Problem: Calculate the product of (29/2) and (19/28) and write your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the product of (29/2) and (19/28), we need to multiply the numerators and denominators separately.

Numerator: 29 x 19 = 561
Denominator: 2 x 28 = 56

So, the product of (29/2) and (19/28) is 561/56, which can be simplified to 10/7.

Therefore, the simplified fraction is 10/7.

Expected answer: 551/56

Correct? No

Problem: Calculate the result of the following problem: multiply 7 by the result of dividing 27 by 12. Write your answer as a simplified fraction.

CodeLlama 34B:

  To solve this problem, we need to follow the order of operations (PEMDAS):

1. Divide 27 by 12: 27 ÷ 12 = 2
2. Multiply 7 by the result of step 1: 7 × 2 = 14

Therefore, the result of the problem is 14.

### Answer: 14

Expected answer: 63/4

Correct? No

Problem: Susan has a recipe that calls for 30 parts of flour to 27 parts of water. If she decides to use 29 parts of flour instead, and she keeps the water proportion the same, how much water will she use? Calculate this using fraction multiplication: ((30 / 30) * (29 / 27)).

CodeLlama 34B:

  To find out how much water Susan will use, we need to multiply the number of parts of flour she is using by the proportion of water to flour.

We can do this by multiplying 29/27 by 30/30, which gives us:

(29/27) * (30/30) = 29/27

So, Susan will use 29/27 of the original amount of water.

Expected answer: 29/27

Correct? Yes

Problem: Calculate the result of the following operation: ((24 / 22) * (24 / 17)). Write your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result of the operation, we need to follow the order of operations (PEMDAS):

1. Divide 24 by 22: 24 ÷ 22 = 1
2. Divide 24 by 17: 24 ÷ 17 = 1 3/17
3. Multiply the results: 1 × 1 3/17 = 1 3/17

Therefore, the result of the operation is 1 3/17.

Expected answer: 288/187

Correct? No

Problem: What is the result when you divide 25/4 by 16/6? Please write your answer as a simplified fraction.

CodeLlama 34B:

  To divide 25/4 by 16/6, we need to find the least common multiple (LCM) of 4 and 6, which is 12. Then, we can convert both fractions to have a denominator of 12:

25/4 = 25/12 = <<25/12=2>>2
16/6 = 16/12 = <<16/12=1>>1

Now, we can divide the two fractions:

2 / 1 = <<2/1=2>>2

Therefore, the result of dividing 25/4 by 16/6 is 2.

Expected answer: 75/32

Correct? No

Problem: Determine the result of the following: Multiply the fraction 3/7 by the fraction 26/6 and express your answer as a simplified fraction.

CodeLlama 34B:

  To multiply two fractions, we need to follow the order of operations. First, we multiply the numerators (the numbers on top) and then we multiply the denominators (the numbers on the bottom).

So, to multiply 3/7 by 26/6, we get:

3 x 26 = 84
7 x 6 = 42

Now we have:

84/42 = 2/3

Therefore, the result of multiplying 3/7 by 26/6 is 2/3.

Expected answer: 13/7

Correct? No

Problem: Calculate the result of the expression (17 / 10) * (28 / 10) and write your answer in decimal form.

CodeLlama 34B:

  To calculate the result of the expression (17 / 10) * (28 / 10), we need to follow the order of operations (PEMDAS):

1. Divide 17 by 10: 17 ÷ 10 = 1.7
2. Divide 28 by 10: 28 ÷ 10 = 2.8
3. Multiply the results: 1.7 × 2.8 = 4.84

Therefore, the result of the expression (17 / 10) * (28 / 10) is 4.84 in decimal form.

Expected answer: 119/25

Correct? No

Problem: Determine the value of the given expression: ((29 / 14) * (23 / 6))

CodeLlama 34B:

  To evaluate the expression ((29 / 14) * (23 / 6)), we need to follow the order of operations (PEMDAS):

1. Parentheses: Inside the parentheses, we have (29 / 14) and (23 / 6).
2. Exponents (none in this case).
3. Multiplication: We multiply the two expressions inside the parentheses.
4. Division: We divide the result of the multiplication by 14.

So, the value of the expression is:

((29 / 14) * (23 / 6)) = (29 / 14) * 23 / 6 = 29 / 14 * 23 / 6 = 29 * 23 / 14 * 6 = 587 / 84 = 6.916666666666667

Therefore, the value of the given expression is 6.916666666666667.

Expected answer: 667/84

Correct? No

Problem: Calculate the answer for ((18 / 19) * (19 / 6)) and write the result as a simplified fraction.

CodeLlama 34B:

  To calculate the answer, we need to perform the following steps:

1. Multiply 18 by 19: 18 × 19 = 342
2. Multiply 19 by 6: 19 × 6 = 114
3. Divide 342 by 114: 342 ÷ 114 = 3

Therefore, the simplified fraction is 3/1.

Expected answer: 3

Correct? Yes

Problem: Calculate the result of the multiplication of the fraction 19/12 by 20/6. Write your final answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result of the multiplication of the fraction 19/12 by 20/6, we need to follow the order of operations.

First, we multiply the numerators: 19 x 20 = 380

Next, we multiply the denominators: 12 x 6 = 72

Finally, we simplify the fraction by dividing the numerator and denominator by the greatest common divisor (GCD) of the numerator and denominator: 380 / 72 = 5

Therefore, the result of the multiplication of the fraction 19/12 by 20/6 is 5.

Expected answer: 95/18

Correct? No

Problem: A cargo ship carries 28/21 of its capacity in the morning, and 22/4 of its capacity in the afternoon. If the cargo in the morning represents the load allocated to consumer goods and the cargo in the afternoon represents industrial supplies, what is the total fractional representation of these two types of cargo hauled in one day? Calculate ((28 / 21) * (22 / 4)). Write your answer as a simplified fraction.

CodeLlama 34B:

  The total fractional representation of these two types of cargo hauled in one day can be calculated as follows:

((28 / 21) * (22 / 4)) = (140 / 84)

Simplifying the fraction, we get:

(140 / 84) = (7 / 4)

Therefore, the total fractional representation of consumer goods and industrial supplies hauled in one day is 7/4.

Expected answer: 22/3

Correct? No

Problem: Determine the result of the following mathematical expression: (16 / 4) / (24 / 21). Write your answer as a simplified fraction or decimal.

CodeLlama 34B:

  To evaluate this expression, we need to follow the order of operations (PEMDAS):

1. Divide 16 by 4: 16 ÷ 4 = 4
2. Divide 24 by 21: 24 ÷ 21 = 1 1/3
3. Divide the result of step 1 by the result of step 2: 4 ÷ 1 1/3 = 4 2/3

Therefore, the result of the expression is 4 2/3.

Expected answer: 7/2

Correct? No

Problem: Calculate the product of the fractions 5/27 and 15/2. Write your answer in the simplest form.

CodeLlama 34B:

  To calculate the product of the fractions 5/27 and 15/2, we need to multiply the numerators (5 and 15) and multiply the denominators (27 and 2).

5/27 x 15/2 = (5 x 15) / (27 x 2)
= 75 / 54

In simplest form, 75/54 = 3/4.

Therefore, the product of the fractions 5/27 and 15/2 is 3/4.

Expected answer: 25/18

Correct? No

Problem: Calculate the result of the following product of fractions: (15 / 13) * (19 / 7). Make sure to write your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result of the product of fractions, we need to follow the order of operations (PEMDAS):

1. Multiply the numerators: 15 × 19 = 285
2. Multiply the denominators: 13 × 7 = 91
3. Simplify the fraction, if possible: 285/91 = 31/7

Therefore, the result of the product of fractions is 31/7.

Expected answer: 285/91

Correct? Yes

Problem: Calculate the product of the fractions 23/22 and 27/20. Express your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the product of the fractions 23/22 and 27/20, we need to multiply the numerators (23 and 27) and multiply the denominators (22 and 20).

23 x 27 = 621
22 x 20 = 440

Now, we need to simplify the fraction by dividing the numerator and denominator by the greatest common divisor (GCD) of the numerator and denominator.

GCD(621, 440) = 3

So, the simplified fraction is:

621 / 3 = 207
440 / 3 = 148

Therefore, the product of the fractions 23/22 and 27/20 is 207/148.

Expected answer: 621/440

Correct? No

Problem: Calculate the result of the following operation: (12 / 25) * (20 / 4). Write your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result of the operation, we need to follow the order of operations (PEMDAS):

1. Divide 12 by 25: 12 ÷ 25 = 0.48
2. Divide 20 by 4: 20 ÷ 4 = 5
3. Multiply the results: 0.48 × 5 = 2.4

Therefore, the result of the operation is 2.4.

As a simplified fraction, we can write 2.4 as 24/10.

Expected answer: 12/5

Correct? Yes

Problem: Calculate the following operation: multiply the fraction 14/10 by the fraction 30/5. Write your answer as a simplified fraction.

CodeLlama 34B:

  To multiply two fractions, we need to follow the order of operations. First, we multiply the numerators (the numbers on top) and then we multiply the denominators (the numbers on the bottom).

14/10 x 30/5 = (14 x 30) / (10 x 5)

= 420 / 50

= 84 / 5

Therefore, the simplified fraction is 84/5.

Expected answer: 42/5

Correct? No

Problem: A baker is preparing a large batch of cookies that requires 26 cups of sugar per each full batch. If he only has enough sugar to make a fraction of the batch, represented by 29/14 of a full batch, how many batches of cookies can the baker make? Calculate this as ((26 / 1) / (29 / 14)). Write your answer as a simplified fraction.

CodeLlama 34B:

  To find out how many batches of cookies the baker can make, we need to divide the number of cups of sugar he has by the number of cups of sugar required for a full batch.

We can do this by dividing 26 by 29/14, which simplifies to 26/29.

So, the baker can make 26/29 batches of cookies.

Expected answer: 364/29

Correct? No

Problem: Evaluate the following expression: (27 / 10) * (9 / 4). Write your answer as a simplified fraction.

CodeLlama 34B:

  To evaluate the expression, we need to follow the order of operations (PEMDAS):

1. Divide 27 by 10: 27 ÷ 10 = 2.7
2. Divide 9 by 4: 9 ÷ 4 = 2.25
3. Multiply the results: 2.7 × 2.25 = 6.375

Therefore, the simplified fraction is 6 3/4.

Expected answer: 243/40

Correct? No

Problem: Evaluate the expression ((24 / 11) * (27 / 26)) and write your answer as a simplified fraction.

CodeLlama 34B:

  To evaluate the expression ((24 / 11) * (27 / 26)), we need to follow the order of operations (PEMDAS):

1. Parentheses: Inside the parentheses, we have (24 / 11) and (27 / 26).
2. Exponents (none in this case).
3. Multiplication: We multiply the two fractions together.

So, we have:

((24 / 11) * (27 / 26)) = (24 / 11) * 27 / 26
= 24 * 27 / 11 * 26
= 672 / 276

To simplify this fraction, we can divide both the numerator and denominator by the greatest common divisor (GCD) of the two numbers, which is 3:

672 / 276 = 224 / 92

Therefore, the simplified fraction is 224/92.

Expected answer: 324/143

Correct? No

Problem: Find the solution to the following multiplication problem: Multiply the fraction 26/9 by the fraction 17/13. Write your answer in simplest form.

CodeLlama 34B:

  To multiply two fractions, we need to multiply the numerators (the numbers on top) and multiply the denominators (the numbers on the bottom). Then, we simplify the fraction by dividing the numerator and denominator by the greatest common divisor (GCD) of the two numbers.

In this case, the numerator of the first fraction is 26, and the denominator is 9. The numerator of the second fraction is 17, and the denominator is 13.

To multiply the fractions, we multiply the numerators and multiply the denominators:

26 × 17 = 442
9 × 13 = 117

Next, we simplify the fraction by dividing the numerator and denominator by the GCD:

442 ÷ 2 = 221
117 ÷ 1 = 117

Therefore, the solution to the multiplication problem is 221/117 in simplest form.

Expected answer: 34/9

Correct? No

Problem: Solve the following problem: What is the result of the expression (28 / 16) / (27 / 24)? Write your answer as a simplified fraction.

CodeLlama 34B:

  To solve this problem, we need to follow the order of operations (PEMDAS):

1. Divide 28 by 16: 28 ÷ 16 = 1 12/16
2. Divide 27 by 24: 27 ÷ 24 = 1 3/4
3. Divide the results: 1 12/16 ÷ 1 3/4 = 1 15/16

Therefore, the result of the expression is 1 15/16.

Expected answer: 14/9

Correct? No

Problem: Calculate the expression ((15 / 3) * (19 / 26)) and write your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the expression ((15 / 3) * (19 / 26)), we need to follow the order of operations (PEMDAS):

1. Parentheses: Inside the parentheses, we have (15 / 3) and (19 / 26).
2. Exponents (none in this case).
3. Multiplication: We multiply the two fractions together.
4. Division (none in this case).

So, we have:

((15 / 3) * (19 / 26)) = (5 * 19) / (3 * 26)
= 95 / 81

To simplify this fraction, we can cancel out the greatest common divisor (GCD) of the numerator and denominator, which is 7:

95 / 81 = 13 / 17

Therefore, the simplified fraction is 13/17.

Expected answer: 95/26

Correct? No

Problem: The local bakery was making a special order for a customer. The recipe they are using requires 19/28, and they want to make exactly 30/4 of this recipe. How much of the ingredient will they require?

CodeLlama 34B:

  To find out how much of the ingredient the bakery will require, we need to first find out how many servings of the recipe they will be making.

To do this, we can multiply the number of servings they want to make (30/4) by the number of servings per recipe (19/28):

30/4 x 19/28 = 15/14

So, the bakery will be making 15/14 servings of the recipe.

Next, we need to find out how much of the ingredient is required for each serving. We can do this by dividing the total amount of ingredient required (19/28) by the number of servings:

19/28 ÷ 15/14 = 19/15

So, the bakery will require 19/15 of the ingredient for each serving.

Finally, we can multiply the amount of ingredient required for each serving by the number of servings they will be making to find out how much of the ingredient they will require in total:

19/15 x 15/14 = 19/14

Therefore, the bakery will require 19/14 of the ingredient for the special order.

Expected answer: 285/56

Correct? No

Problem: Determine the result of ((5 / 2) / (26 / 15)). Write the final answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result of ((5 / 2) / (26 / 15)), we need to follow the order of operations (PEMDAS):

1. Divide 5 by 2: 5 ÷ 2 = 2.5
2. Divide 26 by 15: 26 ÷ 15 = 1.7333...
3. Divide the result of step 1 by the result of step 2: 2.5 ÷ 1.7333... = 1.4594...

Therefore, the result of ((5 / 2) / (26 / 15)) is 1.4594...

To simplify this fraction, we can multiply both the numerator and the denominator by the least common multiple (LCM) of the denominators:

1.5999... x 10 = 15.999...
1.7333... x 10 = 17.333...

Therefore, the simplified fraction is 15.999... / 17.333...

### Answer: 15.999... / 17.333...

Expected answer: 75/52

Correct? No

Problem: Calculate the result of the expression (9/3) * (27/28) and write your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result of the expression (9/3) * (27/28), we need to multiply the numerator of the first fraction by the numerator of the second fraction, and the denominator of the first fraction by the denominator of the second fraction.

(9/3) * (27/28) = (9*27) / (3*28)
= 243 / 84
= 243/84

Therefore, the result of the expression (9/3) * (27/28) is 243/84, which is a simplified fraction.

Expected answer: 81/28

Correct? Yes

Problem: Calculate the solution to the following equation and write your answer as a simplified fraction: ((15 / 13) * (24 / 24))

CodeLlama 34B:

  To calculate the solution to the equation, we need to follow the order of operations (PEMDAS):

1. Multiply the numerators: 15 × 24 = 360
2. Multiply the denominators: 13 × 24 = 312
3. Divide the products: 360 ÷ 312 = 11/13

Therefore, the solution to the equation is 11/13.

Expected answer: 15/13

Correct? No

Problem: Calculate the result of the following multiplication of fractions operation: (9 / 7) * (25 / 30). Express your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result of the multiplication of fractions, we need to follow the correct order of operations.

First, we multiply the numerators (9 and 25) to get 225.

Then, we multiply the denominators (7 and 30) to get 210.

Finally, we simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD), which is 3.

Therefore, the result of the multiplication of fractions is 75/21.

### Answer: 75/21

Expected answer: 15/14

Correct? No

Problem: Calculate the result of the problem ((9 / 8) / (20 / 18)). Write your final answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result of the problem, we need to follow the order of operations (PEMDAS):

1. Divide 9 by 8: 9 ÷ 8 = 1 1/8
2. Divide 20 by 18: 20 ÷ 18 = 1 1/9
3. Divide the results of steps 1 and 2: 1 1/8 ÷ 1 1/9 = 9/8

Therefore, the result of the problem is 9/8, which can be simplified to 1 1/4.

Expected answer: 81/80

Correct? No

Problem: What is the result of performing the operation (30 / 6) / (13 / 9)? Write your answer as a simplified number or fraction.

CodeLlama 34B:

  To perform the operation, we need to follow the order of operations (PEMDAS):

1. Divide 30 by 6: 30 ÷ 6 = 5
2. Divide 13 by 9: 13 ÷ 9 = 1
3. Divide the result of step 1 by the result of step 2: 5 ÷ 1 = 5

Therefore, the result of performing the operation (30 / 6) / (13 / 9) is 5.

Expected answer: 45/13

Correct? No

Problem: If you divide 30 by 18 and then multiply the result by the fraction 18/6, what is the result?

CodeLlama 34B:

  If you divide 30 by 18, you get 1 1/3.

If you multiply 1 1/3 by the fraction 18/6, you get 1 1/3 x 3 = 3 1/9.

So the result is 3 1/9.

Expected answer: 5

Correct? No

Problem: Calculate the result of the following problem: ((20 / 2) * (2 / 18)) and write the answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result of the problem, we need to follow the order of operations (PEMDAS):

1. Divide 20 by 2: 20 / 2 = 10
2. Divide 2 by 18: 2 / 18 = 1/9
3. Multiply 10 by 1/9: 10 * 1/9 = 1/9

Therefore, the result of the problem is 1/9.

Expected answer: 10/9

Correct? No

Problem: Solve the following problem and write your answer as a simplified fraction: ((11 / 9) * (29 / 6))

CodeLlama 34B:

  To solve this problem, we need to follow the order of operations (PEMDAS):

1. Multiply the numerators: 11 × 29 = 309
2. Multiply the denominators: 9 × 6 = 54
3. Divide the product of the numerators by the product of the denominators: 309 ÷ 54 = 5 5/18

Therefore, the simplified fraction is 5 5/18.

Expected answer: 319/54

Correct? No

Problem: Calculate the result for the following mathematical operation: (30 / 7) * (16 / 19). Express your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result of the mathematical operation, we need to follow the order of operations (PEMDAS):

1. Divide 30 by 7: 30 ÷ 7 = 4
2. Divide 16 by 19: 16 ÷ 19 = 0.8421
3. Multiply the results: 4 × 0.8421 = 3.37

Therefore, the result of the mathematical operation is 3.37.

As a simplified fraction, we can write 3.37 as 13/4.

Expected answer: 480/133

Correct? No

Problem: Calculate the product of 25/22 and 20/3 and write your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the product of 25/22 and 20/3, we need to multiply the numerators (25 and 20) and multiply the denominators (22 and 3).

25/22 x 20/3 = (25 x 20) / (22 x 3)
= 500 / 66
= 7 / 11

Therefore, the product of 25/22 and 20/3 is 7/11, which is a simplified fraction.

Expected answer: 250/33

Correct? No

Problem: Calculate the result of the following problem and write your answer as a simplified fraction: ((29 / 2) / (23 / 19))

CodeLlama 34B:

  To calculate the result of the problem, we need to follow the order of operations (PEMDAS):

1. Divide 29 by 2: 29 / 2 = 14
2. Divide 23 by 19: 23 / 19 = 1
3. Divide 14 by 1: 14 / 1 = 14

Therefore, the result of the problem is 14.

As a simplified fraction, we can write 14 as 14/1.

Expected answer: 551/46

Correct? No

Problem: Calculate the solution for the following expression: (5 / 3) * (27 / 13) and write your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the solution for the expression (5 / 3) * (27 / 13), we need to follow the order of operations (PEMDAS):

1. Multiply the two fractions: (5 / 3) * (27 / 13) = (5 * 27) / (3 * 13)
2. Simplify the fraction: (135) / (39) = 35 / 13

Therefore, the simplified fraction is 35/13.

Expected answer: 45/13

Correct? No

Problem: Calculate the answer to the following problem: (29 / 29) * (1 / 1) and write your answer.

CodeLlama 34B:

  To calculate the answer to the problem, we need to follow the order of operations (PEMDAS):

1. Divide 29 by 29: 29 ÷ 29 = 1
2. Multiply 1 by 1: 1 × 1 = 1

Therefore, the answer to the problem is 1.

Expected answer: 1

Correct? Yes

Problem: Calculate the product of the fractions 11/19 and 22/7. Write your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the product of the fractions 11/19 and 22/7, we need to multiply the numerators (11 and 22) and multiply the denominators (19 and 7).

11 x 22 = 242
19 x 7 = 133

The product of the fractions is 242/133. To simplify this fraction, we can divide both the numerator and denominator by the greatest common divisor (GCD) of the two numbers, which is 11.

242 ÷ 11 = 22
133 ÷ 11 = 12

Therefore, the simplified fraction is 22/12.

Expected answer: 242/133

Correct? No

Problem: What is the result of multiplying 21/30 by 19/5? Write your answer as a simplified fraction.

CodeLlama 34B:

  To multiply 21/30 by 19/5, we need to first find the common denominator (LCD) of the two fractions. The LCD of 30 and 5 is 60.

So, we can rewrite the fractions as:

21/30 = 21/60
19/5 = 19/60

Now, we can multiply the fractions:

21/60 × 19/60 = 399/3600

Therefore, the result of multiplying 21/30 by 19/5 is 399/3600.

Expected answer: 133/50

Correct? No

Problem: What is the result when you multiply the fraction 11/15 by the fraction 23/8? Write your answer as a simplified fraction.

CodeLlama 34B:

  To multiply two fractions, we need to follow the order of operations. First, we multiply the numerators (the numbers on top) and then we multiply the denominators (the numbers on the bottom).

11/15 x 23/8 = (11 x 23) / (15 x 8)

= 253 / 120

= 126 / 60

= 21 / 10

Therefore, the result when you multiply the fraction 11/15 by the fraction 23/8 is the simplified fraction 21/10.

Expected answer: 253/120

Correct? No

Problem: What is the result of (29 / 16) * (21 / 27)? Present your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result of (29 / 16) * (21 / 27), we need to follow the order of operations (PEMDAS):

1. Multiply the numerators: 29 * 21 = 599
2. Multiply the denominators: 16 * 27 = 432
3. Simplify the fraction: 599 / 432 = 14 / 17

Therefore, the result of (29 / 16) * (21 / 27) is the simplified fraction 14 / 17.

Expected answer: 203/144

Correct? No

Problem: What is the result when (28 / 1) is divided by (30 / 27)? Write your answer as a simplified fraction.

CodeLlama 34B:

  To perform this calculation, we need to follow the order of operations (PEMDAS):

1. Divide 28 by 1: 28/1 = 28
2. Divide 30 by 27: 30/27 = 1 1/3
3. Divide the result of step 1 by the result of step 2: 28/1 1/3 = 28 2/3

Therefore, the result of (28 / 1) divided by (30 / 27) is 28 2/3.

Expected answer: 126/5

Correct? No

Problem: What is the result when you multiply ((25 / 25) * (20 / 7))? Write your answer as a simplified fraction.

CodeLlama 34B:

  The result when you multiply ((25 / 25) * (20 / 7)) is (1 * 20/7) = 20/7.

Therefore, the simplified fraction is 20/7.

Expected answer: 20/7

Correct? Yes

Problem: Calculate the following: multiply 5 (which is equivalent to the fraction 5/1) with the fraction 16/27. Write your answer as a simplified fraction.

CodeLlama 34B:

  To multiply 5 with the fraction 16/27, we need to multiply the numerator and denominator of the fraction by 5.

16/27 = 16 × 5 / 27 × 5
= 80/135

So, the simplified fraction is 80/135.

Expected answer: 80/27

Correct? No

Problem: Calculate the result of the expression ((27 / 3) / (12 / 12)) and write your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result of the expression ((27 / 3) / (12 / 12)), we need to follow the order of operations (PEMDAS):

1. Divide 27 by 3: 27 ÷ 3 = 9
2. Divide 12 by 12: 12 ÷ 12 = 1
3. Divide 9 by 1: 9 ÷ 1 = 9

Therefore, the result of the expression ((27 / 3) / (12 / 12)) is 9.

As a simplified fraction, we can write 9 as 9/1.

So, the final answer is 9/1.

Expected answer: 9

Correct? Yes

Problem: Calculate the result of the following operation: (15 / 16) * (29 / 2). Write your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result of the operation, we need to perform the multiplication first and then the division.

(15 / 16) * (29 / 2) = (15 * 29) / (16 * 2)
= 435 / 32

The result of the operation is 435/32, which can be simplified to 14 3/8.

Therefore, the simplified fraction is 14 3/8.

Expected answer: 435/32

Correct? No

Problem: Calculate the solution to this mathematical equation: ((6 / 2) / (13 / 9)). Write your answer as a simplified fraction.

CodeLlama 34B:

  To solve this equation, we need to follow the order of operations (PEMDAS):

1. Divide 6 by 2: 6 ÷ 2 = 3
2. Divide 13 by 9: 13 ÷ 9 = 1
3. Divide the result of step 1 by the result of step 2: 3 ÷ 1 = 3

Therefore, the solution to the equation is 3.

### Answer: 3

Expected answer: 27/13

Correct? No

Problem: Calculate the answer to the following problem: divide seven wholes, which is the same as 7/1, by 15/9. Write your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the answer to the problem, we need to divide 7/1 by 15/9.

First, we can simplify the fractions by dividing both the numerator and denominator of each fraction by their greatest common divisor (GCD). The GCD of 7 and 1 is 1, so we can simplify 7/1 to 7/1. The GCD of 15 and 9 is 3, so we can simplify 15/9 to 5/3.

Now we can divide 7/1 by 5/3:

7/1 ÷ 5/3 = 7 × 3/5 = 21/5

Therefore, the simplified fraction is 21/5.

Expected answer: 21/5

Correct? Yes

Problem: What is the result when you multiply (23/10) by (9/1)?

CodeLlama 34B:

  Reasoning: (23/10) × (9/1) = <<23/10×9/1=207/10>>207/10.
### Answer: 207/10.

Expected answer: 207/10

Correct? Yes

Problem: What is ((18 / 4) * (10 / 11))? Write your answer as a simplified fraction.

CodeLlama 34B:

  The expression ((18 / 4) * (10 / 11)) can be evaluated as follows:

1. Evaluate the expression inside the parentheses:

(18 / 4) = 4.5

(10 / 11) = 0.90909...

2. Multiply the two expressions:

(4.5) * (0.90909...) = 4.045

Therefore, the simplified fraction is 4045/1000.

Expected answer: 45/11

Correct? No

Problem: What is the numerical result when the fraction 24/23 is multiplied by the fraction 23/3?

CodeLlama 34B:

  To multiply fractions, you need to have the same denominator. In this case, we can multiply 24/23 by 23/3 by first converting them to equivalent fractions with the same denominator.

24/23 = 24/23 x 3/3 = 72/69

23/3 = 23/3 x 2/2 = 46/6

Now we can multiply the equivalent fractions:

72/69 x 46/6 = 3252/459

Therefore, the numerical result when the fraction 24/23 is multiplied by the fraction 23/3 is 3252/459.

Expected answer: 8

Correct? No

Problem: Determine the solution for the following division of fractions: (20 / 13) / (17 / 16) and write your answer as a simplified fraction.

CodeLlama 34B:

  To divide fractions, we need to invert the second fraction (i.e., change the numerator and denominator) and then multiply.

So, the calculation would be:

(20 / 13) / (17 / 16) = (20 / 13) × (16 / 17)

= (20 × 16) / (13 × 17)

= 320 / 221

Therefore, the simplified fraction is 320/221.

Expected answer: 320/221

Correct? Yes

Problem: Calculate the result of the following problem: ((5 divided by 5) multiplied by (4 divided by 1))

CodeLlama 34B:

  To calculate the result of the problem, we need to follow the order of operations (PEMDAS):

1. Divide 5 by 5: 5 ÷ 5 = 1
2. Divide 4 by 1: 4 ÷ 1 = 4
3. Multiply the results: 1 × 4 = 4

Therefore, the result of the problem is 4.

Expected answer: 4

Correct? Yes

Problem: Calculate the result for the following problem: ((30 / 23) * (19 / 24)). Write the answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result, we need to perform the following steps:

1. Calculate the expression inside the parentheses:
(30 / 23) = 1.304347826086957
(19 / 24) = 0.791666666666667
2. Multiply the two expressions:
1.304347826086957 * 0.791666666666667 = 1.023578260869565
3. Simplify the result:
1.023578260869565 = 5/4

Therefore, the result is 5/4.

Expected answer: 95/92

Correct? No

Problem: Evaluate the expression (23 / 26) * (16 / 1) and express your answer as a simplified fraction.

CodeLlama 34B:

  To evaluate the expression (23 / 26) * (16 / 1), we need to follow the order of operations (PEMDAS):

1. Parentheses: (23 / 26) = 23/26
2. Multiplication: (23/26) * (16/1) = 23/26 * 16/1 = 372/26

Therefore, the simplified fraction is 372/26.

Expected answer: 184/13

Correct? No

Problem: Compute the following fractional expression: ((21 / 1) / (26 / 20)), express your answer as a simplified fraction.

CodeLlama 34B:

  To compute the fractional expression, we need to follow the order of operations (PEMDAS):

1. Divide the numerator and denominator of the first fraction by the denominator of the second fraction:

((21 / 1) / (26 / 20)) = (21 / 1) / (13 / 20)
2. Simplify the expression by canceling out the common factors:

(21 / 1) / (13 / 20) = 21 / 13

Therefore, the simplified fraction is 21/13.

Expected answer: 210/13

Correct? No

Problem: Calculate the following: multiply 24 over 19 by 21 over 19 without simplifying. Write your answer as a fraction.

CodeLlama 34B:

  To calculate 24/19 multiplied by 21/19 without simplifying, we can use the following steps:

1. Multiply the numerators (24 and 21) to get 486.
2. Multiply the denominators (19 and 19) to get 361.
3. Divide the product of the numerators (486) by the product of the denominators (361) to get 138/361.

Therefore, 24/19 multiplied by 21/19 without simplifying is 138/361.

Expected answer: 504/361

Correct? No

Problem: Jim is baking a cake that calls for 12/2 cups of sugar and 17/14 cups of flour. If Jim needs to multiply the amount of sugar and flour he needs for a larger cake, how much sugar and flour does he need in total? Calculate ((12 / 2) * (17 / 14)) and express your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the total amount of sugar and flour needed for a larger cake, we need to multiply the amount of sugar and flour needed for a single cake by the number of cakes we want to make.

For sugar, we have:

(12/2) = 6

So, we need 6 cups of sugar for a larger cake.

For flour, we have:

(17/14) = 1.2142857142857142857142857142857

So, we need 1.2142857142857142857142857142857 cups of flour for a larger cake.

Therefore, the total amount of sugar and flour needed for a larger cake is:

6 cups of sugar and 1.2142857142857142857142857142857 cups of flour.

We can simplify the fraction by canceling out the common factors:

6/1 = 6

So, the simplified fraction is 6/1.

Expected answer: 51/7

Correct? No

Problem: Calculate the result of the following operation: ((21 / 16) / (27 / 23)) and represent the answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result of the operation, we need to perform the division operations in the correct order.

First, we divide 21 by 16:

21 ÷ 16 = 15/16

Next, we divide 27 by 23:

27 ÷ 23 = 3/4

Now, we divide the result of the first division by the result of the second division:

15/16 ÷ 3/4 = 5/8

Therefore, the result of the operation is 5/8, which can be simplified to 5/8.

Expected answer: 161/144

Correct? No

Problem: Calculate the answer to the following problem and write the answer as a simplified fraction: (11 / 20) * (24 / 12)

CodeLlama 34B:

  To calculate the answer to the problem, we need to follow the order of operations (PEMDAS):

1. Multiply the numbers in the parentheses:
(11 / 20) * (24 / 12) = (11 * 24) / (20 * 12)
2. Simplify the fraction:
(11 * 24) / (20 * 12) = 264 / 480

Therefore, the simplified fraction is 264/480.

Expected answer: 11/10

Correct? No

Problem: Calculate the answer to the following problem: ((6 / 19) * (28 / 2)). Write your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the answer to the problem, we need to follow the order of operations (PEMDAS):

1. Calculate the expression inside the parentheses: (6 / 19) = 1/3
2. Calculate the expression inside the parentheses: (28 / 2) = 14
3. Multiply the two expressions: (1/3) * 14 = 42/3

Therefore, the simplified fraction is 42/3.

Expected answer: 84/19

Correct? No

Problem: Calculate the result of the following operation: (12 / 14) * (28 / 5). Simplify the resulting fraction to its lowest terms.

CodeLlama 34B:

  To calculate the result of the operation, we need to perform the following steps:

1. Calculate the result of the division: 12 / 14 = 0.857142857142857
2. Multiply the result by the result of the second division: 0.857142857142857 * 28 / 5 = 14.2857142857143

Therefore, the result of the operation is 14.2857142857143.

To simplify the resulting fraction to its lowest terms, we can divide both the numerator and the denominator by the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 14 and 5 is 1, so we can divide both the numerator and denominator by 1:

14.2857142857143 / 1 = 14.2857142857143

Therefore, the simplified fraction is 14.2857142857143.

Expected answer: 24/5

Correct? No

Problem: Calculate the result of the following expression: (19 / 3) * (8 / 15). Write your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result of the expression, we need to follow the order of operations (PEMDAS):

1. Divide 19 by 3: 19 ÷ 3 = 6
2. Divide 8 by 15: 8 ÷ 15 = 1/2
3. Multiply 6 by 1/2: 6 × 1/2 = 3/2

Therefore, the result of the expression is 3/2.

Expected answer: 152/45

Correct? No

Problem: Calculate the result of the following expression: ((15 / 3) * (7 / 25)) and write your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result of the expression ((15 / 3) * (7 / 25)), we need to follow the order of operations (PEMDAS):

1. Parentheses: Inside the parentheses, we have (15 / 3) and (7 / 25).
2. Exponents (none in this case).
3. Multiplication: We multiply the two fractions together.

So, the result of the expression is:

((15 / 3) * (7 / 25)) = (5 * 7) / (3 * 25)
= 35 / 75

Therefore, the simplified fraction is 35/75.

Expected answer: 7/5

Correct? No

Problem: Calculate the following equation: (20 / 10) * (10 / 1) and write your answer as a whole number.

CodeLlama 34B:

  (20 / 10) * (10 / 1) = (2 * 10) = 20.

Therefore, the answer is 20.

Expected answer: 20

Correct? Yes

Problem: Calculate the result of the [(27 / 18) * (19 / 8)] and express your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result of the expression [(27 / 18) * (19 / 8)], we need to follow the order of operations (PEMDAS):

1. Multiply the two fractions: (27 / 18) * (19 / 8) = (27 * 19) / (18 * 8)
2. Simplify the fraction: (27 * 19) / (18 * 8) = 523 / 144

Therefore, the result of the expression [(27 / 18) * (19 / 8)] is 523/144, which can be simplified to 13/9.

### Answer: 13/9

Expected answer: 57/16

Correct? No

Problem: What is the result of the multiply operation when you multiply the fraction 29/5 by 13/24? Please write your response as a simplified fraction.

CodeLlama 34B:

  To perform the multiplication, we need to follow the order of operations (PEMDAS):

1. Multiply the numerators: 29 × 13 = 387
2. Multiply the denominators: 5 × 24 = 120
3. Simplify the fraction: 387/120 = 19/5

Therefore, the result of the multiply operation when you multiply the fraction 29/5 by 13/24 is the simplified fraction 19/5.

Expected answer: 377/120

Correct? No

Problem: Calculate the value of the expression ((29 / 17) / (27 / 22)). Write your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the value of the expression ((29 / 17) / (27 / 22)), we need to follow the order of operations (PEMDAS):

1. Divide 29 by 17: 29 ÷ 17 = 1.647
2. Divide 27 by 22: 27 ÷ 22 = 1.227
3. Divide the result of step 1 by the result of step 2: 1.647 ÷ 1.227 = 1.34

Therefore, the value of the expression ((29 / 17) / (27 / 22)) is 1.34.

As a simplified fraction, we can write this as 134/100.

Expected answer: 638/459

Correct? No

Problem: What would be the result of the calculation (27 / 6) * (25 / 5)?

CodeLlama 34B:

  To calculate (27 / 6) * (25 / 5), we need to follow the order of operations (PEMDAS):

1. Divide 27 by 6: 27 ÷ 6 = 4
2. Divide 25 by 5: 25 ÷ 5 = 5
3. Multiply 4 by 5: 4 × 5 = 20

Therefore, the result of the calculation (27 / 6) * (25 / 5) is 20.

Expected answer: 45/2

Correct? No

Problem: Calculate and write your answer as a simplified fraction for the following expression: (13 / 1) * (1 / 6).

CodeLlama 34B:

  To calculate the expression (13 / 1) * (1 / 6), we need to follow the order of operations (PEMDAS):

1. Parentheses: inside the parentheses we have 13 / 1 = 13
2. Exponents (none in this case)
3. Multiplication: 13 * 1/6 = 13/6

Therefore, the simplified fraction for the expression (13 / 1) * (1 / 6) is 13/6.

Expected answer: 13/6

Correct? Yes

Problem: What is the product when you multiply 25/20 and 11/6? Write your answer as a simplified fraction.

CodeLlama 34B:

  To find the product of two fractions, we multiply the numerators (the top numbers) and multiply the denominators (the bottom numbers). Then, we simplify the fraction by dividing the numerator and denominator by the greatest common divisor (GCD) of the two numbers.

In this case, the product of 25/20 and 11/6 is:

25/20 x 11/6 = 275/120

To simplify this fraction, we can divide both the numerator and denominator by 5, since 5 is the GCD of 275 and 120:

275/120 = 55/24

Therefore, the product of 25/20 and 11/6 is 55/24.

Expected answer: 55/24

Correct? Yes

Problem: Determine the value of (7 / 2) / (25 / 10). Please provide your answer as a simplified fraction.

CodeLlama 34B:

  To simplify the expression, we need to perform the division operations in the correct order.

First, we divide 7 by 2:

7 ÷ 2 = 3

Next, we divide 25 by 10:

25 ÷ 10 = 2

Now, we divide the result of the first division by the result of the second division:

3 ÷ 2 = 1

Therefore, the simplified fraction is 1.

Expected answer: 7/5

Correct? No

Problem: Calculate the multiplication of two fractions: Multiply 15/16 by 29/27. Give your answer as a simplified fraction.

CodeLlama 34B:

  To multiply two fractions, we need to follow the order of operations. First, we multiply the numerators (the numbers on top) and then the denominators (the numbers on the bottom).

15/16 × 29/27 = (15 × 29) / (16 × 27)

= 435 / 432

= 15/16

Therefore, the simplified fraction is 15/16.

Expected answer: 145/144

Correct? No

Problem: Evaluate the following expression to find the answer: ((30 / 25) * (25 / 10)). Simplify your answer.

CodeLlama 34B:

  To evaluate the expression, we need to follow the order of operations (PEMDAS):

1. Divide 30 by 25: 30 ÷ 25 = 1.2
2. Divide 25 by 10: 25 ÷ 10 = 2.5
3. Multiply the results: 1.2 × 2.5 = 3

Therefore, the answer is 3.

Expected answer: 3

Correct? Yes

Problem: Calculate the product of the fractions 27/10 and 27/3. Write your answer in simplest form.

CodeLlama 34B:

  To calculate the product of the fractions 27/10 and 27/3, we need to multiply the numerators (27 and 27) and multiply the denominators (10 and 3).

27/10 x 27/3 = (27 x 27) / (10 x 3)
= 729 / 30

In simplest form, 729/30 can be reduced to 243/10.

Therefore, the product of the fractions 27/10 and 27/3 is 243/10.

Expected answer: 243/10

Correct? Yes

Problem: Calculate the result of the following operation: (10 / 8) * (30 / 26). Write your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result of the operation, we need to perform the following steps:

1. Calculate the result of the division 10/8, which is 5.
2. Calculate the result of the division 30/26, which is 15/13.
3. Multiply the results of the two divisions, which gives us 5 x 15/13 = 75/13.

Therefore, the result of the operation (10/8) * (30/26) is the simplified fraction 75/13.

Expected answer: 75/52

Correct? No

Problem: Evaluate the following expression: ((20 / 22) * (14 / 11)). Write your answer as a simplified fraction.

CodeLlama 34B:

  To evaluate the expression, we need to follow the order of operations (PEMDAS):

1. Divide 20 by 22: 20/22 = 0.909
2. Divide 14 by 11: 14/11 = 1.273
3. Multiply the results: 0.909 * 1.273 = 1.19

Therefore, the simplified fraction is 1 19/100.

Expected answer: 140/121

Correct? No

Problem: Evaluate the following operation: ((25 / 8) * (3 / 4)) and write your answer as a simplified fraction. Does the result signify some form of division amongst a group or sharing something in portions?

CodeLlama 34B:

  The operation ((25 / 8) * (3 / 4)) can be evaluated as follows:

1. (25 / 8) = 3
2. (3 / 4) = 3/4
3. (3) * (3/4) = 9/4

Therefore, the result of the operation is 9/4.

This result signifies that a group of 9 people are sharing something in 4 equal portions.

Expected answer: 75/32

Correct? No

Problem: Calculate the value of the following expression as a decimal: (29 / 1) * (8 / 15).

CodeLlama 34B:

  To calculate the value of the expression (29 / 1) * (8 / 15), we need to follow the order of operations (PEMDAS):

1. Divide 29 by 1: 29 / 1 = 29
2. Divide 8 by 15: 8 / 15 = 0.53333...
3. Multiply 29 by 0.53333...: 29 * 0.53333... = 15.3333...

Therefore, the value of the expression (29 / 1) * (8 / 15) is 15.3333... as a decimal.

### Answer: 15.3333...

Expected answer: 232/15

Correct? No

Problem: What is the result when you multiply (29/17) by (26/15)?

CodeLlama 34B:

  To multiply two fractions, you need to multiply the numerators (the top numbers) and multiply the denominators (the bottom numbers). Then, you need to simplify the fraction by dividing the numerator by the denominator.

In this case, the result of multiplying (29/17) by (26/15) is:

(29/17) × (26/15) = (29 × 26) / (17 × 15)
= 754 / 255

So the result is 754/255.

Expected answer: 754/255

Correct? Yes

Problem: Calculate the value of the expression ((25 / 5) * (16 / 8)) and provide your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the value of the expression ((25 / 5) * (16 / 8)), we need to follow the order of operations (PEMDAS):

1. Parentheses: Inside the parentheses, we have (25 / 5) and (16 / 8).
2. Exponents (none in this case).
3. Multiplication: We multiply the two expressions inside the parentheses.
4. Division: We divide the result of the multiplication by 8.

So, the calculation goes like this:

((25 / 5) * (16 / 8)) = ((5 * 16) / 8) = (80 / 8) = 10

Therefore, the value of the expression ((25 / 5) * (16 / 8)) is 10.

As a simplified fraction, we can write 10 as 10/1, since the numerator and denominator are coprime (they have no common factors).

Expected answer: 10

Correct? Yes

Problem: What is the result when you multiply (23 / 4) by (10 / 12)? Write your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result, we need to follow the order of operations (PEMDAS):

1. Multiply the numerators: 23 × 10 = 230
2. Multiply the denominators: 4 × 12 = 48
3. Divide the products: 230 ÷ 48 = 5

Therefore, the result of multiplying (23 / 4) by (10 / 12) is 5.

Expected answer: 115/24

Correct? No

Problem: Calculate the result of the following multiplication of fractions: (21 / 26) * (20 / 9). Write your answer in simplest form.

CodeLlama 34B:

  To calculate the result of the multiplication of fractions, we need to follow the correct order of operations. First, we multiply the numerators (the top numbers) and the denominators (the bottom numbers).

(21 / 26) * (20 / 9) = (21 * 20) / (26 * 9)
= 420 / 224

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2.

420 / 224 = 210 / 112

Therefore, the result of the multiplication of fractions is 210/112 in simplest form.

Expected answer: 70/39

Correct? No

Problem: Calculate the following expression: ((17 / 13) * (15 / 6)). Write your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the expression, we need to follow the order of operations (PEMDAS):

1. Divide 17 by 13: 17 ÷ 13 = 1.3076923076923077
2. Divide 15 by 6: 15 ÷ 6 = 2.5
3. Multiply the results: 1.3076923076923077 × 2.5 = 3.2689655172413793

Therefore, the simplified fraction is 3 2689655172413793/100.

Expected answer: 85/26

Correct? No

Problem: Calculate the result of the following equation: (25 / 18) * (17 / 6). Write your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result of the equation, we need to follow the order of operations (PEMDAS):

1. Divide 25 by 18: 25 ÷ 18 = 1.39
2. Divide 17 by 6: 17 ÷ 6 = 2.83
3. Multiply the results: 1.39 × 2.83 = 3.99

Therefore, the result of the equation is 3.99.

As a simplified fraction, we can write 3.99 as 19/5.

Expected answer: 425/108

Correct? No

Problem: Calculate the result of multiplying 9 (which is a fraction equivalent to 9/1) by 2/17. Write your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result of multiplying 9 by 2/17, we can use the following steps:

1. Multiply 9 by 2: 9 × 2 = 18
2. Divide 18 by 17: 18 ÷ 17 = 1 1/17

Therefore, the result of multiplying 9 by 2/17 is 1 1/17.

Expected answer: 18/17

Correct? Yes

Problem: Calculate the result of the multiplication: (27 / 14) * (19 / 14). Write your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result of the multiplication, we need to follow the order of operations (PEMDAS):

1. Divide the numbers in the parentheses:
(27 / 14) = 11/7
(19 / 14) = 11/7
2. Multiply the fractions:
11/7 * 11/7 = 121/49

Therefore, the result of the multiplication is 121/49, which is simplified to 11/7.

Expected answer: 513/196

Correct? No

Problem: Calculate the result for the expression: (16 / 5) * (5 / 15) and write your answer as a simplified fraction.

CodeLlama 34B:

  To calculate the result for the expression: (16 / 5) * (5 / 15), we need to follow the order of operations (PEMDAS):

1. Parentheses: inside the parentheses we have (16 / 5) = 3 and (5 / 15) = 1/3
2. Exponents (none in this case)
3. Multiplication: 3 * 1/3 = 1

So, the result of the expression is 1.

Therefore, the simplified fraction is 1/1, which is equivalent to the simplified fraction 1.

Expected answer: 16/15

Correct? No

Problem: Calculate the result of the following fraction multiplication: (8 / 3) * (18 / 21). Write your answer as a simplified fraction.

CodeLlama 34B:

  To multiply two fractions, we need to multiply the numerators (the numbers on the top) and multiply the denominators (the numbers on the bottom). Then, we simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD).

(8 / 3) * (18 / 21) = (8 * 18) / (3 * 21) = 144 / 63

The simplified fraction is 144 / 63.

Expected answer: 16/7

Correct? Yes

Problem: Evaluate the following expression and write the answer as a simplified fraction: ((14 / 6) / (22 / 16))

CodeLlama 34B:

  To evaluate this expression, we need to follow the order of operations (PEMDAS):

1. Divide the numerator and denominator of the first fraction by the denominator of the second fraction:

((14 / 6) / (22 / 16)) = ((14 / 6) / (22 / 16)) = ((14 / 6) / (11 / 8))
2. Simplify the fractions:

((14 / 6) / (11 / 8)) = (2 / 3) / (11 / 8) = (2 / 3) / (13 / 8)
3. Simplify the fraction:

(2 / 3) / (13 / 8) = (2 / 3) / (13 / 8) = 4 / 9

Therefore, the simplified fraction is 4/9.

Expected answer: 56/33

Correct? No

Problem: Calculate the result of the following fraction multiplication: (16 / 3) * (25 / 26)

CodeLlama 34B:

  To calculate the result of the fraction multiplication, we need to follow the order of operations.

First, we multiply the numerators (16 and 25) to get 400.

Next, we multiply the denominators (3 and 26) to get 78.

Finally, we divide the product of the numerators by the product of the denominators to get the result:

400 / 78 = 5.13

Therefore, the result of the fraction multiplication is 5.13.

Expected answer: 200/39

Correct? No

Problem: Solve the following problem, writing the answer as a simplified fraction: (16 / 16) * (26 / 22)

CodeLlama 34B:

  To solve this problem, we need to follow the order of operations (PEMDAS):

1. Multiply the two fractions: (16 / 16) * (26 / 22) = (16 * 26) / (16 * 22)
2. Simplify the fraction: (16 * 26) / (16 * 22) = 416 / 352

Therefore, the simplified fraction is 416/352.

Expected answer: 13/11

Correct? Yes

Problem: Calculate the result of the following operation: (17 / 5) * (5 / 14). Write your answer as a simplest form fraction.

CodeLlama 34B:

  To calculate the result of the operation, we need to perform the multiplication first and then the division.

(17 / 5) * (5 / 14) = (17 * 5) / (5 * 14)
= (85) / (70)

The result of the operation is 85/70, which can be simplified to 17/10.

Therefore, the result of the operation is 17/10.

Expected answer: 17/14

Correct? No

Problem: What is the fraction you get when you multiply (16 / 6) with (29 / 27)? Write your answer in simplest form.

CodeLlama 34B:

  To multiply two fractions, we need to multiply the numerators (the numbers on the top) and multiply the denominators (the numbers on the bottom). Then, we simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD).

So, to multiply (16/6) with (29/27), we first multiply the numerators:

16 x 29 = 464

Next, we multiply the denominators:

6 x 27 = 162

Now, we simplify the fraction by dividing the numerator and denominator by their GCD:

464 ÷ 162 = 2

Therefore, the fraction we get when we multiply (16/6) with (29/27) is 2/1.

### Answer: 2/1

Expected answer: 232/81

Correct? No

Problem: If a car consumes 16/10 gallons of petrol every mile and you have to drive a route that is 13/17 of a mile long, how many gallons of petrol will the car have consumed when you finish the drive? Express your answer as a simplified fraction.

CodeLlama 34B:

  To find the number of gallons of petrol consumed by the car, we need to multiply the distance traveled by the amount of petrol consumed per mile.

Distance = 13/17 mile
Petrol consumed per mile = 16/10 gallons

So, the total petrol consumed can be calculated as:

Total petrol consumed = Distance x Petrol consumed per mile
= 13/17 x 16/10
= 224/170 gallons

Therefore, the car will have consumed 224/170 gallons of petrol when you finish the drive.

Expected answer: 104/85

Correct? No

Problem: Calculate the result of the following problem and express your answer as a simplified fraction: (29 / 10) / (18 / 16)

CodeLlama 34B:

  To calculate the result of the problem, we need to follow the order of operations (PEMDAS):

1. Divide the numerator and denominator of the first fraction by the denominator of the second fraction:

(29 / 10) / (18 / 16) = (29 / 10) / (9 / 8)
2. Simplify the fractions:

(29 / 10) / (9 / 8) = (29 / 10) / (1)
3. Calculate the result:

(29 / 10) / (1) = 29 / 10 = 2 9/10

Therefore, the result of the problem is 2 9/10.

Expected answer: 116/45

Correct? No

Problem: Jeremy is trying to solve a complex fraction problem. He needs to find out the result of multiplying (15/12) by (27/3). Can you help Jeremy solve this problem? Write your answer as a simplified fraction.

CodeLlama 34B:

  Sure, I can help you with that!

To multiply two fractions, we need to follow the order of operations. First, we multiply the numerators (the numbers on top) and then we multiply the denominators (the numbers on the bottom).

So, in this case, we would multiply 15 by 27, which gives us 405. Then, we multiply 12 by 3, which gives us 36.

Now, we need to simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD). The GCD of 405 and 36 is 9, so we divide both numbers by 9:

405 ÷ 9 = 45
36 ÷ 9 = 4

Therefore, the result of multiplying (15/12) by (27/3) is 45/4, which is simplified to 11/1.

Expected answer: 45/4

Correct? No

Problem: Calculate the answer to the following math problem: (7 / 7) * (12 / 12)

CodeLlama 34B:

  To calculate the answer to the problem, we need to follow the order of operations (PEMDAS):

1. Divide 7 by 7: 7 ÷ 7 = 1
2. Divide 12 by 12: 12 ÷ 12 = 1
3. Multiply the results: 1 × 1 = 1

Therefore, the answer to the problem is 1.

Expected answer: 1

Correct? Yes

Problem: Find the result of ((28 / 6) * (16 / 24)). Write your answer as a simplified fraction.

CodeLlama 34B:

  To find the result of ((28 / 6) * (16 / 24)), we need to follow the order of operations (PEMDAS):

1. Divide 28 by 6: 28 ÷ 6 = 4
2. Divide 16 by 24: 16 ÷ 24 = 1/2
3. Multiply 4 by 1/2: 4 × 1/2 = 2

Therefore, the result of ((28 / 6) * (16 / 24)) is 2.

### Answer: 2

Expected answer: 28/9

Correct? No