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

Mistral 7B:

 Reasoning: To find the product of two fractions, multiply the numerators and denominators separately.
(29/2) * (19/28) = (29*19)/(2*28) = 551/56

However, since 551 and 56 have no common factors other than 1, this fraction cannot be simplified further.
### Answer: 551/56 (cannot be simplified)

Expected answer: 551/56

Correct? Yes

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.

Mistral 7B:

 Reasoning: First, we find the result of dividing 27 by 12, which is 2.1666666666666665 (repeating). However, since we are looking for a simplified fraction, we round it to 2 (since 27 is a multiple of 12).
Then, we multiply 7 by 2, which gives us 14.
Since 14 is not a proper fraction, we cannot simplify it further.
### Answer: The result is 14, which cannot be represented as a simplified fraction.

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)).

Mistral 7B:

 Reasoning: To find the amount of water that Susan will use, we need to find the ratio of the new amount of flour to the original amount of flour, and then multiply this ratio by the original amount of water.

The ratio of the new amount of flour to the original amount of flour is (29 / 30).
The ratio of the original amount of water to the new amount of flour is (27 / 29).

To find the amount of water that Susan will use, we multiply the ratios:

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

### Answer: 27/30 (or 9/10 if simplified)

Expected answer: 29/27

Correct? No

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

Mistral 7B:

 Reasoning: First, calculate the individual fractions:
(24 / 22) = 1.0909 (rounded to four decimal places)
(24 / 17) = 1.4118 (rounded to four decimal places)

Now, multiply the two fractions:
(1.0909 * 1.4118) = 1.5386722 (rounded to four decimal places)

To convert this decimal to a simplified fraction, we can use a calculator to find the least common denominator (LCD) of the two original denominators (22 and 17), which is 306. Then, we multiply both the numerator and the denominator by the smallest number that makes the denominator equal to the LCD:

Numerator: 1.5386722 * 15 = 23.08008
Denominator: 306

The simplified fraction is 23/306.
### Answer: 23/306

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.

Mistral 7B:

 Reasoning: To divide fractions, we multiply by the reciprocal of the divisor. So, (25/4) * (6/16) = (25*6)/(4*16) = 15/8.
### Answer: 15/8

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.

Mistral 7B:

 To multiply the fractions 3/7 and 26/6, we multiply the numerators and the denominators separately:

(3 * 26) / (7 * 6) = 78 / 42

Now, we simplify the fraction 78/42 by finding the greatest common divisor (GCD) of 78 and 42:

GCD(78, 42) = 6

Now, we divide both the numerator and the denominator by the GCD:

(78 / 6) / (42 / 6) = 13 / 7

### Answer: 13/7

Expected answer: 13/7

Correct? Yes

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

Mistral 7B:

 The expression (17 / 10) * (28 / 10) can be simplified by removing the common factor of 10.
(17 / 10) * (28 / 10) = (17 * 28) / 100 = 484 / 100 = <<484/100=4.84>>4.84 (in decimal form)
### Answer: 4.84

Expected answer: 119/25

Correct? No

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

Mistral 7B:

 Reasoning: First, we find the value of the expression inside the parentheses:
(29 / 14) * (23 / 6) = (7 / 2) * (11 / 2) = 7 * 11 / 2^2 = 77 / 4
### Answer: 77/4

Expected answer: 667/84

Correct? No

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

Mistral 7B:

 Reasoning: First, we multiply the fractions: (18/19) * (19/6) = (18*19)/(19*6) = 324/114.
To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator, which is 36.
So, the simplified fraction is 324/114 divided by 36/36, which gives us: 324/114 * 1/36 = 9/14.
### Answer: 9/14

Expected answer: 3

Correct? No

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

Mistral 7B:

  Reasoning: To find the product of two fractions, multiply the numerators and the denominators separately.
(19/12) * (20/6) = (19*20) / (12*6) = 380 / 72
To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator and divide both by it.
GCD(380, 72) = 8
380/8 = 47.5 and 72/8 = 9
So, the simplified fraction is 47.5/9.
### Answer: 47.5/9

Expected answer: 95/18

Correct? Yes

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.

Mistral 7B:

 Reasoning: To find the total fractional representation of consumer goods and industrial supplies hauled in one day, we multiply the fractional representations of each cargo type.

(28/21) * (22/4) = (28 * 22) / (21 * 4) = 616 / 84

To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator:

GCD(616, 84) = 4

Now, we divide both the numerator and the denominator by the GCD:

616 / 4 = 154 and 84 / 4 = 21

So, the simplified fraction is 154/21.

### Answer: 154/21

Expected answer: 22/3

Correct? Yes

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

Mistral 7B:

 Reasoning: First, perform the division operations inside the parentheses:
(16 / 4) / (24 / 21) = (4) / (24/21) = (4) * (21/24) = (4 * 21) / 24 = 84 / 24.
Since 84 and 24 have a common factor of 12, we can simplify the fraction by dividing both the numerator and the denominator by 12:
84 / 24 = 7 / 2.
### Answer: 7/2 or 3.5 (when rounded to one decimal place)

Expected answer: 7/2

Correct? Yes

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

Mistral 7B:

 Reasoning: To find the product of the fractions, multiply the numerators and denominators separately: (5*15)/(27*2). Simplify the resulting fraction by finding the greatest common divisor (GCD) of the numerator and denominator: GCD(30,54) = 6.
### Answer: 5/9 ...............(Simplified form)
### Answer: 75/54 ...............(Without simplification)

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.

Mistral 7B:

 Reasoning: To find the product of the fractions, multiply the numerators and denominators separately: (15 * 19) / (13 * 7).
Simplify the product of the numerators: 295.
Simplify the product of the denominators: 91.
Now, divide the product of the numerators by the product of the denominators: 295 / 91.
Since 295 and 91 have no common factors other than 1, the fraction is already simplified.
### Answer: (15 / 13) * (19 / 7) = 295 / 91.

Expected answer: 285/91

Correct? No

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

Mistral 7B:

 Reasoning: To find the product of the fractions, multiply the numerators and denominators separately: (23*27)/(22*20).
Simplify the numerator: 611.
Simplify the denominator: 440.
The product of the fractions is 611/440.
### Answer: 611/440

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.

Mistral 7B:

 Reasoning: First, perform the division operations inside the parentheses: (12 / 25) * (20 / 4) = (12 * 20) / (25 * 4) = 240 / 100 = 2 1/2.
However, since we are looking for a simplified fraction, we can simplify the fraction 2 1/2 by dividing both the numerator and the denominator by their greatest common divisor, which is 2: 2 1/2 = 1 1/2.
### Answer: 1 1/2.

Expected answer: 12/5

Correct? No

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

Mistral 7B:

  Reasoning: To multiply fractions, multiply the numerators and the denominators separately.
(14/10) * (30/5) = (14*30) / (10*5) = 420 / 50
To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator, and divide both by the GCD.
The GCD of 420 and 50 is 20.
420 / 20 = 21 and 50 / 20 = 2.5.
Since a fraction cannot have a non-integer denominator, we leave the fraction as 21/2.
### Answer: 21/2

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.

Mistral 7B:

  Reasoning: To find out how many full batches the baker can make, we need to find the reciprocal of the fraction of a batch he has, which is (14/29). Then, we can divide the number of cups required for one full batch by the number of cups the baker has per full batch, which is (26 / (14/29)).

To simplify the fraction, we can find the greatest common divisor (GCD) of the numerator and the denominator, which is 2. Then, we divide both the numerator and the denominator by the GCD: (26 / (14/29)) = (26 * 29) / 14 = 733 / 14.

To simplify the fraction, we can find the greatest common divisor (GCD) of the numerator and the denominator, which is 14. Then, we divide both the numerator and the denominator by the GCD: (733 / 14) = 52.
### Answer: 52/1

Expected answer: 364/29

Correct? No

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

Mistral 7B:

 Reasoning: First, perform the division operations inside the parentheses:
(27 / 10) * (9 / 4) = (27 * 9) / (10 * 4) = 243 / 40

Since 243 and 40 have no common factors other than 1, the fraction is already simplified.
### Answer: 243/40

Expected answer: 243/40

Correct? Yes

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

Mistral 7B:

 Reasoning: To simplify the expression, we first find the greatest common divisor (GCD) of the numerators and the denominators separately, and then cancel out the common factors.

GCD(24, 11) = 1
GCD(27, 26) = 3

Now, we can cancel out the common factors:

((24 / 11) * (27 / 26)) = (2 * 2 * 3 / 1 * 1 * 3) = (6 / 1) = 6

Since the fraction is already in its simplest form, the answer is:
### Answer: 6

Alternatively, we could have found the GCD of the whole expression:

GCD((24 / 11), (27 / 26)) = GCD(24, 26) * GCD(11, 27) = 3 * 1 = 3

Then, we can cancel out the common factors:

((24 / 11) * (27 / 26)) = (2 * 3 * 4 / 3 * 1 * 2) = (8 / 3) = 8/3

Since 8/3 is already in its simplest form, the answer is:
### Answer: 8/3

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.

Mistral 7B:

 Reasoning: To multiply fractions, multiply the numerators and the denominators separately.
(26/9) * (17/13) = (26*17) / (9*13) = 452 / 117
To simplify the fraction, we can find the greatest common divisor (GCD) of the numerator and the denominator.
GCD(452, 117) = 1
So, the fraction is already in its simplest form.
### Answer: 452/117 (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.

Mistral 7B:

 Reasoning: First, we find the common denominator for the fractions 28/16 and 27/24, which is 48. We can rewrite the fractions as follows:
(28/16) / (27/24) = (14/8) / (3/4)
To simplify the fraction, we can multiply both the numerator and the denominator by the least common multiple of 8 and 4, which is 8.
(14*8) / (3*8) = (112/24) / (24/24) = 112/24
### Answer: 112/24 (or 5 3/4)

Expected answer: 14/9

Correct? No

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

Mistral 7B:

 Reasoning: First, we calculate the parentheses: (15/3) * (19/26) = (15*19)/(3*26) = 285/78.
To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator: GCD(285, 78) = 1.
Since the GCD is 1, the fraction is already in its simplest form.
### Answer: 285/78 (simplified)

Expected answer: 95/26

Correct? Yes

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?

Mistral 7B:

  Reasoning: To find out how much of the ingredient is required for one recipe, we first need to find the common multiple of 28 and 4 that is also a factor of 19. The least common multiple of 28 and 4 is 56, and 56 is not a factor of 19. However, we can find a multiple of 28 that is a factor of 19, which is 56 (since 19 is a factor of 56). Now, we can find the amount of the ingredient required for one recipe by dividing 56 by the number of recipes they want to make, which is 30/4.

Amount of the ingredient required for one recipe = 56 / (30/4) = 56 * (4/30) = (56 * 4) / 30 = 224/30

Since the bakery wants to make exactly 30/4 of this recipe, they will require:

(224/30) * (30/4) = 224 * (30/120) = 224/120

### Answer: 224/120 utschkeins (assuming "utschkeins" is the unit of measurement for the ingredient)

Expected answer: 285/56

Correct? No

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

Mistral 7B:

 Reasoning: First, perform the division inside the parentheses: (5/2) / (26/15) = (5*15) / (2*26) = 75 / 52.
The fraction 75/52 cannot be simplified further, so the final answer is:
### Answer: 75/52.

Expected answer: 75/52

Correct? Yes

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

Mistral 7B:

 The expression (9/3) * (27/28) can be simplified by cancelling common factors in the numerator and denominator.

(9/3) * (27/28) = (3*3) * (3*9/28) = (3^2 * 3*9)/28 = (3^3 * 9)/28

Since 3^3 = 27 and 27/28 cannot be simplified further, the simplified fraction is 27/28.
### Answer: 27/28

Expected answer: 81/28

Correct? No

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

Mistral 7B:

 The given expression can be simplified as follows:

((15 / 13) * (24 / 24)) = (15 * 24) / (13 * 24) = 360 / 312

To simplify the fraction, we can find the greatest common divisor (GCD) of the numerator and the denominator:

GCD(360, 312) = 84

Now, we can divide both the numerator and the denominator by the GCD:

360 / 84 = 4 and 312 / 84 = 3.75

Since we cannot have a fraction with a non-integer denominator, we can conclude that the given expression cannot be simplified further.

### Answer: The simplified fraction is 4/3. However, since the expression cannot be simplified to a fraction with an integer denominator, the simplified fraction is undefined.

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.

Mistral 7B:

 Reasoning: To find the product of two fractions, multiply the numerators and the denominators separately.
(9 / 7) * (25 / 30) = (9 * 25) / (7 * 30) = 225 / 210
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and the denominator and divide both by it.
GCD(225, 210) = 75
225 / 75 = 3
210 / 75 = 3
So, the simplified fraction is 3/3, which simplifies to 1.
### Answer: 1 (or 1 as a fraction)

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.

Mistral 7B:

 Reasoning: First, we find the common denominator for the fractions 9/8 and 20/18. The least common multiple of 8 and 18 is 72. So, we rewrite the fractions as follows:
(9/8) * (9/9) / (20/18) * (12/12)
Now, we can cancel out the common factors:
(9/1) / (20/18) * (9/9) * (12/12)
Simplifying the fractions:
(9/1) / (20/18) = (9*18) / (20*1) = 54/20
Now, we multiply the remaining fractions:
54/20 * 1 = 54/20
### Answer: 54/20

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.

Mistral 7B:

 Reasoning: First, we perform the division inside the parentheses: (30 / 6) = 5 and (13 / 9) = 1.4444... (repeating).
Now, we perform the second division: 5 / 1.4444... = 3.4641... (repeating).
### Answer: 3.4641... (approximately)

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?

Mistral 7B:

  Reasoning: First, divide 30 by 18 to get 1.6666666666667 (rounded to 7 decimal places).
Then, multiply the result by the fraction 18/6.
Multiplying a number by a fraction is the same as dividing the number by the reciprocal of the fraction.
So, multiply 1.6666666666667 by 3 (the reciprocal of 1/6).
1.6666666666667 \* 3 = 5.0000000000000 (rounded to 7 decimal places).
### Answer: 5.0000000000000

Expected answer: 5

Correct? Yes

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

Mistral 7B:

 Reasoning: First, perform the division operation: (20 / 2) = 10. Then, perform the multiplication operation: 10 * (2 / 18) = (10 * 2) / 18 = 20 / 18.
Since the numerator and denominator have a common factor of 2, we can simplify the fraction by dividing both by 2: 20 / 18 / 2 = 10 / 9.
### Answer: 10/9

Expected answer: 10/9

Correct? Yes

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

Mistral 7B:

 Reasoning: Multiply the numerators and denominators separately: (11 * 29) / (9 * 6) = 319 / 54.
### Answer: 319/54

Alternatively, you can simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator:

GCD(319, 54) = 3

Now, divide both the numerator and the denominator by the GCD: 319 / 3 = 106 3 / 9 = 3

So, the simplified fraction is 106/3
### Answer: 106/3 (simplified)

Expected answer: 319/54

Correct? Yes

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

Mistral 7B:

 Reasoning: First, perform the division operations inside the parentheses: (30 / 7) * (16 / 19) = 4 * (16 / 19).
Now, simplify the fraction by finding a common multiple of 16 and 19: 16 * 1 = 16, and 19 * 1 = 19. The least common multiple of 16 and 19 is 16 * 1 = 16.
Now, find the factors of 16 that are also factors of the product of the divisors of 16 and 19:
- Factors of 16: 1, 2, 4, 8, 16
- Factors of 19: 1, 19
- Common factors: 1

Since there is only one common factor, the fraction is already in its simplest form.
### Answer: (4 * 16 / 19) = 64/19

Expected answer: 480/133

Correct? No

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

Mistral 7B:

 To find the product of two fractions, multiply the numerators and denominators separately:
(25/22) * (20/3) = (25*20) / (22*3) = 500 / 66
To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator and divide both by it:
GCD(500, 66) = 2
500 / 2 = 250 and 66 / 2 = 33
So, the simplified fraction is 250/33.
### Answer: 250/33

Expected answer: 250/33

Correct? Yes

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

Mistral 7B:

 Reasoning: To find the result, we first need to find the reciprocal of each fraction and then multiply them.
The reciprocal of 29/2 is 2/29, and the reciprocal of 23/19 is 19/23.
Multiplying these reciprocals gives us (2/29) * (19/23) = <<(2/29)*(19/23)=(38/573)>>38/573.
### Answer: 38/573

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.

Mistral 7B:

 Reasoning: Multiply the numerators and denominators separately: (5 * 27) / (3 * 13).
Simplify the numerator: 135.
Simplify the denominator: 39.
### Answer: 135/39  eller 3 1/13 (when expressed as a mixed fraction)

Expected answer: 45/13

Correct? Yes

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

Mistral 7B:

 The expression (29 / 29) * (1 / 1) is equal to 1.
### Answer: 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.

Mistral 7B:

 Reasoning: To find the product of the fractions, multiply the numerators and denominators separately: (11*22)/(19*7).
Simplify the product of the numerators: 242.
Simplify the product of the denominators: 133.
Now, divide the product of the numerators by the product of the denominators: 242/133.
Since 242 and 133 have no common factors other than 1, the fraction is already in its simplest form.
### Answer: 242/133  vessio1331

Expected answer: 242/133

Correct? Yes

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

Mistral 7B:

 Reasoning: To multiply fractions, multiply the numerators and denominators separately: (21/30) * (19/5) = (21*19)/(30*5) = 399/150.

To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator, and divide both by the GCD: GCD(399, 150) = 3, so 399/150 simplifies to 133/50.

### Answer: 133/50

Expected answer: 133/50

Correct? Yes

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

Mistral 7B:

 To find the product of two fractions, multiply the numerators and the denominators separately, then simplify the resulting fraction.

11 * 23 = 253
15 * 8 = 120

Now, divide the product of the numerators by the product of the denominators: 253 / 120

To simplify the fraction, find the greatest common divisor (GCD) of the numerator and the denominator, and divide both by the GCD.

The GCD of 253 and 120 is 21.

So, 253 / 120 = (253 / 21) / (120 / 21) = 12 / 6

### Answer: 12/6 or simply 2

It's important to note that the final answer can be written as a mixed number, a fraction, or a decimal, but for this question, we are asked to write the answer as a simplified fraction.

Expected answer: 253/120

Correct? No

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

Mistral 7B:

 Reasoning: To find the product of two fractions, we multiply the numerators and denominators separately.
(29 / 16) * (21 / 27) = (29 * 21) / (16 * 27) = 617 / 432

To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator and divide both by it.
GCD(617, 432) = 61
617 / 61 = 10 and 432 / 61 = 7

So, the simplified fraction is 10/7.
### Answer: 10/7

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.

Mistral 7B:

 Reasoning: To divide fractions, we multiply the numerators and denominators by the reciprocal of the other fraction.
(28 / 1) / (30 / 27) = (28 * 27) / (1 * 30) = 768 / 30
To simplify the fraction, we find the greatest common divisor of the numerator and the denominator and divide both by it.
The greatest common divisor of 768 and 30 is 8.
768 / 8 = 96 and 30 / 8 = 3.75, which is not a simplified fraction since it has a non-integer value.
Since the fraction is not in its simplest form, the answer is:
### Answer: 96/3

Alternatively, you can use a calculator to find the exact value of the fraction:
(28 / 1) / (30 / 27) = 28/1 * 27/30 = 84/30 = 2.8, which is not a simplified fraction.
### Answer: 96/3 (not in its simplest form)

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.

Mistral 7B:

 Reasoning: The given expression can be simplified by canceling the common factor of 25 in the numerator and denominator of the first fraction, and the common factor of 5 and 25 in the numerator and denominator of the second fraction.
The result is (1 * (4/7)) = <<(1*4/7)=(4/7)>>4/7.
### Answer: 4/7

Expected answer: 20/7

Correct? No

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.

Mistral 7B:

 To multiply fractions, we multiply the numerators and the denominators separately.

So, (5/1) * (16/27) = (5*16)/(1*27) = 80/27.

Now, we can simplify the fraction 80/27 by finding the greatest common divisor (GCD) of 80 and 27. The GCD of 80 and 27 is 7.

So, 80/27 can be simplified to 80/27 = (80/7) * (7/27) = 8/3.

### Answer: 8/3

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.

Mistral 7B:

 Reasoning: First, we simplify the numerator and denominator of the first fraction: 27/3 = 9.
Then, we simplify the denominator of the second fraction: 12/12 = 1.
Now, we can calculate the result: 9/1 = 9.
### Answer: 9 (as a simplified fraction)

Expected answer: 9

Correct? Yes

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

Mistral 7B:

 Reasoning: First, perform the division operations inside the parentheses:
(15 / 16) * (29 / 2) = (15 * 29) / (16 * 2) = 435 / 32

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 3:
435 / 32 = (435 ÷ 3) / (32 ÷ 3) = 145 / 11
### Answer: 145/11

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.

Mistral 7B:

 Reasoning: First, we perform the division operations inside the parentheses: (6/2) / (13/9) = (3) / (13/9).
Next, we cross-multiply to find a common denominator: 3 * 9 = 27 and 13 * 2 = 26.
Then, we set up the equation and solve for the fraction: 3 * 2 = 6 and 13 * 9 = 117.
Finally, we set the two equal parts equal to each other: 6 / 117 = (3 * 2) / 117.
Simplifying the fraction, we get: 6 / 117 = 12 / 117.
### Answer: 12/117 (simplified fraction)

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.

Mistral 7B:

 Reasoning: To divide fractions, we multiply by the reciprocal of the divisor. So, we multiply 7/1 by 9/15.
(7/1) * (9/15) = 63/15
To simplify the fraction, we find the greatest common divisor of the numerator and the denominator, which is 3.
63/15 = (63/3) / (15/3) = 21/5
### Answer: 21/5

Expected answer: 21/5

Correct? Yes

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

Mistral 7B:

 Reasoning: To multiply fractions, multiply the numerators and denominators separately.
(23/10) * (9/1) = (23*9) / (10*1) = 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.

Mistral 7B:

 Reasoning: First, perform the division operations inside the parentheses:
(18 / 4) * (10 / 11) = (4.5) * (10 / 11)

Now, multiply the numbers:
4.5 * (10 / 11) = 45 / 11

Since the fraction 45/11 cannot be simplified further, the simplified fraction is:
### Answer: 45/11

Expected answer: 45/11

Correct? Yes

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

Mistral 7B:

 Reasoning: To multiply fractions, multiply the numerators and denominators separately.
(24/23) * (23/3) = (24*23) / (23*3) = 552 / 69.
### Answer: 552/69

Expected answer: 8

Correct? Yes

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

Mistral 7B:

 Reasoning: To divide fractions, we invert the second fraction and then multiply the two fractions.
(20 / 13) * (16 / 17) = (20 * 16) / (13 * 17) = <<(20*16)/(13*17)=160/221>>160/221
### Answer: 160/221

Expected answer: 320/221

Correct? No

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

Mistral 7B:

 Reasoning: The expression inside the parentheses is simplified first.
(5/5)*(4/1) = 1*4 = <<1*4=4>>4
### Answer: 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.

Mistral 7B:

 Reasoning: First, we calculate the product of the numerators: 30 * 19 = 570.
Then, we calculate the product of the denominators: 23 * 24 = 552.
Finally, we simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 2: 570 / 2 = 285 and 552 / 2 = 276.
### Answer: (30 / 23) * (19 / 24) = 285 / 276.

Expected answer: 95/92

Correct? Yes

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

Mistral 7B:

 Reasoning: First, we perform the multiplication operation: (23/26) * (16/1) = (23*16)/(26*1) = 368/26.
To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator, which is 26. We then divide both the numerator and the denominator by the GCD: 368/26 ÷ 26/26 = 14/1.
### Answer: 14/1 (which can be simplified to 14)

Expected answer: 184/13

Correct? No

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

Mistral 7B:

 Reasoning: To simplify the given fraction, we find the greatest common divisor (GCD) of the numerators and the denominators, and then divide both the numerator and the denominator by the GCD.

The GCD of 21 and 26 is 7.

So, the simplified fraction is (21/1) / (26/20) = (21/7) / (13/10) = (210/70).
### Answer: 210/70

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.

Mistral 7B:

 The given expression can be rewritten as: (24/19)*(21/19).
### Answer: (24/19)*(21/19) = 486/361

Alternatively, the expression can be simplified by multiplying the numerators and denominators separately:
(24*21)/(19*19) = 486/361
### Answer: (24/19)*(21/19) = 486/361

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.

Mistral 7B:

 Reasoning: To find the total amount of sugar needed, we multiply the amount of sugar called for in the original recipe by the multiplier: (12/2) * 1 = (12/2) * (14/14) = 12/1.
To find the total amount of flour needed, we multiply the amount of flour called for in the original recipe by the multiplier: (17/14) * 1 = (17/14) * (14/14) = 17/1.
### Answer: The total amount of sugar needed is 12/1 cups, and the total amount of flour needed is 17/1 cups.

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.

Mistral 7B:

 Reasoning: First, perform the division inside the parentheses:
(21 / 16) / (27 / 23) = (21 * 23) / (16 * 27) = 483 / 441

To simplify the fraction, we can find the greatest common divisor (GCD) of the numerator and the denominator:
GCD(483, 441) = 21

Now, divide both the numerator and the denominator by the GCD:
483 / 21 = 23 and 441 / 21 = 21

So, the simplified fraction is:
### Answer: 23/21

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)

Mistral 7B:

 Reasoning: To find the product of the fractions, we multiply the numerators and denominators separately: (11 * 24) / (20 * 12).
Simplifying the numerator: 11 * 24 = 264.
Simplifying the denominator: 20 * 12 = 240.
Now, we can find the simplified fraction: 264/240.
### Answer: (11 / 20) * (24 / 12) = 264/240.

Expected answer: 11/10

Correct? Yes

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

Mistral 7B:

 Reasoning: First, perform the multiplication operation: (6/19) * (28/2) = (168 / 38).
Since the greatest common divisor of 168 and 38 is 14, we can simplify the fraction by dividing both the numerator and the denominator by 14: (168/14) / (38/14) = 12/3.
### Answer: 12/3

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.

Mistral 7B:

  Reasoning: First, perform the division operations: (12 / 14) * (28 / 5) = (12 * 28) / (14 * 5).
Next, multiply the numbers: 12 * 28 = 336.
Then, multiply the denominators: 14 * 5 = 70.
Finally, divide the numerator by the denominator: 336 / 70.
To simplify the fraction to its lowest terms, we find the greatest common divisor (GCD) of the numerator and the denominator and divide both by it. The GCD of 336 and 70 is 4.
So, the simplified fraction is 336 / 70 divided by 4, which equals 84 / 17.
### Answer: 84/17

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.

Mistral 7B:

 Reasoning: First, perform the multiplication operation: (19/3) * (8/15) = 144/45.
Since 144 and 45 have a common factor of 12, we can simplify the fraction by dividing both the numerator and the denominator by 12: 144/45 ÷ 12/12 = 12/3.
### Answer: 12/3

Or, if you prefer, the fraction can be expressed as 4.
### Answer: 4 (or 4/1, if you prefer to write it as a fraction)

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.

Mistral 7B:

 Reasoning: First, perform the division operations:
(15 / 3) * (7 / 25) = (5 * 7) / (3 * 25) = 35 / 75

To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator:
GCD(35, 75) = 5

Now, we divide both the numerator and the denominator by the GCD:
35 / 5 = 7 and 75 / 5 = 15

So, the simplified fraction is 7 / 15.
### Answer: 7/15

Expected answer: 7/5

Correct? No

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

Mistral 7B:

 The equation (20 / 10) * (10 / 1) simplifies to (2 * 10) = <<2*10=20>>20.
### Answer: 20

Expected answer: 20

Correct? Yes

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

Mistral 7B:

 Reasoning: First, perform the multiplication inside the parentheses: (27/18) * (19/8) = (27*19)/(18*8) = 489/144.
To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator: GCD(489, 144) = 63.
So, the simplified fraction is 489/144 simplified to 7/2.
### Answer: 7/2

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.

Mistral 7B:

 To find the product of the fractions, we multiply the numerators and the denominators separately:

(29/5) * (13/24) = (29*13)/(5*24) = 367/120

To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator and divide both by it:

GCD(367, 120) = 13

367/13 = 29 (remainder 0)
120/13 = 9 (remainder 3)

Since the remainder is 0 for the numerator, the fraction is already simplified.

### Answer: 367/120 (simplified)

Expected answer: 377/120

Correct? No

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

Mistral 7B:

 Reasoning: First, we find the common denominator for the fractions 17 and 27, which is 136. Then, we multiply the numerator and denominator of the first fraction by 8 (the least common multiple of 17 and 136/17) to make the denominators equal. Similarly, we multiply the numerator and denominator of the second fraction by 11 (the least common multiple of 27 and 136/27) to make the denominators equal.

((29 / 17) / (27 / 22)) = ((29 * 8) / (17 * 8)) / ((27 * 11) / (22 * 11)) = (232 / 136) / (297 / 242) = (232 * 242) / (136 * 297) = 55842 / 38672

Now, we find the greatest common divisor of 55842 and 38672, which is 63. We divide both the numerator and the denominator by 63 to get the simplified fraction:

(55842 / 38672) / 63 = 88 / 61
### Answer: 88/61

Expected answer: 638/459

Correct? No

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

Mistral 7B:

  Reasoning: First, we perform the division operation inside the parentheses:
(27 / 6) * (25 / 5) = (4.5) * (5) = 22.5
### Answer: 22.5

Expected answer: 45/2

Correct? Yes

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

Mistral 7B:

 The expression (13 / 1) * (1 / 6) can be simplified by multiplying the numerators and denominators together:
(13 * 1) / (1 * 6) = 13 / 6
### Answer: 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.

Mistral 7B:

 Reasoning: To find the product of two fractions, multiply the numerators and denominators separately.
(25/20) * (11/6) = (25*11)/(20*6) = 275/120
To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator, and divide both by the GCD.
The GCD of 275 and 120 is 25.
275/120 simplifies to (275/25) / (120/25) = 11/4.
### Answer: 11/4

Expected answer: 55/24

Correct? No

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

Mistral 7B:

 Reasoning: First, we will perform the division operations inside the parentheses:
(7 / 2) / (25 / 10) = (7 / 2) * (10 / 25) = (7 * 10) / (2 * 25) = 70 / 50 = <<70/50=1.4>>1.4 (as a decimal)
However, since we are asked to provide the answer as a simplified fraction, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
1.4 = 70 / 50 = 14 / 10
### Answer: 14/10 (as a simplified fraction)

Expected answer: 7/5

Correct? Yes

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

Mistral 7B:

 Reasoning: To multiply two fractions, multiply the numerators and the denominators separately.
(15/16) * (29/27) = (15*29)/(16*27) = 435/448
Since 435 and 448 have a common multiple of 15, we can simplify the fraction by dividing both the numerator and the denominator by 15:
435/448 = (435/15) / (448/15) = 29/32
### Answer: 29/32

Expected answer: 145/144

Correct? No

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

Mistral 7B:

  Reasoning: First, we find the common denominator of the fractions, which is 25. Then, we rewrite the fractions as:
(30/25) * (25/10) = (3*5)/(5*5) * (5*5)/(10) = (15*5)/(25*10) = 15/100.
### Answer: 15/100 = 0.15 (when expressed as a decimal)

Expected answer: 3

Correct? No

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

Mistral 7B:

 Reasoning: To find the product of the fractions, multiply the numerators and denominators separately: (27*27)/(10*3). Simplify the product of the numerators by finding the greatest common divisor (GCD) of 27 and 27, which is 27. Simplify the product of the denominators by finding the GCD of 10 and 3, which is 3. So, the product of the fractions is (27^2)/(3*3) = 27^2/9. Simplify the fraction by finding the GCD of 27 and 9, which is 3. So, the simplest form of the product is (27^2)/3^2 = 27^2/9.
### Answer: 27^2/9

Expected answer: 243/10

Correct? No

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

Mistral 7B:

 Reasoning: First, perform the division operations inside the parentheses:
(10 / 8) * (30 / 26) = (5 / 4) * (30 / 26)
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and denominator of each fraction and divide both by it:
GCD(5, 4) = 1, so (5 / 4) = (5 / 4)
GCD(30, 26) = 2, so (30 / 26) = (15 / 13)
Now, multiply the simplified fractions:
(5 / 4) * (15 / 13) = (75 / 52)
### Answer: 75/52

Expected answer: 75/52

Correct? Yes

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

Mistral 7B:

 Reasoning: First, we find the common denominator for the fractions 20/22 and 14/11. The least common multiple of 22 and 11 is 66. We can rewrite the fractions as follows:

(20/22) * (14/11) = (20 * 14) / (22 * 11) = 280 / 242

Since 280 and 242 are not factors of each other, the fraction cannot be simplified further.
### Answer: 280/242

Expected answer: 140/121

Correct? Yes

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?

Mistral 7B:

 Reasoning: First, perform the multiplication operation: (25 / 8) * (3 / 4) = (75 / 32).
The result is a simplified fraction, as it cannot be simplified further.
Yes, the result signifies sharing or dividing 75 items into 32 equal portions.
### Answer: (75 / 32)

Alternatively, you can also write the answer as a mixed number:
### Answer: (75 / 32) = 1 21/32 (where 1 is the whole number part and 21/32 is the fractional part)

Expected answer: 75/32

Correct? Yes

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

Mistral 7B:

 Reasoning: Multiply the numbers with the same denominator, then simplify the fraction.
(29 / 1) * (8 / 15) = (29 * 8) / (1 * 15) = 232 / 15
### Answer: 232/15 (as a decimal: 15.466666666667)

Expected answer: 232/15

Correct? Yes

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

Mistral 7B:

 Reasoning: To multiply fractions, multiply the numerators and denominators separately.
(29/17) * (26/15) = (29*26) / (17*15) = 764 / 255
### Answer: 764/255

Expected answer: 754/255

Correct? No

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

Mistral 7B:

 Reasoning: The expression can be simplified by cancelling common factors in the numerator and denominator.
((25 / 5) * (16 / 8)) = (5 * 2) = 10
### Answer: 10 (as a simplified fraction, it is already in its simplest form)

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.

Mistral 7B:

 Reasoning: To multiply fractions, we multiply the numerators and denominators separately.
(23/4) * (10/12) = (23*10) / (4*12) = 230 / 48
To simplify the fraction, we find the greatest common divisor of the numerator and the denominator, which is 40.
230 / 48 = 65 / 12
### Answer: 65/12

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.

Mistral 7B:

 Reasoning: To find the product of two fractions, multiply the numerators and denominators separately.
(21/26) * (20/9) = (21*20) / (26*9) = 420 / 234
To simplify the fraction, find the greatest common divisor (GCD) of the numerator and the denominator, and divide both by the GCD.
GCD(420, 234) = 66
420 / 66 = 6 and 234 / 66 = 3.578947368421053
So, the simplest form of the product is 6.
### Answer: 6

Expected answer: 70/39

Correct? No

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

Mistral 7B:

 Reasoning: First, calculate the multiplication: (17/13) * (15/6) = (17*15)/(13*6) = 255/78.
Since 255 and 78 have no common factors other than 1, the fraction is already in its simplest form.
### Answer: 255/78.

Expected answer: 85/26

Correct? Yes

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

Mistral 7B:

 Reasoning: First, perform the multiplication inside the parentheses: (25/18) * (17/6) = (25*17) / (18*6).
Next, simplify the numerator and denominator by finding the greatest common divisor (GCD) of the numbers in the numerator and the numbers in the denominator:
GCD(25, 17) = 1, GCD(18, 6) = 6.
So, the fraction simplifies to (25*17)/(18*6) = (425)/(108).
### Answer: 425/108

Expected answer: 425/108

Correct? Yes

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.

Mistral 7B:

 The result of multiplying 9 (which is a fraction equivalent to 9/1) by 2/17 can be calculated as follows:

(9/1) * (2/17) = (9 * 2) / (1 * 17) = 18 / 17

Since 18 and 17 have no common factors other than 1, the fraction 18/17 is already in its simplest form.
### Answer: 18/17

Expected answer: 18/17

Correct? Yes

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

Mistral 7B:

 Reasoning: To multiply fractions, we multiply the numerators and denominators separately.
(27/14) * (19/14) = (27*19) / (14*14) = 513 / 196

To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator and divide both by it.
The GCD of 513 and 196 is 13.
513 / 13 = 39 and 196 / 13 = 15
So, the simplified fraction is 39/15.
### Answer: 39/15

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.

Mistral 7B:

 The expression (16 / 5) * (5 / 15) can be simplified by canceling common factors:
(16 / 5) * (5 / 15) = (16 * 5) / (5 * 15) = 80 / 75

The simplified fraction of 80/75 is 8/9.
### Answer: 8/9

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.

Mistral 7B:

 Reasoning: To multiply fractions, multiply the numerators and denominators separately.
(8/3) * (18/21) = (8*18) / (3*21) = 144 / 63
To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator and divide both by it.
The GCD of 144 and 63 is 27.
144 / 27 = 5 and 63 / 27 = 2.
So, the simplified fraction is 5/2.
### Answer: 5/2

Expected answer: 16/7

Correct? No

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

Mistral 7B:

 Reasoning: To simplify the expression, we first find the least common multiple (LCM) of the denominators 6 and 16, which is 48. Then, we multiply both the numerator and the denominator of each fraction by the factor that makes the denominators equal.

((14 / 6) / (22 / 16)) = ((14 * 8) / (6 * 8)) / ((22 * 2) / (16 * 2)) = (112 / 48) / (44 / 32) = (112 / 48) * (32 / 44) = (112 * 32) / (48 * 44) = 3584 / 2016

To simplify the fraction, we find the greatest common factor (GCF) of the numerator and the denominator, which is 12. Then, we divide both the numerator and the denominator by the GCF.

3584 / 2016 = (3584 / 12) / (2016 / 12) = (3584 / 12) * (12 / 2016) = (3584 * 12) / (12 * 2016) = 430 / 2016

### Answer: 430/2016

Expected answer: 56/33

Correct? No

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

Mistral 7B:

  Reasoning: To multiply fractions, multiply the numerators and denominators separately: (16 * 25) / (3 * 26).
(400) / 78 = 5.13 (rounded to two decimal places)
### Answer: 5.13

Alternatively, you can simplify the fractions before multiplying:
16/3 can be simplified to 16/3, and 25/26 cannot be simplified further.
(16 * 25) / (3 * 26) = (400) / 78 = 5.13 (rounded to two decimal places)
### Answer: 5.13

Expected answer: 200/39

Correct? No

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

Mistral 7B:

 The given expression is already simplified, as the numerators and denominators are the same.
### Answer: (16 / 16) * (26 / 22) = 1

Alternatively, you can simplify the expression by canceling common factors:
(16 / 16) * (26 / 22) = (1 * 26) / (1 * 22) = 26 / 22

Since 26 and 22 have no common factors other than 1, the fraction is already in its simplest form.
### Answer: (16 / 16) * (26 / 22) = 26 / 22

However, since the question asked for a simplified fraction, the final answer is 1.

Expected answer: 13/11

Correct? No

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

Mistral 7B:

 Reasoning: First, perform the multiplication operation: (17/5) * (5/14) = 17/5 * 5/14 = 85/140.
To simplify the fraction, we can find the greatest common divisor (GCD) of the numerator and the denominator, which is 15.
Then, divide both the numerator and the denominator by the GCD: 85/140 = (85/15) / (140/15) = 5/9.
### Answer: 5/9

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.

Mistral 7B:

 To multiply fractions, we multiply the numerators and denominators separately:
(16/6) * (29/27) = (16*29) / (6*27) = 464 / 162
To simplify the fraction, we find the greatest common divisor (GCD) of the numerator and the denominator:
GCD(464, 162) = 72
Now, we divide both the numerator and the denominator by the GCD:
464 / 72 = 6 and 162 / 72 = 2
So, the simplified fraction is 6/2.
### Answer: 6/2

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.

Mistral 7B:

 Reasoning: The car consumes 16/10 gallons of petrol for every mile, and the route is 13/17 of a mile long.
The car consumes (16/10)*(13/17) gallons of petrol when it finishes the drive.
To simplify the fraction, we can find the greatest common divisor of 16, 10, 13, and 17. The greatest common divisor of 16 and 10 is 4, and the greatest common divisor of 13 and 17 is 1.
So, the simplified fraction is (16/10)*(13/17) = (4*4)*(13/17) = (52/10)*(13/17) = <<(52/10)*(13/17)=(52*13)/(10*17)>>(52*13)/(10*17).
### Answer: (52*13)/(10*17)

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)

Mistral 7B:

 Reasoning: To find the result, we first need to find the common denominator for the fractions 29/10 and 18/16. The least common multiple of 10 and 16 is 40, so we multiply both the numerator and denominator of each fraction by the necessary factors to get the same denominator.

For 29/10, we multiply the numerator by 4 and the denominator by 4 to get 116/40.
For 18/16, we multiply the numerator by 1 and the denominator by 2 to get 18/20.

Now, we compare the fractions and find that 116/40 is greater than 18/20. To make them equal, we multiply the fraction 18/20 by 2/2, which gives us 36/40.

Now, we subtract the smaller fraction from the larger one: 116/40 - 36/40 = 80/40.

Finally, we simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 8: 80/40 / 8/8 = 10/5.
### Answer: 10/5

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.

Mistral 7B:

  Reasoning: To multiply complex fractions, we first find the least common multiple (LCM) of the denominators (12 and 3) which is 12. Then we multiply the numerators and the denominators separately.
(15/12) * (27/3) = (15*27)/(12*3) = (405/36)
### Answer: 405/36 (which can be simplified to 15/4)

Expected answer: 45/4

Correct? Yes

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

Mistral 7B:

 The expression (7 / 7) * (12 / 12) is equal to 1 * 1, which equals 1.
### Answer: 1

Expected answer: 1

Correct? Yes

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

Mistral 7B:

 Reasoning: First, we simplify the given expression by finding the common denominator, which is 24.

((28 / 6) * (16 / 24)) = (4 * 2) / 24 = 8 / 24

Now, we simplify the fraction by finding the greatest common divisor of the numerator and the denominator, which is 8.

8 / 24 = 2 / 6

### Answer: 2/6

Expected answer: 28/9

Correct? No