1.25 + 2.25 = 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?

Llama 3 8B:

Reasoning: Let's first find the distance Max rode in the afternoon. He rode 1/9 miles less than in the morning, so we can set up an equation:

Afternoon distance = Morning distance - 1/9

We know the morning distance is 9/7 miles, so we can substitute:

Afternoon distance = (9/7) - 1/9

To simplify the fraction, we can find a common denominator, which is 63:

Afternoon distance = (63/7) - (7/9)
= (63 - 7)/9
= 56/9

So Max rode his scooter 56/9 miles in the afternoon.

### Answer: 56/9

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?

Llama 3 8B:

Reasoning: To convert the fractions to decimals, we can divide the numerator by the denominator: 9/8 = 1.125 and 2/10 = 0.2.
The clown rode the unicycle for 1.125 hours and juggled for 0.2 hours.
To find the total time, we add the two times: 1.125 + 0.2 = 1.325 hours.
### Answer: 1.325

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?

Llama 3 8B:

Reasoning: Timmy initially dumps 7/2 kg of sand into his sandbox. To find the initial amount of sand, we can multiply 7 by 1/2, which gives us 3.5 kg.
Later, Timmy adds another 1/2 kg of sand. To find the total amount of sand, we can add the initial amount to the additional amount: 3.5 + 1/2 = 4.
### 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?

Llama 3 8B:

Reasoning: To find the total amount of moon roots used, we can multiply the number of ounces required by the number of times it is used: 18/8 * 1 = 9/4 ounces.
To find the total amount of stardust used, we can multiply the number of ounces required by the number of times it is used: 11/7 * 1 = 11/7 ounces.
To find the total amount of ingredients used, we can add the amount of moon roots and stardust: 9/4 + 11/7 = 33/28 + 22/28 = 55/28 ounces.
### Answer: 55/28 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?

Llama 3 8B:

Reasoning: The UFO traveled 3/10 of a mile, which can be converted to a decimal by dividing the numerator by the denominator: 3 ÷ 10 = 0.3 miles.
Then, it traveled an additional 16/20 of a mile, which can be converted to a decimal by dividing the numerator by the denominator: 16 ÷ 20 = 0.8 miles.
To find the total distance traveled, add the two distances: 0.3 + 0.8 = 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?

Llama 3 8B:

Reasoning: The first machine makes 4/14 of a chair every hour, which is equivalent to 4/14 * 1 = 4/14 chairs.
The second machine makes 20/4 chairs every hour.
Total chairs made by both machines in one hour = 4/14 + 20/4 = 4/14 * 1 + 20/4 * 1 = 4/14 + 5 = 9/14 + 5 = 9/14 + 5*14/14 = 9/14 + 70/14 = 79/14 = 5 11/14.
### Answer: 5 11/14

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?

Llama 3 8B:

Reasoning: To find the total distance swum, we need to add the distances swum by each shark.

The blue shark swam 2/4 miles, which can be simplified to 1/2 miles.

The hammerhead shark swam 7/10 miles.

To add these distances, we need to find a common denominator, which is 20. So, we can rewrite the distances as:

Blue shark: 10/20 miles
Hammerhead shark: 14/20 miles

Now, we can add the distances:

10/20 + 14/20 = 24/20

This can be simplified to 6/5 miles.

### Answer: 6/5 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?

Llama 3 8B:

Reasoning: The first bottle has 8/18 gallons of milk, which can be simplified to 4/9 gallons. The second bottle has 18/8 gallons, which can be simplified to 9/4 gallons. To find the total amount of milk, we can add the two fractions:

(4/9) + (9/4) = ?

To add these fractions, we need a common denominator, which is 36. So, we can convert both fractions to have a denominator of 36:

(4/9) = (16/36)
(9/4) = (27/36)

Now we can add:

(16/36) + (27/36) = 43/36

So, Lisa has 43/36 gallons of milk in total.

### Answer: 43/36

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?

Llama 3 8B:

Reasoning: The tree grows 1/10 of its height every month. This means that the tree grows 1/10 of its current height, not a fixed amount.
The tree has grown 12/6 = 2 feet due to the fertilizer. This is an additional growth, not a part of the regular monthly growth.
### Answer: 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?

Llama 3 8B:

Reasoning: The area occupied by the large tent is 13/11 acres. To find the decimal equivalent, we can divide the numerator by the denominator: 13 ÷ 11 = 1.18.
The area occupied by the smaller tent is 8/20 acres. To find the decimal equivalent, we can divide the numerator by the denominator: 8 ÷ 20 = 0.4.
The total area occupied by both tents is the sum of the areas: 1.18 + 0.4 = 1.58.
### Answer: 1.58

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?

Llama 3 8B:

Reasoning: To find the total distance, we need to find the distance from the starting point to the treasure. The distance to the East is (17 / 20) km, and the distance to the North is (15 / 3) km. We can use the Pythagorean theorem to find the total distance:

√((17/20)^2 + (15/3)^2) = √((289/400) + (225/9)) = √((289+225)/400) = √(514/400) = √(257/200) = √(1.2857) ≈ 1.13 km

So, Captain Jack must travel approximately 1.13 km to reach the treasure.

### Answer: ≈ 1.13 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?

Llama 3 8B:

Reasoning: To find the total amount of firewood collected, we need to add the amounts collected by Sarah and Alex.

First, we need to convert both amounts to a common denominator, which is 140 (the least common multiple of 20 and 7).

Sarah collected 11/20 of a pound, which is equivalent to 77/140 pounds.

Alex collected 9/7 pounds, which is equivalent to 108/140 pounds.

Now, we can add the two amounts:

77/140 + 108/140 = 185/140

So, Sarah and Alex collected a total of 185/140 pounds of firewood.

### Answer: 185/140

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?

Llama 3 8B:

Reasoning: Captain Bill sailed 19/5 = 3.8 miles north initially.
He then sailed an additional 12/15 = 0.8 miles north.
The total distance sailed north is 3.8 + 0.8 = 4.6 miles.
### Answer: 4.6

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?

Llama 3 8B:

Reasoning: To find the total weight of the two types of meat per sandwich, we need to add the weight of ham and turkey.

First, we need to find the common denominator of the fractions. The least common multiple of 17 and 4 is 68. So, we can convert both fractions to have a denominator of 68:

Ham: 19/17 = (19 × 4)/(17 × 4) = 76/68
Turkey: 9/4 = (9 × 17)/(4 × 17) = 153/68

Now, we can add the weights:

Total weight = 76/68 + 153/68 = (76 + 153)/68 = 229/68

### Answer: 229/68

Expected answer: 229/68

Correct? Yes

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?

Llama 3 8B:

Reasoning: The original length of the sleeping bag is 18/19 meters. The extension is 8/11 meters. To find the total length, we need to add the original length and the extension.

First, we need to convert the extension to the same denominator as the original length. To do this, we can multiply the numerator and denominator of the extension by 19:

8/11 = (8 × 19)/(11 × 19) = 152/209

Now we can add the original length and the extension:

18/19 + 152/209 = (18 × 209) + (152 × 19) / (19 × 209) = 3756 + 2888 / 3611 = 6644/3611

### Answer: 6644/3611

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?

Llama 3 8B:

Reasoning: Sarah pours 10/13 gallon of water initially.
Then she adds another 8/2 = 4 gallons of water.
Total gallons of water = 10/13 + 4 = 10/13 + 40/13 = 50/13 = 3 7/13.
### Answer: 3 7/13

Expected answer: 62/13

Correct? No

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?

Llama 3 8B:

Reasoning: Mandy has 9/2 = 4.5 KGs of apples initially.
She uses 1/4 = 0.25 KGs of apples to make apple pie.
So, she has 4.5 - 0.25 = 4.25 KGs of apples left.
### Answer: 4.25

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?

Llama 3 8B:

Reasoning: John spent 12/7 hours fixing the watch. To convert this to a decimal, we can divide the numerator by the denominator: 12 ÷ 7 = 1.714285714... (rounded to 1.71). So, John spent approximately 1.71 hours fixing the watch.

John then spent an additional 3/9 hours polishing the watch. To convert this to a decimal, we can divide the numerator by the denominator: 3 ÷ 9 = 0.333333333... (rounded to 0.33). So, John spent approximately 0.33 hours polishing the watch.

In total, John spent 1.71 + 0.33 = 2.04 hours working on the watch.

### Answer: 2.04

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?

Llama 3 8B:

Reasoning: Peggy swam 5/4 miles initially, then swam 1/12 miles back. So, she is 5/4 - 1/12 = 11/12 miles away from her family.
### Answer: 11/12

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?

Llama 3 8B:

Reasoning: The farmer has a field that is 4 acres, and another part that is 11/12 of an acre. To find the total area, we need to convert the fraction to a decimal: 11/12 = 0.9167 (approximately).

Then, we add the two areas together: 4 acres + 0.9167 acres = 4.9167 acres

### Answer: 4.9167 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?

Llama 3 8B:

Reasoning: To find the total amount of fabric used, we need to add the amount of red fabric and the amount of blue fabric.

First, we can simplify the fraction of red fabric by dividing both the numerator and the denominator by their greatest common divisor, which is 1:

11/4 = 11/4

Next, we can add the simplified fraction of red fabric and the fraction of blue fabric:

11/4 + 5/17 = ?

To add these fractions, we need to find a common denominator, which is 68 (the least common multiple of 4 and 17). Then, we can convert both fractions to have a denominator of 68:

11/4 = 187/68
5/17 = 130/68

Now we can add the fractions:

187/68 + 130/68 = 317/68

So, the total amount of fabric used is 317/68 yards.

### Answer: 317/68

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?

Llama 3 8B:

Reasoning: Jacob has 11/2 = 5.5 feet of guitar wire initially.
He uses 5/16 = 0.3125 feet of it to fix a guitar.
So, the remaining wire is 5.5 - 0.3125 = 5.1875 feet.
### Answer: 5.1875

Expected answer: 83/16

Correct? Yes

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?

Llama 3 8B:

Reasoning: Samantha has 4 fluid ounces initially.
She uses 17/14 fluid ounces in one week.
To find the amount used, we can convert the fraction to a decimal: 17/14 = 1.214285714... (repeating decimal).
So, she uses approximately 1.214 fluid ounces.
To find the amount left, we subtract the amount used from the initial amount: 4 - 1.214 = 2.786 fluid ounces.
### Answer: 2.786 fluid ounces.

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?

Llama 3 8B:

Reasoning: Maria gives each of her 6 friends an equal amount of candies, so each friend gets 12/6 = 2 candies.
Maria gives each of her 20 friends a sticker, so each friend gets 1 sticker.
Each friend gets 2 candies + 1 sticker = 3 candies and stickers in total.
### 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?

Llama 3 8B:

Reasoning: The first rainfall lasted for 4/13 hours, and the next rainfall was a little longer and lasted for 11/5 hours. To find the total time it rained, we add the two times together:

4/13 + 11/5 = (4 × 5) / (13 × 5) + 11/5 = 20/65 + 11/5 = (20 + 33) / 65 = 53/65

So, it rained for 53/65 hours in total.

### Answer: 53/65

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?

Llama 3 8B:

Reasoning: Jane cuts 10/12 yards of fabric initially, which is equivalent to 5/6 yards (since 10/12 = 5/6).
Then, she cuts an additional 10/10 yard, which is equal to 1 yard.
In total, Jane cuts 5/6 + 1 = 11/6 yards of fabric.
### Answer: 11/6

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?

Llama 3 8B:

Reasoning: The fairy sprinkles 11/12 oz of magic dust over the enchanted field. To find the decimal equivalent, we can divide the numerator by the denominator: 11 ÷ 12 = 0.9166666666666667 oz. Then, she sprinkles an additional 9/10 oz of dust over the grove of enchanted apple trees. To find the decimal equivalent, we can divide the numerator by the denominator: 9 ÷ 10 = 0.9 oz. The total amount of magic dust the fairy used is the sum of the amounts she used for the field and the trees: 0.9166666666666667 oz + 0.9 oz = 1.8166666666666667 oz.
### Answer: 1.8166666666666667 oz.

Expected answer: 109/60

Correct? No

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?

Llama 3 8B:

Reasoning: For each vowel, you get 3/11 of a point. Since you use 1 vowel, you get 3/11 of a point.
For each consonant, you get 8/10 of a point. Since you use 1 consonant, you get 8/10 of a point.
Total score = 3/11 + 8/10 = <<(3/11) + (8/10)>>= <<(30+88)/110>>= <<118/110>>= 1 8/110.
### Answer: 1 8/110.

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?

Llama 3 8B:

Reasoning: The original letter is 4/1 pages long, which is equivalent to 4 + 1/4 = 4.25 pages. After removing 14/9 pages, the letter is left with 4.25 - 14/9 pages.

To find the decimal equivalent of 14/9, we can divide the numerator by the denominator: 14 ÷ 9 = 1.555...

So, the letter is left with 4.25 - 1.555... = 2.695... pages.

Since we can't have a fraction of a page, we round down to the nearest whole number, which is 2 pages.

### Answer: 2

Expected answer: 22/9

Correct? No

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?

Llama 3 8B:

Reasoning: Anne painted 16/20 of the table, which is equal to 0.8 or 80%.
Bob painted an additional 5/20 of the table, which is equal to 0.25 or 25%.
The total amount of the table that has been painted is the sum of the amounts painted by Anne and Bob, which is 80% + 25% = 105%.
### Answer: 105%

Expected answer: 21/20

Correct? No

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?

Llama 3 8B:

Reasoning: Alpha shines 17/3 times brighter than an average star, which means it shines 17/3 - 1 = 5.67 times brighter than an average star.
Bravo shines 20/16 times as bright, which means it shines 20/16 - 1 = 1.25 times brighter than an average star.
Adding the relative brightness of both stars, we get 5.67 + 1.25 = 6.92 times brighter than an average star.
### Answer: 6.92

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?

Llama 3 8B:

Reasoning: To find the total weight of red apples, we can convert the fraction to a decimal by dividing the numerator by the denominator: 17/20 = 0.85 kg.
To find the total weight of green apples, we can convert the fraction to a decimal by dividing the numerator by the denominator: 18/8 = 2.25 kg.
The total weight of apples is the sum of the red and green apples: 0.85 kg + 2.25 kg = 3.1 kg.
### 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?

Llama 3 8B:

Reasoning: The bus drives 12/20 of a mile, which can be simplified to 3/5 of a mile.
The bus then drives an additional 12/12 of a mile, which is equal to 1 mile.
The total distance traveled by the bus is the sum of these two distances: 3/5 + 1 = 8/5 miles.
### Answer: 8/5

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?

Llama 3 8B:

Reasoning: The shark swims 3/9 miles in the first hour. To find the total distance swum in the first hour, we can multiply the distance by the number of hours: 3/9 × 1 = 1/3 miles.
The shark swims 13/5 miles in the second hour. To find the total distance swum in the second hour, we can multiply the distance by the number of hours: 13/5 × 1 = 13/5 miles.
The total distance swum by the shark in two hours is the sum of the distances swum in each hour: 1/3 + 13/5 = 15/15 + 26/15 = 41/15 miles.
### Answer: 41/15

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?

Llama 3 8B:

Reasoning: The time it takes for the drummer to hit the first beat is 17/17 seconds, which simplifies to 1 second.
The time it takes for the drummer to hit the second beat is 2/12 seconds, which simplifies to 1/6 seconds.
The total time it takes for the drummer to hit both beats together is 1 + 1/6 = 1 1/6 seconds.
### Answer: 1 1/6 seconds.

Expected answer: 7/6

Correct? Yes

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?

Llama 3 8B:

Reasoning: The fireplace burns 12/17 cord of wood in the morning and 8/19 cord in the evening. To find the total cord of wood burned in a day, we need to add these two fractions.

First, we need to find a common denominator for the two fractions. The least common multiple of 17 and 19 is 323. So, we can convert both fractions to have a denominator of 323:

12/17 = 228/323
8/19 = 152/323

Now, we can add the two fractions:

228/323 + 152/323 = 380/323

So, the total cord of wood burned in a day is 380/323 cord.

### Answer: 380/323

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?

Llama 3 8B:

Reasoning: To find the total length of the flight, we need to add the lengths of the two segments. The first segment is 18/19 of a mile, and the second segment is 9/17 of a mile.

To add these fractions, we need to find a common denominator, which is 19*17 = 323. So, we can rewrite the fractions as:

18/19 = 342/323
9/17 = 171/323

Now we can add the numerators:

342 + 171 = 513

So, the total length of the flight is 513/323 of a mile.

### Answer: 513/323

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?

Llama 3 8B:

Reasoning: The distance between the first and second city is 13/10 inches. The distance between the second and third city is 14/15 inches. To find the total distance, we add these two distances together: 13/10 + 14/15 = 169/150.
### Answer: 169/150

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?

Llama 3 8B:

Reasoning: The initial speed of the balloon is 13/6 feet per second. After the gust of wind, its speed increases by 3/16 feet per second. To find the new speed, we add the initial speed and the increase in speed:

(13/6) + (3/16) = (52/24) + (3/16) = (52 + 3)/24 = 55/24

### Answer: 55/24 feet 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?

Llama 3 8B:

Reasoning: Scarlett has 16/10 = 1.6 gallons of red paint initially.
She uses 1/20 = 0.05 gallons for the art project.
To find the amount of paint left, subtract the amount used from the initial amount: 1.6 - 0.05 = 1.55 gallons.
### Answer: 1.55

Expected answer: 31/20

Correct? Yes

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?

Llama 3 8B:

Reasoning: Susie eats 2/5 of a chocolate bar, which is equivalent to 0.4 chocolate bars (since 2/5 = 0.4).
She has 12 chocolate bars initially, and eats 0.4 chocolate bars, so she has 12 - 0.4 = 11.6 chocolate bars left.
Since you can't have a fraction of a chocolate bar, we round down to the nearest whole number, which is 11.
### Answer: 11

Expected answer: 58/5

Correct? No

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?

Llama 3 8B:

Reasoning: The plane is initially at an altitude of 2 miles. It descends by 10/15 of a mile, which is equivalent to 2/3 of a mile (since 10/15 = 2/3).

New altitude = Initial altitude - Descended altitude
= 2 miles - (2/3) mile
= 2 miles - 0.666... miles (approximately)
= 1.333... miles (approximately)

### Answer: 1.33 miles

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?

Llama 3 8B:

Reasoning: The child slid 6/19 meters on the first slide, and 17/4 meters on the second slide. To find the total distance, we can add the two distances together:

6/19 + 17/4

To add these fractions, we need to find a common denominator, which is 76. So, we can rewrite the fractions as:

3/38 + 17/4

Now we can add:

3/38 + 17/4 = (3*19) / (38*4) + 17/4 = 57/152 + 17/4

To add these fractions, we need to find a common denominator, which is 152. So, we can rewrite the fractions as:

57/152 + 76/152

Now we can add:

57/152 + 76/152 = 133/152

So, the total distance the child slid is 133/152 meters.

### Answer: 133/152

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?

Llama 3 8B:

Reasoning: The fireplace burns 4/15 cords per hour in the early morning, and 14/15 cords per hour in the late night.
The total amount of firewood burned in one hour is the sum of the amount burned in the early morning and the late night: 4/15 + 14/15 = 18/15 = 1 3/15 = 1.2/1 = 1 2/10 = 1.2.
### Answer: 1.2

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?

Llama 3 8B:

Reasoning: The alien travelled 9/20 of a light year initially. To find the total distance travelled, we can multiply this by the fraction of a light year: 9/20 × 1 = 9/20 light year.
The alien then travelled another 11/7 light years. To find the total distance travelled, we can add this to the initial distance: 9/20 + 11/7 = 63/140 + 110/140 = 173/140 light year.
### Answer: 173/140

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?

Llama 3 8B:

Reasoning: Bob has 10/2 = 5/2 = 2.5/1 = 2 1/2 of a cucumber.
Bob adds 1/7 of another cucumber, which is 1/7 = 0.14 (approximately).
Bob has 2.5 + 0.14 = 2.64 (approximately) of a cucumber.
### Answer: 2 2/7

Expected answer: 36/7

Correct? No