Problem: Math problem: Determine the value of the sum when adding (74 / 63) and (91 / 78).

Llama 3 8B:

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

1. Divide 74 by 63: 74 ÷ 63 = 1.18
2. Divide 91 by 78: 91 ÷ 78 = 1.17
3. Add the two results: 1.18 + 1.17 = 2.35

### Answer: 2.35

Expected answer: 295/126

Correct? No

Problem: What is the result of adding 94/5 to 1/25?

Llama 3 8B:

To add 94/5 to 1/25, we need to find a common denominator. The least common multiple (LCM) of 5 and 25 is 25. So, we can rewrite 94/5 as:

94/5 = 94 × 5/25 = 94 × 1/5 = 18.8

Now, we can add:

18.8 + 1/25 = 18.8 + 0.04 = 18.92

### Answer: 18.92

Expected answer: 471/25

Correct? No

Problem: What is the result of subtracting 48/20 from 49/8? Answer as a simplified fraction.

Llama 3 8B:

To subtract 48/20 from 49/8, we need to find a common denominator for both fractions. The least common multiple (LCM) of 20 and 8 is 40. So, we can rewrite both fractions with a denominator of 40:

48/20 = 96/40
49/8 = 49/8 × 5/5 = 245/40

Now we can subtract:

(96/40) - (245/40) = -149/40

### Answer: -149/40

Expected answer: 149/40

Correct? Yes

Problem: Calculate the value of the expression ((45 / 5) - (6 / 47)).

Llama 3 8B:

Reasoning: First, we need to evaluate the expressions inside the parentheses.

(45 / 5) = 9

(6 / 47) = 0.128 (approximately)

Now, we can evaluate the expression:

9 - 0.128 = 8.872 (approximately)

### Answer: 8.872

Expected answer: 417/47

Correct? No

Problem: What is the sum of 22/49 and 72/35? Provide your answer as a simplified fraction.

Llama 3 8B:

To add these fractions, we need to have the same denominator. The least common multiple (LCM) of 49 and 35 is 735. So, we can rewrite the fractions with the LCM as the denominator:

22/49 = 154/735
72/35 = 156/735

Now we can add the fractions:

154/735 + 156/735 = 310/735

Simplifying the fraction, we get:

310/735 = 31/73

### Answer: 31/73

Expected answer: 614/245

Correct? No

Problem: What is the result of (39 / 9) - (44 / 69)?

Llama 3 8B:

Reasoning: First, we need to evaluate the expressions inside the parentheses.

(39 / 9) = 39 ÷ 9 = 4.33

(44 / 69) = 44 ÷ 69 = 0.637

Now, we can subtract the two results:

4.33 - 0.637 = 3.693

### Answer: 3.693

Expected answer: 85/23

Correct? No

Problem: Calculate the sum of 49/79 and 18/21.

Llama 3 8B:

Reasoning: To calculate the sum, we need to find the value of each fraction separately and then add them together.

First, we can simplify the fractions by finding the greatest common divisor (GCD) of the numerator and denominator:

49/79 = 7/11 (since 7 is the GCD of 49 and 79)
18/21 = 6/7 (since 6 is the GCD of 18 and 21)

Now we can calculate the sum:

7/11 + 6/7 = (7*7 + 6*11) / (11*7) = 53/77

### Answer: 53/77

Expected answer: 817/553

Correct? No

Problem: What is the sum of 95/46 and 65/31?

Llama 3 8B:

Reasoning: To find the sum, we need to find the value of each fraction first. To do this, we can divide the numerator by the denominator.

95/46 = 95 ÷ 46 = 2.07

65/31 = 65 ÷ 31 = 2.10

Now, we can add the two values together:

2.07 + 2.10 = 4.17

### Answer: 4.17

Expected answer: 5935/1426

Correct? No

Problem: What is the sum of 25 over 63 and 74 over 6?

Llama 3 8B:

Reasoning: To find the sum, we need to add the two fractions together. First, we need to find a common denominator, which is 6 in this case. So, we can rewrite 25/63 as 25/63 * 1/1 = 25/189. Now we can add:

(25/189) + (74/6) = (25/189) + (74*31/6*31) = (25/189) + (2232/186) = (2237/186)

### Answer: 2237/186

Expected answer: 802/63

Correct? No

Problem: What is the sum of 79/91 and 100/47?

Llama 3 8B:

To find the sum, we need to add the two fractions:

79/91 + 100/47 = ?

First, we need to find a common denominator for both fractions. The least common multiple (LCM) of 91 and 47 is 473. So, we can convert both fractions to have a denominator of 473:

79/91 = 349/473 (multiply numerator and denominator by 5)
100/47 = 206/473 (multiply numerator and denominator by 10)

Now we can add the fractions:

349/473 + 206/473 = 555/473

### Answer: 555/473

Expected answer: 12813/4277

Correct? No

Problem: What is the result of ((55 / 47) + (72 / 21))?

Llama 3 8B:

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

1. Divide 55 by 47: 55 / 47 = 1.17021
2. Divide 72 by 21: 72 / 21 = 3.42857
3. Add the results: 1.17021 + 3.42857 = 4.59878

### Answer: 4.59878

Expected answer: 1513/329

Correct? No

Problem: What is the sum of 86/62 and 99/41?

Llama 3 8B:

To find the sum, we need to simplify each fraction and then add them together.

86/62 = 1.39 (approximately)

99/41 = 2.41 (approximately)

The sum is: 1.39 + 2.41 = 3.80

### Answer: 3.80

Expected answer: 4832/1271

Correct? No

Problem: Calculate the sum of 87/88 and 24/13.

Llama 3 8B:

To calculate the sum, we need to simplify each fraction first:

87/88 = 0.988 (approximately)
24/13 = 1.846 (approximately)

Now, we can add the two numbers:

0.988 + 1.846 = 2.834

### Answer: 2.834

Expected answer: 3243/1144

Correct? No

Problem: Calculate ((68 / 33) + (70 / 25)). Write your answer in its simplest form.

Llama 3 8B:

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

1. Divide 68 by 33: 68 ÷ 33 = 2
2. Divide 70 by 25: 70 ÷ 25 = 2.8
3. Add the results: 2 + 2.8 = 4.8

To simplify the answer, we can write it as a mixed number: 4 4/5.

### Answer: 4 4/5

Expected answer: 802/165

Correct? No

Problem: What is the summation of 35/97 and 11/9? Express the result in simplest form.

Llama 3 8B:

To find the summation, we need to add the two fractions:

35/97 + 11/9 = ?

First, we need to find a common denominator for both fractions. The least common multiple (LCM) of 97 and 9 is 873. So, we can convert both fractions to have a denominator of 873:

35/97 = 315/873
11/9 = 99/873

Now, we can add the fractions:

315/873 + 99/873 = 414/873

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

414 ÷ 3 = 138
873 ÷ 3 = 291

So, the simplified fraction is:

138/291

### Answer: 138/291

Expected answer: 1382/873

Correct? No

Problem: What is the result of subtracting 79/70 from 11/5?

Llama 3 8B:

To subtract 79/70 from 11/5, we need to find a common denominator. The least common multiple (LCM) of 5 and 70 is 70. So, we can rewrite 11/5 as 22/10, which is equal to 22/10.

Now, we can subtract:

(22/10) - (79/70) = ?

To subtract the fractions, we need to have the same denominator, which is 70. So, we can rewrite 22/10 as 154/70.

Now, we can subtract:

154/70 - 79/70 = 75/70

### Answer: 75/70

Expected answer: 15/14

Correct? Yes

Problem: What is the sum of 68/16 and 52/78?

Llama 3 8B:

Reasoning: To find the sum, we need to first simplify each fraction:

68/16 = 17/4 (by dividing both numerator and denominator by 4)
52/78 = 26/39 (by dividing both numerator and denominator by 3)

Now, we can add the two fractions:

17/4 + 26/39 = ?

To add these fractions, we need a common denominator, which is 156 (the least common multiple of 4 and 39). So, we can rewrite each fraction with a denominator of 156:

17/4 = 663/156
26/39 = 208/156

Now, we can add:

663/156 + 208/156 = 871/156

### Answer: 871/156

Expected answer: 59/12

Correct? No

Problem: Find the sum of 21/75 and 44/47.

Llama 3 8B:

To find the sum, we need to add the two fractions:

21/75 + 44/47 = ?

First, we need to find a common denominator for both fractions. The least common multiple (LCM) of 75 and 47 is 355. So, we can convert both fractions to have a denominator of 355:

21/75 = 91/355
44/47 = 176/355

Now we can add the fractions:

91/355 + 176/355 = 267/355

### Answer: 267/355

Expected answer: 1429/1175

Correct? No

Problem: Calculate the result of (77/5 + 4/11).

Llama 3 8B:

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

1. Divide 77 by 5: 77/5 = 15.4
2. Divide 4 by 11: 4/11 = 0.36
3. Add the results: 15.4 + 0.36 = 15.76

### Answer: 15.76

Expected answer: 867/55

Correct? No

Problem: What's the sum of 60/48 and 37/47?

Llama 3 8B:

Reasoning: To find the sum, we need to simplify each fraction first.

60/48 = 5/4 (by dividing both numerator and denominator by their greatest common divisor, which is 12)

37/47 = 37/47 (since 47 is a prime number, it cannot be simplified further)

Now, we can add the two fractions:

5/4 + 37/47 = (5*47 + 37*4) / (4*47) = (235 + 148) / 188 = 383 / 188

### Answer: 383/188

Expected answer: 383/188

Correct? Yes

Problem: Solve ((14 / 72) + (25 / 6)).

Llama 3 8B:

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

1. Divide 14 by 72: 14 / 72 = 0.1944
2. Divide 25 by 6: 25 / 6 = 4.1667
3. Add the two results: 0.1944 + 4.1667 = 4.3611

### Answer: 4.3611

Expected answer: 157/36

Correct? No

Problem: What is the sum of 84/97 and 25/2?

Llama 3 8B:

Reasoning: To find the sum, we need to simplify each fraction and then add them together.

First, let's simplify the fractions:

84/97 = 0.8660256... (approximately)
25/2 = 12.5

Now, let's add them together:

0.8660256... + 12.5 = 13.3660256... (approximately)

### Answer: 13.3660256... (approximately)

Expected answer: 2593/194

Correct? No

Problem: What is the difference between the fractions 66/20 and 4/78?

Llama 3 8B:

To find the difference between the two fractions, we need to find a common denominator. The least common multiple (LCM) of 20 and 78 is 780. So, we can convert both fractions to have a denominator of 780:

66/20 = 331/780
4/78 = 20/780

Now, we can find the difference:

331/780 - 20/780 = 311/780

### Answer: 311/780

Expected answer: 1267/390

Correct? No

Problem: Calculate the expression: 83 divided by 37 minus 12 divided by 14.

Llama 3 8B:

Reasoning: First, we need to calculate the division operations:
83 divided by 37 = 83/37 = 2.24
12 divided by 14 = 12/14 = 0.86

Then, we can calculate the subtraction:
2.24 - 0.86 = 1.38

### Answer: 1.38

Expected answer: 359/259

Correct? No

Problem: What is the sum of 95/57 and 28/80?

Llama 3 8B:

Reasoning: To find the sum, we need to first simplify each fraction by dividing both the numerator and the denominator by their greatest common divisor.

For 95/57, the greatest common divisor is 1, so the fraction remains the same.

For 28/80, the greatest common divisor is 4, so we can simplify the fraction to 7/20.

Now, we can add the two fractions:

95/57 + 7/20 = (95*20 + 57*7) / (57*20)
= (1900 + 399) / 1140
= 2299 / 1140

To simplify the fraction further, we can divide both the numerator and the denominator by their greatest common divisor, which is 1.

So, the sum is 2299/1140.

### Answer: 2299/1140

Expected answer: 121/60

Correct? Yes

Problem: Calculate the sum of 14/57 and 92/42.

Llama 3 8B:

To calculate the sum, we need to simplify each fraction and then add them together.

First, let's simplify the fractions:

14/57 = 2/9 (by dividing both numerator and denominator by 7)
92/42 = 4/3 (by dividing both numerator and denominator by 2)

Now, we can add the simplified fractions:

2/9 + 4/3 = ?

To add these fractions, we need to find a common denominator, which is 9. So, we can rewrite 4/3 as 8/9:

2/9 + 8/9 = 10/9

### Answer: 10/9

Expected answer: 324/133

Correct? No

Problem: What is the result of ((77 / 55) + (6 / 5))?

Llama 3 8B:

Reasoning: First, we need to evaluate the expressions inside the parentheses.

(77 / 55) = 1.4

(6 / 5) = 1.2

Now, we can add these two expressions:

1.4 + 1.2 = 2.6

### Answer: 2.6

Expected answer: 13/5

Correct? Yes

Problem: Calculate the value of (56 / 8) + (90 / 86). How much does it equal?

Llama 3 8B:

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

1. Divide 56 by 8: 56 ÷ 8 = 7
2. Divide 90 by 86: 90 ÷ 86 = 1.047
3. Add the results: 7 + 1.047 = 8.047

### Answer: 8.047

Expected answer: 346/43

Correct? No

Problem: What is the sum of 23/20 and 82/97?

Llama 3 8B:

To find the sum, we need to add the two fractions:

23/20 + 82/97 = ?

First, we need to find a common denominator for both fractions. The least common multiple (LCM) of 20 and 97 is 1880. So, we can convert both fractions to have a denominator of 1880:

23/20 = 184/1880 (multiply numerator and denominator by 94)
82/97 = 784/1880 (multiply numerator and denominator by 80)

Now we can add the fractions:

184/1880 + 784/1880 = 968/1880

### Answer: 968/1880

Expected answer: 3871/1940

Correct? No

Problem: Calculate the sum of 54/88 and 28/10.

Llama 3 8B:

Reasoning: To calculate the sum, we need to first simplify the fractions by finding the common denominator, which is 440.

54/88 = 27/44
28/10 = 28/10

Now, we can add the simplified fractions:

27/44 + 28/10 = 27/44 + 308/440

To add these fractions, we need to find a common denominator, which is 440. So, we can rewrite the fractions as:

27/44 = 297/440
28/10 = 308/440

Now, we can add the fractions:

297/440 + 308/440 = 605/440

### Answer: 605/440

Expected answer: 751/220

Correct? No

Problem: What is the result of the following operation: 7 / 69 + 71 / 47?

Llama 3 8B:

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

1. Divide 7 by 69: 7 / 69 = 0.1014
2. Divide 71 by 47: 71 / 47 = 1.5117
3. Add the results: 0.1014 + 1.5117 = 1.6131

### Answer: 1.6131

Expected answer: 5228/3243

Correct? No

Problem: What is the sum of 15/32 and 65/15?

Llama 3 8B:

To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 32 and 15 is 240. So, we can convert both fractions to have a denominator of 240:

15/32 = (15*15)/(32*15) = 225/240
65/15 = (65*16)/(15*16) = 1040/240

Now we can add the fractions:

225/240 + 1040/240 = 1265/240

### Answer: 1265/240

Expected answer: 461/96

Correct? No

Problem: What is the sum of 4/31 and 76/11?

Llama 3 8B:

To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 31 and 11 is 31. So, we can rewrite the fractions with a denominator of 31:

4/31 = 4/31
76/11 = 228/31

Now we can add the fractions:

4/31 + 228/31 = 232/31

### Answer: 232/31

Expected answer: 2400/341

Correct? No

Problem: What is the sum when you add 82/15 to 100/12?

Llama 3 8B:

To add these two fractions, we need to find a common denominator. The least common multiple (LCM) of 15 and 12 is 60. So, we can convert both fractions to have a denominator of 60:

82/15 = (82 × 4) / (15 × 4) = 328/60
100/12 = (100 × 5) / (12 × 5) = 500/60

Now we can add the fractions:

328/60 + 500/60 = (328 + 500) / 60 = 828/60

### Answer: 828/60

Expected answer: 69/5

Correct? Yes

Problem: Calculate the result of the expression ((92 / 29) + (41 / 33)). Write your answer as a simplified fraction or a whole number.

Llama 3 8B:

Reasoning: First, we need to evaluate the expressions inside the parentheses.

(92 / 29) = 3.172413793103448 (approximately)

(41 / 33) = 1.242424242424242 (approximately)

Now, we add these two expressions:

3.172413793103448 + 1.242424242424242 = 4.41483703552769 (approximately)

Since the result is an irrational number, we can simplify it by converting it to a decimal:

4.41483703552769 ≈ 4.41

### Answer: 4

Expected answer: 4225/957

Correct? No

Problem: What is the sum of 57/29 and 14/98?

Llama 3 8B:

Reasoning: To add these fractions, we need to find a common denominator. The least common multiple of 29 and 98 is 986. So, we can rewrite the fractions as:

57/29 = 196/986
14/98 = 14/98

Now we can add them:

196/986 + 14/986 = 210/986

### Answer: 210/986

Expected answer: 428/203

Correct? No

Problem: Solve the given expression: 70/25 + 83/28.

Llama 3 8B:

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

1. Divide 70 by 25: 70/25 = 2.8
2. Divide 83 by 28: 83/28 = 2.96
3. Add the two results: 2.8 + 2.96 = 5.76

### Answer: 5.76

Expected answer: 807/140

Correct? No

Problem: What is the result of adding the fractions 50/73 and 20/23?

Llama 3 8B:

To add the fractions 50/73 and 20/23, we need to find a common denominator. The least common multiple (LCM) of 73 and 23 is 667. So, we can rewrite the fractions with a denominator of 667:

50/73 = 100/667
20/23 = 260/667

Now we can add the fractions:

100/667 + 260/667 = 360/667

### Answer: 360/667

Expected answer: 2610/1679

Correct? No

Problem: What is the value of ((49 / 57) + (89 / 99))?

Llama 3 8B:

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

1. Divide 49 by 57: 49 / 57 = 0.86
2. Divide 89 by 99: 89 / 99 = 0.90
3. Add the two results: 0.86 + 0.90 = 1.76

### Answer: 1.76

Expected answer: 3308/1881

Correct? No

Problem: Calculate the result of 94 / 35 - 23 / 49. Report your answer as a simplified fraction.

Llama 3 8B:

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

1. Divide 94 by 35: 94 ÷ 35 = 2 29/35
2. Divide 23 by 49: 23 ÷ 49 = 1/2
3. Subtract 1/2 from 2 29/35:

2 29/35 - 1/2 = 2 29/35 - 0.5

To subtract a fraction from a mixed number, we need to convert the mixed number to an improper fraction:

2 29/35 = 103/35

Now we can subtract:

103/35 - 0.5 = 103/35 - 7/14 (convert 0.5 to a fraction)

= (103/35) - (7/14)

= (103/35) × (14/14) - (7/14)

= (103 × 14)/(35 × 14) - 7/14

= 1437/140 - 7/14

= (1437 - 98)/140

= 1339/140

So, the result is:

### Answer: 1339/140

Expected answer: 543/245

Correct? No

Problem: Calculate the sum of 58/30 and 49/37 and leave your answer as a fraction.

Llama 3 8B:

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

1. Divide 58 by 30: 58 ÷ 30 = 1 28/30
2. Divide 49 by 37: 49 ÷ 37 = 1 12/37
3. Add the two results: 1 28/30 + 1 12/37

To add fractions, we need to have the same denominator. The least common multiple (LCM) of 30 and 37 is 30. So, we can convert 12/37 to 24/74:

1 28/30 + 1 24/74

Now, we can add the numerators:

1 28 + 1 24 = 2 52

The denominator remains the same, which is 30. So, the sum is:

2 52/30

### Answer: 2 52/30

Expected answer: 1808/555

Correct? No

Problem: Calculate the sum of 45/53 and 71/50.

Llama 3 8B:

Reasoning: To calculate the sum, we need to first calculate the value of each fraction.

45/53 = 0.849 (approximately)
71/50 = 1.42 (approximately)

Then, we add the two values together:

0.849 + 1.42 = 2.269 (approximately)

### Answer: 2.269

Expected answer: 6013/2650

Correct? No

Problem: Calculate the sum of 36/72 and 49/1.

Llama 3 8B:

Reasoning: To calculate the sum, we need to first simplify the fractions by finding the common denominator, which is 72.

36/72 = 1/2
49/1 = 49/1 (no simplification needed)

Now, we can add the two fractions:

1/2 + 49/1 = 98/2

To simplify the fraction 98/2, we can divide both the numerator and the denominator by their greatest common divisor, which is 2:

98 ÷ 2 = 49
2 ÷ 2 = 1

So, the simplified fraction is:

49/1

### Answer: 49

Expected answer: 99/2

Correct? No

Problem: What is the sum of 61/20 and 29/15?

Llama 3 8B:

To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 20 and 15 is 60. So, we can rewrite the fractions with a denominator of 60:

61/20 = 183/60
29/15 = 116/60

Now we can add them:

183/60 + 116/60 = 299/60

### Answer: 299/60

Expected answer: 299/60

Correct? Yes

Problem: Solve the expression ((33 / 90) + (77 / 79)). Give your answer as an unsimplified fraction.

Llama 3 8B:

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

1. Divide 33 by 90: 33/90 = 0.37
2. Divide 77 by 79: 77/79 = 0.97
3. Add the two results: 0.37 + 0.97 = 1.34

So, the expression evaluates to:

((33 / 90) + (77 / 79)) = 1.34

### Answer: 1.34

Expected answer: 3179/2370

Correct? No

Problem: What is the sum of 30/79 and 29/6? Give your answer as a fraction.

Llama 3 8B:

To find the sum, we need to add the two fractions:

30/79 + 29/6 = ?

First, we need to find a common denominator for both fractions. The least common multiple (LCM) of 79 and 6 is 438. So, we can rewrite each fraction with a denominator of 438:

30/79 = 210/438 (multiply numerator and denominator by 6)
29/6 = 241/438 (multiply numerator and denominator by 73)

Now we can add the fractions:

210/438 + 241/438 = 451/438

### Answer: 451/438

Expected answer: 2471/474

Correct? No

Problem: What is the answer when you subtract 11/66 from 59/2?

Llama 3 8B:

To subtract 11/66 from 59/2, we need to find a common denominator for both fractions. The least common multiple (LCM) of 2 and 66 is 66. So, we can rewrite 59/2 as 297/66.

Now, we can subtract:

297/66 - 11/66 = (297 - 11)/66 = 286/66

### Answer: 286/66

Expected answer: 88/3

Correct? No

Problem: Consider these two fractions: 58/23 and 25/26. What is the sum when those two fractions are added together?

Llama 3 8B:

To add these two fractions, we need to find a common denominator. The least common multiple (LCM) of 23 and 26 is 598. So, we can convert both fractions to have a denominator of 598:

58/23 = 116/46*23 = 116*13/46*13 = 1512/598
25/26 = 25*23/26*23 = 575/598

Now we can add the numerators:

1512 + 575 = 2087

So, the sum of the two fractions is:

2087/598

### Answer: 2087/598

Expected answer: 2083/598

Correct? No

Problem: Calculate the sum of the fractions 70/13 and 17/52.

Llama 3 8B:

To calculate the sum of the fractions, we need to find a common denominator. The least common multiple (LCM) of 13 and 52 is 676. So, we can convert both fractions to have a denominator of 676:

70/13 = 3640/676
17/52 = 289/676

Now, we can add the fractions:

3640/676 + 289/676 = 3929/676

### Answer: 3929/676

Expected answer: 297/52

Correct? No

Problem: What is the sum of 78/44 and 17/91?

Llama 3 8B:

Reasoning: To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 44 and 91 is 572. So, we can convert both fractions to have a denominator of 572:

78/44 = 117/572
17/91 = 34/572

Now we can add the fractions:

117/572 + 34/572 = 151/572

### Answer: 151/572

Expected answer: 3923/2002

Correct? No

Problem: What is the sum of 43/4 and 71/4?

Llama 3 8B:

Reasoning: To find the sum, we need to add the two fractions. We can do this by finding a common denominator, which is 4 in this case. So, we can rewrite the fractions as:

43/4 = 43/4
71/4 = 71/4

Now, we can add the numerators (the numbers on top):

43 + 71 = 114

So, the sum is:

114/4

### Answer: 114/4

Expected answer: 57/2

Correct? Yes

Problem: What is the result of adding the fractions 17/74 and 53/27?

Llama 3 8B:

To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 74 and 27 is 618. So, we can rewrite the fractions with a denominator of 618:

17/74 = 51/618
53/27 = 206/618

Now we can add the fractions:

51/618 + 206/618 = 257/618

### Answer: 257/618

Expected answer: 4381/1998

Correct? No

Problem: Compute the value of (76/76) + (96/16).

Llama 3 8B:

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

1. Divide 96 by 16: 96/16 = 6
2. Divide 76 by 76: 76/76 = 1
3. Add the results: 1 + 6 = 7

### Answer: 7

Expected answer: 7

Correct? Yes

Problem: What is the result of ((94 / 14) - (50 / 90))? Answer as a simplified fraction.

Llama 3 8B:

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

1. Divide 94 by 14: 94 / 14 = 6.71 (approximately)
2. Divide 50 by 90: 50 / 90 = 0.555... (approximately)
3. Subtract the two results: 6.71 - 0.555... = 6.155... (approximately)

Since we are asked to simplify the fraction, we can approximate the decimal values:

6.155... ≈ 6 1/6

So, the simplified fraction is:

6 1/6

### Answer: 6 1/6

Expected answer: 388/63

Correct? No

Problem: What is the result of subtracting twenty-nine seventy-ninths from thirty-three sevenths?

Llama 3 8B:

Let's convert both fractions to have the same denominator, which is 63.

Thirty-three sevenths can be written as 33/7 = 99/21.

Twenty-nine seventy-ninths can be written as 29/9 = 287/63.

Now, subtract 287/63 from 99/21:

(99/21) - (287/63) = (99/21) - (99*7/63) = (99/21) - (693/63) = 99/21 - 11 = 88/21

### Answer: 88/21

Expected answer: 2404/553

Correct? No

Problem: What is the sum of 60/79 and 53/38?

Llama 3 8B:

To find the sum, we need to add the two fractions:

60/79 + 53/38 = ?

First, we need to find a common denominator for both fractions. The least common multiple (LCM) of 79 and 38 is 302. So, we can convert both fractions to have a denominator of 302:

60/79 = 120/302 (multiply numerator and denominator by 4)
53/38 = 159/302 (multiply numerator and denominator by 8)

Now we can add the fractions:

120/302 + 159/302 = 279/302

### Answer: 279/302

Expected answer: 6467/3002

Correct? No

Problem: Solve the following fraction equation: 39/48 + 19/84.

Llama 3 8B:

To solve the equation, we need to find a common denominator for both fractions. The least common multiple (LCM) of 48 and 84 is 168. So, we can rewrite the fractions with a denominator of 168:

39/48 = 91/168 (multiply numerator and denominator by 3.5)
19/84 = 23/168 (multiply numerator and denominator by 2)

Now we can add the fractions:

91/168 + 23/168 = 114/168

### Answer: 5/7

Expected answer: 349/336

Correct? No

Problem: What is the sum of 16/86 and 60/3?

Llama 3 8B:

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

1. Divide 16 by 86: 16/86 = 0.186
2. Divide 60 by 3: 60/3 = 20
3. Add the two results: 0.186 + 20 = 20.186

### Answer: 20.186

Expected answer: 868/43

Correct? No

Problem: Solve the following equation: ((95 / 69) + (67 / 9))

Llama 3 8B:

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

1. Divide 95 by 69: 95 / 69 = 1.38
2. Divide 67 by 9: 67 / 9 = 7.44
3. Add the two results: 1.38 + 7.44 = 8.82

### Answer: 8.82

Expected answer: 1826/207

Correct? No

Problem: Calculate the result of 95 / 16 - 43 / 60.

Llama 3 8B:

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

1. Divide 95 by 16: 95 / 16 = 5.9375
2. Divide 43 by 60: 43 / 60 = 0.717
3. Subtract the result of step 2 from the result of step 1: 5.9375 - 0.717 = 5.2205

### Answer: 5.2205

Expected answer: 1253/240

Correct? No

Problem: What is the sum of the fractions 38/8 and 4/16?

Llama 3 8B:

To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 8 and 16 is 16. So, we can rewrite the first fraction with a denominator of 16:

38/8 = 76/16

Now we can add the fractions:

76/16 + 4/16 = 80/16

### Answer: 80/16

Expected answer: 5

Correct? Yes

Problem: Calculate the result of 67 / 15 - 27 / 12.

Llama 3 8B:

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

1. Divide 67 by 15: 67 ÷ 15 = 4.47
2. Divide 27 by 12: 27 ÷ 12 = 2.25
3. Subtract 2.25 from 4.47: 4.47 - 2.25 = 2.22

### Answer: 2.22

Expected answer: 133/60

Correct? No

Problem: Calculate the sum of 38/59 and 80/94.

Llama 3 8B:

Reasoning: To calculate the sum, we need to first simplify each fraction by dividing both the numerator and the denominator by their greatest common divisor.

For 38/59, the greatest common divisor is 1, so the fraction remains the same.

For 80/94, the greatest common divisor is 2, so we can simplify the fraction to 40/47.

Now, we can calculate the sum:

38/59 + 40/47 = (38/59) + (40/47)

To add these fractions, we need to find a common denominator, which is 1771 (the least common multiple of 59 and 47).

So, we can rewrite each fraction with the common denominator:

38/59 = 228/1771
40/47 = 232/1771

Now, we can add the fractions:

228/1771 + 232/1771 = 460/1771

### Answer: 460/1771

Expected answer: 4146/2773

Correct? No

Problem: Calculate the sum of 10/14 and 70/20. Report your answer as a decimal.

Llama 3 8B:

To calculate the sum, we need to first simplify the fractions:

10/14 = 5/7

70/20 = 7/4

Now, we can add the simplified fractions:

5/7 + 7/4 = ?

To add these fractions, we need to find a common denominator, which is 28. So, we can rewrite the fractions as:

5/7 = 20/28
7/4 = 21/28

Now, we can add the fractions:

20/28 + 21/28 = 41/28

To report the answer as a decimal, we can divide the numerator by the denominator:

41 ÷ 28 = 1.464285714...

So, the sum of 10/14 and 70/20 is approximately 1.46.

Expected answer: 59/14

Correct? No

Problem: What is the result of subtracting 19/44 from 33/5?

Llama 3 8B:

To subtract 19/44 from 33/5, we need to find a common denominator for both fractions. The least common multiple (LCM) of 44 and 5 is 220. So, we can rewrite the fractions with a denominator of 220:

33/5 = 132/220
19/44 = 85/220

Now, we can subtract:

132/220 - 85/220 = 47/220

### Answer: 47/220

Expected answer: 1357/220

Correct? No

Problem: Find the result for (97 / 13) + (62 / 22). Answer as a decimal to the nearest hundredth.

Llama 3 8B:

Reasoning: To evaluate the expression, we need to perform the division operations first.

(97 / 13) = 7.462 (rounded to four decimal places)

(62 / 22) = 2.818 (rounded to three decimal places)

Now, we can add the results:

7.462 + 2.818 = 10.280

Rounded to the nearest hundredth, the result is:

### Answer: 10.28

Expected answer: 1470/143

Correct? No

Problem: What is the sum of 78 divided by 35 and 30 divided by 60?

Llama 3 8B:

Reasoning: First, we need to calculate the division problems:

78 ÷ 35 = 2.22
30 ÷ 60 = 0.5

Then, we add the results:

2.22 + 0.5 = 2.72

### Answer: 2.72

Expected answer: 191/70

Correct? No

Problem: What is the sum of 49/75 and 88/58?

Llama 3 8B:

To find the sum, we need to add the two fractions:

49/75 + 88/58 = ?

First, we need to find a common denominator for both fractions. The least common multiple (LCM) of 75 and 58 is 435. So, we can convert both fractions to have a denominator of 435:

49/75 = 287/435
88/58 = 374/435

Now we can add the fractions:

287/435 + 374/435 = 661/435

### Answer: 661/435

Expected answer: 4721/2175

Correct? No

Problem: What is the result of ((50 / 2) - (50 / 32))?

Llama 3 8B:

Reasoning: First, we need to evaluate the expressions inside the parentheses.
(50 / 2) = 25
(50 / 32) = 1.5625
Now, we can evaluate the expression:
25 - 1.5625 = 23.4375

### Answer: 23.4375

Expected answer: 375/16

Correct? Yes

Problem: What is the result of ((77 / 30) + (18 / 51))?

Llama 3 8B:

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

1. Divide 77 by 30: 77 / 30 = 2.5667
2. Divide 18 by 51: 18 / 51 = 0.3529
3. Add the results: 2.5667 + 0.3529 = 2.9196

### Answer: 2.92

Expected answer: 1489/510

Correct? No

Problem: What is the result of (36 / 37) + (8 / 4)?

Llama 3 8B:

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

1. Divide 36 by 37: 36 / 37 = 0.973
2. Divide 8 by 4: 8 / 4 = 2
3. Add the results: 0.973 + 2 = 2.973

### Answer: 2.973

Expected answer: 110/37

Correct? No

Problem: Calculate the result of (57 / 22) - (72 / 48) expressing your answer as a fraction in the simplest form.

Llama 3 8B:

Reasoning: First, we calculate the division:
(57 / 22) = 2.59 (approximately)
(72 / 48) = 1.5

Then, we subtract:
2.59 - 1.5 = 1.09

Now, we convert the decimal to a fraction:
1.09 = 109/100

Simplifying the fraction:
109/100 = 109/100

### Answer: 109/100

Expected answer: 12/11

Correct? No

Problem: What is the sum of 48 divided by 16 and 12 divided by 29?

Llama 3 8B:

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

1. Divide 48 by 16: 48 ÷ 16 = 3
2. Divide 12 by 29: 12 ÷ 29 = 0.41 (approximately)
3. Add the results: 3 + 0.41 = 3.41

### Answer: 3.41

Expected answer: 99/29

Correct? No

Problem: What is the sum of 37/20 and 16/75? Write your answer as a simplified fraction.

Llama 3 8B:

To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 20 and 75 is 300. So, we can rewrite each fraction with a denominator of 300:

37/20 = 111/300
16/75 = 64/300

Now we can add them:

111/300 + 64/300 = 175/300

### Answer: 175/300

Expected answer: 619/300

Correct? No

Problem: Calculate the summation: 83/40 + 6/8.

Llama 3 8B:

To calculate the summation, we need to simplify each fraction and then add them together.

First, let's simplify the fractions:

83/40 = 2.075 (approximately)
6/8 = 0.75 (exactly)

Now, let's add them together:

2.075 + 0.75 = 2.825

### Answer: 2.825

Expected answer: 113/40

Correct? Yes

Problem: Find the result of the addition of the fractions 37/69 and 67/61.

Llama 3 8B:

To add the fractions, we need to find a common denominator. The least common multiple (LCM) of 69 and 61 is 2073. So, we can convert both fractions to have a denominator of 2073:

37/69 = 259/2073
67/61 = 667/2073

Now we can add the fractions:

259/2073 + 667/2073 = 926/2073

### Answer: 926/2073

Expected answer: 6880/4209

Correct? No

Problem: What is the sum of 89/84 and 75/34?

Llama 3 8B:

To find the sum, we need to add the two fractions:

89/84 + 75/34 = ?

First, we need to find a common denominator for both fractions. The least common multiple (LCM) of 84 and 34 is 204. So, we can rewrite each fraction with a denominator of 204:

89/84 = 209/204 (multiply numerator and denominator by 2)
75/34 = 225/204 (multiply numerator and denominator by 6)

Now we can add the fractions:

209/204 + 225/204 = 434/204

### Answer: 434/204

Expected answer: 4663/1428

Correct? No

Problem: What is the result when you add 51/78 and 44/83?

Llama 3 8B:

To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 78 and 83 is 2418. So, we can rewrite the fractions with a denominator of 2418:

51/78 = 663/2418
44/83 = 532/2418

Now we can add them:

663/2418 + 532/2418 = 1195/2418

### Answer: 1195/2418

Expected answer: 2555/2158

Correct? No

Problem: Calculate the sum of the fractions 99/85 and 77/55.

Llama 3 8B:

To calculate the sum of the fractions, we need to find a common denominator. The least common multiple (LCM) of 85 and 55 is 935. So, we can convert both fractions to have a denominator of 935:

99/85 = (99 × 11) / (85 × 11) = 1089/935
77/55 = (77 × 17) / (55 × 17) = 1313/935

Now, we can add the fractions:

1089/935 + 1313/935 = 2402/935

### Answer: 2402/935

Expected answer: 218/85

Correct? No

Problem: What is the value of 97 / 56 - 31 / 52? Represent your answer as a simplified fraction.

Llama 3 8B:

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

1. Divide 97 by 56: 97 / 56 = 1 41/56
2. Divide 31 by 52: 31 / 52 = 3/4
3. Subtract 3/4 from 1 41/56:

First, convert the mixed number 1 41/56 to an improper fraction: (1 × 56) + 41 = 97/56

Now, subtract 3/4 from 97/56:

(97/56) - (3/4) = (97/56) - (24/56) = 73/56

So, the simplified fraction is:

### Answer: 73/56

Expected answer: 827/728

Correct? No

Problem: Calculate the result of the following fraction operation: (78 / 74) + (72 / 51).

Llama 3 8B:

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

1. Divide 78 by 74: 78 ÷ 74 = 1.054 (approximately)
2. Divide 72 by 51: 72 ÷ 51 = 1.412 (approximately)
3. Add the results: 1.054 + 1.412 = 2.466 (approximately)

### Answer: 2.466

Expected answer: 1551/629

Correct? No

Problem: What is the result of the operation (33 / 23) - (12 / 75)? Express your answer as a fraction.

Llama 3 8B:

Reasoning: First, we need to perform the division operations:
(33 / 23) = 1.43 (approximately)
(12 / 75) = 0.16 (approximately)

Then, we subtract the two results:
1.43 - 0.16 = 1.27 (approximately)

Since the result is a decimal, we can convert it to a fraction:
1.27 = 127/100

### Answer: 127/100

Expected answer: 733/575

Correct? No

Problem: What is the result of the operation 85/42 - 98/99? Simplify your answer to the nearest hundredth.

Llama 3 8B:

Reasoning: First, we need to perform the division operations:
85/42 = 2.024
98/99 = 0.989
Now, we can perform the subtraction:
2.024 - 0.989 = 1.035

Since we need to simplify the answer to the nearest hundredth, we round 1.035 to 1.04.

### Answer: 1.04

Expected answer: 1433/1386

Correct? No

Problem: What is the sum of 19/30 and 75/77? Express your answer as a simplified fraction.

Llama 3 8B:

To add these fractions, we need to have the same denominator. The least common multiple of 30 and 77 is 930. So, we can rewrite the fractions as:

19/30 = 247/930
75/77 = 225/930

Now, we can add them:

247/930 + 225/930 = 472/930

### Answer: 472/930

Expected answer: 3713/2310

Correct? No

Problem: What is the sum of 57/66 and 39/64? Please express your answer as a fraction.

Llama 3 8B:

To find the sum, we need to add the two fractions:

57/66 + 39/64 = ?

First, we need to find a common denominator for both fractions. The least common multiple (LCM) of 66 and 64 is 264. So, we can rewrite each fraction with a denominator of 264:

57/66 = 76/264 (multiply numerator and denominator by 4)
39/64 = 117/264 (multiply numerator and denominator by 4)

Now we can add the fractions:

76/264 + 117/264 = 193/264

### Answer: 193/264

Expected answer: 1037/704

Correct? No

Problem: What is the sum of 80/13 and 2/48?

Llama 3 8B:

To find the sum, we need to convert both fractions to have the same denominator, which is the least common multiple (LCM) of 13 and 48, which is 624.

80/13 = (80 x 48) / (13 x 48) = 3840 / 624
2/48 = 2 / 624

Now we can add the fractions:

3840/624 + 2/624 = 3842/624

### Answer: 3842/624

Expected answer: 1933/312

Correct? No

Problem: Calculate the result of the operation ((55 / 30) - (1 / 72)).

Llama 3 8B:

Reasoning: First, we need to calculate the division operations:
55 / 30 = 1.83
1 / 72 = 0.0139

Then, we can perform the subtraction:
1.83 - 0.0139 = 1.8161

### Answer: 1.8161

Expected answer: 131/72

Correct? No

Problem: Calculate the sum of the fractions 69/21 and 71/86.

Llama 3 8B:

To calculate the sum of the fractions, we need to find a common denominator. The least common multiple (LCM) of 21 and 86 is 258. So, we can convert both fractions to have a denominator of 258:

69/21 = (69 × 12) / (21 × 12) = 828/252
71/86 = (71 × 3) / (86 × 3) = 213/258

Now we can add the fractions:

828/252 + 213/258 = (828 + 213) / 252 = 1041/252

### Answer: 1041/252

Expected answer: 2475/602

Correct? No

Problem: What is the sum of 24/60 and 42/45? Answer as a simplified fraction.

Llama 3 8B:

To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 60 and 45 is 180. So, we can rewrite the fractions with a denominator of 180:

24/60 = 36/180
42/45 = 84/180

Now we can add the fractions:

36/180 + 84/180 = 120/180

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 20:

120 ÷ 20 = 6
180 ÷ 20 = 9

So, the simplified fraction is:

6/9

### Answer: 6/9

Expected answer: 4/3

Correct? No

Problem: What is the sum of 64/76 and 35/33?

Llama 3 8B:

Reasoning: To find the sum, we need to find the value of each fraction first.

For 64/76, we can simplify it by dividing both numerator and denominator by their greatest common divisor, which is 4.

64 ÷ 4 = 16
76 ÷ 4 = 19

So, 64/76 = 16/19

For 35/33, we can simplify it by dividing both numerator and denominator by their greatest common divisor, which is 1.

35 ÷ 1 = 35
33 ÷ 1 = 33

So, 35/33 = 35/33 (already in simplest form)

Now, we can add the two fractions:

16/19 + 35/33

To add these fractions, we need to find a common denominator, which is 57 (the least common multiple of 19 and 33).

16/19 = (16 × 3)/57 = 48/57
35/33 = (35 × 2)/57 = 70/57

Now, we can add:

48/57 + 70/57 = 118/57

### Answer: 118/57

Expected answer: 1193/627

Correct? No

Problem: What is the sum of 47/16 and 96/10? Please, express your answer as a mixed fraction if necessary.

Llama 3 8B:

To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 16 and 10 is 80. So, we can convert both fractions to have a denominator of 80:

47/16 = 235/80
96/10 = 384/80

Now we can add them:

235/80 + 384/80 = 619/80

This is an improper fraction, so we can convert it to a mixed fraction:

619/80 = 7 7/80

### Answer: 7 7/80

Expected answer: 1003/80

Correct? No

Problem: What is the result of the operation (58 / 2) + (31 / 32)?

Llama 3 8B:

Reasoning: First, we need to evaluate the division operations.
(58 / 2) = 29
(31 / 32) = 0.96875 (approximately)
Now, we add the results:
29 + 0.96875 = 29.96875 (approximately)
### Answer: 29.96875

Expected answer: 959/32

Correct? Yes

Problem: What is the sum of 26/90 and 50/26 when calculated as a fraction?

Llama 3 8B:

To calculate the sum, we need to find the common denominator, which is 26*90 = 2340. Then, we can convert both fractions to have a denominator of 2340:

26/90 = 143/2340
50/26 = 150/2340

Now, we can add the two fractions:

143/2340 + 150/2340 = 293/2340

### Answer: 293/2340

Expected answer: 1294/585

Correct? No

Problem: Calculate the sum of 80/98 and 92/82.

Llama 3 8B:

Reasoning: To calculate the sum, we need to first simplify each fraction by dividing both the numerator and the denominator by their greatest common divisor.

For the first fraction, 80/98, the greatest common divisor is 2, so we can simplify it to 40/49.

For the second fraction, 92/82, the greatest common divisor is 2, so we can simplify it to 46/41.

Now, we can calculate the sum:

40/49 + 46/41 = (40*41 + 46*49) / (49*41)
= (1640 + 2246) / 2009
= 3886 / 2009
= 1.94

### Answer: 1.94

Expected answer: 3894/2009

Correct? No

Problem: Calculate the sum of 89/44 and 69/5.

Llama 3 8B:

Reasoning: To calculate the sum, we need to first simplify the fractions by finding the common denominator, which is 220.

89/44 = 201/220
69/5 = 138/220

Now, we can add the fractions:

201/220 + 138/220 = 339/220

### Answer: 339/220

Expected answer: 3481/220

Correct? No

Problem: Calculate the following expression: 79/32 - 52/55.

Llama 3 8B:

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

1. Divide 79 by 32: 79 ÷ 32 = 2.46
2. Divide 52 by 55: 52 ÷ 55 = 0.94
3. Subtract 0.94 from 2.46: 2.46 - 0.94 = 1.52

### Answer: 1.52

Expected answer: 2681/1760

Correct? No

Problem: If Wooden Treasures, a furniture workshop, cuts a log into pieces. Each piece is 45/2 feet long. If they sell a piece of wood that is 18/90 feet shorter than the usual length, how long is the piece they sold?

Llama 3 8B:

Reasoning: The usual length of each piece is 45/2 = 22.5 feet.
The piece they sold is 18/90 = 0.2 feet shorter than the usual length.
So, the length of the piece they sold is 22.5 - 0.2 = 22.3 feet.
### Answer: 22.3

Expected answer: 223/10

Correct? Yes

Problem: What is the sum of 99/92 and 15/74 as a simplified fraction?

Llama 3 8B:

To add these fractions, we need to have the same denominator. The least common multiple (LCM) of 92 and 74 is 92*74 = 680. So, we can rewrite the fractions with the LCM as the denominator:

99/92 = 495/680
15/74 = 210/680

Now we can add the fractions:

495/680 + 210/680 = 705/680

### Answer: 705/680

Expected answer: 4353/3404

Correct? No

Problem: Calculate the result of 54/1 + 62/30. Express your answer in simplest terms.

Llama 3 8B:

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

1. Divide 54 by 1: 54/1 = 54
2. Divide 62 by 30: 62/30 = 2.0666... (approximately)
3. Add the results: 54 + 2.0666... = 56.0666... (approximately)

To express the answer in simplest terms, we can round the decimal part to 2 digits: 56.07.

### Answer: 56.07

Expected answer: 841/15

Correct? No

Problem: What value do you get by adding 85/29 and 47/7?

Llama 3 8B:

To add these two fractions, we need to find a common denominator. The least common multiple (LCM) of 29 and 7 is 203. So, we can rewrite the fractions with a denominator of 203:

85/29 = 295/203
47/7 = 669/203

Now we can add the fractions:

295/203 + 669/203 = 964/203

### Answer: 964/203

Expected answer: 1958/203

Correct? No