Problem: John has been learning to add and subtract fractions at school. He was given a problem during his homework that puzzled him. He had to take the sum of 48/56 and 95/23 and then subtract 34/26 from the result. What was the value that John found for this operation? Answer in simplest form.

Mixtral 8x22B:

 Reasoning: First, we need to find the sum of 48/56 and 95/23. To do this, we need to find a common denominator for the two fractions. The least common multiple of 56 and 23 is 1244.

So, we convert the fractions to have the same denominator:

48/56 = (48 \* 23)/(56 \* 23) = 1104/1244

95/23 = (95 \* 54)/(23 \* 54) = 5130/1244

Now, we can add the two fractions:

1104/1244 + 5130/1244 = (1104 + 5130)/1244 = 6234/1244

Next, we need to subtract 34/26 from the result. To do this, we need to find a common denominator for the two fractions. The least common multiple of 1244 and 26 is 1244.

So, we convert the fraction to have the same denominator:

34/26 = (34 \* 48)/(26 \* 48) = 1632/1244

Now, we can subtract the two fractions:

6234/1244 - 1632/1244 = (6234 - 1632)/1244 = 4602/1244

Finally, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2:

4602/1244 = (4602/2)/(1244/2) = 2301/622

### Answer: 2301/622

Expected answer: 7702/2093

Correct? No

Problem: First, add the fractions 88/9 and 28/65. Then subtract the fraction 18/37 from the result. What is the result expressed as a simple fraction?

Mixtral 8x22B:

 Reasoning: To add the fractions 88/9 and 28/65, we need to find a common denominator. The least common multiple of 9 and 65 is 585.

88/9 = (88 \* 65) / (9 \* 65) = 5720/585
28/65 = (28 \* 9) / (65 \* 9) = 252/585

Now we can add the two fractions:

5720/585 + 252/585 = (5720 + 252) / 585 = 5972/585

Next, we need to subtract the fraction 18/37 from the result. To do this, we need to find a common denominator for 585 and 37. The least common multiple of 585 and 37 is 21615.

5972/585 = (5972 \* 37) / (585 \* 37) = 220904/21615
18/37 = (18 \* 585) / (37 \* 585) = 10530/21615

Now we can subtract the two fractions:

220904/21615 - 10530/21615 = (220904 - 10530) / 21615 = 210374/21615

The result is 210374/21615, which can be simplified by dividing both the numerator and the denominator by their greatest common divisor. The greatest common divisor of 210374 and 21615 is 1. Therefore, the result expressed as a simple fraction is 210374/21615.

### Answer: 210374/21615

Expected answer: 210434/21645

Correct? No

Problem: What is the result of (63 / 41) + (44 / 50) when simplified to the lowest terms?

Mixtral 8x22B:

 Reasoning: (63 / 41) + (44 / 50) = (63 / 41) + (22 / 25) = (63 \* 25 / 41 \* 25) + (44 \* 41 / 50 \* 41) = (1575 / 1025) + (1804 / 2050) = (1575 / 1025) + (1804 / 2050) = (1575 \* 2 / 1025 \* 2) + (1804 \* 2 / 2050 \* 2) = (3150 / 2050) + (3608 / 4100) = (3150 / 2050) + (3608 / 4100) = (3150 \* 41 / 2050 \* 41) + (3608 \* 2050 / 4100 \* 2050) = (129150 / 84050) + (7391600 / 8405000) = (129150 / 84050) + (7391600 / 8405000) = (129150 \* 100 / 84050 \* 100) + (7391600 \* 10 / 8405000 \* 10) = (12915000 / 8405000) + (73916000 / 84050000) = (12915000 / 8405000) + (73916000 / 84050000) = (12915000 + 73916000) / 8405000 = (86831000 / 8405000) = 10.33
### Answer: 10.33

Expected answer: 2477/1025

Correct? No

Problem: John had 71/41 of a cake left and Emily added 41/77 of another cake to it. How much cake is there in total? Give your answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 41 and 77 is 307.

John's cake can be expressed as (71/41) \* (77/77) = 5467/307
Emily's cake can be expressed as (41/77) \* (41/41) = 1681/307

Adding the two fractions, we get 5467/307 + 1681/307 = 7148/307

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

Therefore, the total amount of cake is 7148/307.

### Answer: 7148/307

Expected answer: 7148/3157

Correct? No

Problem: Calculate the result of 10/65 + 56/35. Answer as a simple fraction.

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 65 and 35 is 2275.

10/65 = (10 * 35)/(65 * 35) = 350/2275
56/35 = (56 * 65)/(35 * 65) = 3640/2275

Now we can add the two fractions:

350/2275 + 3640/2275 = (350 + 3640)/2275 = 3990/2275

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

3990/2275 = (3990/5)/(2275/5) = 798/455

Now we can simplify the fraction further by dividing both the numerator and the denominator by their greatest common divisor, which is 11:

798/455 = (798/11)/(455/11) = 72/41

### Answer: 72/41

Expected answer: 114/65

Correct? No

Problem: What is the result of adding 75/81 and 97/47? Leave your answer as an unsimplified fraction.

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 81 and 47 is 3807.

75/81 = (75 \* 47)/(81 \* 47) = 3525/3807

97/47 = (97 \* 81)/(47 \* 81) = 7857/3807

Adding the two fractions, we get:

3525/3807 + 7857/3807 = (3525 + 7857)/3807 = 11382/3807

### Answer: 11382/3807

Expected answer: 3794/1269

Correct? Yes

Problem: What is 88/1 - 38/53? Give your answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: 88/1 - 38/53 = (88 \* 53)/(1 \* 53) - (38 \* 1)/(53 \* 1) = (88 \* 53 - 38)/53 = (4664 - 38)/53 = 4626/53

Simplifying the fraction 4626/53, we get 87.

### Answer: 87

Expected answer: 4626/53

Correct? No

Problem: Evaluate the expression ((80 / 94) + (78 / 59)). What is the answer in simplified form?

Mixtral 8x22B:

 Reasoning: First, we need to simplify the fractions 80/94 and 78/59.

80/94 = <<80/94=40/47>>40/47
78/59 = <<78/59=6/5>>6/5

Now, we can add the two fractions:

(40/47) + (6/5) = (40/47) \* (5/5) + (6/5) \* (47/47) = (200/235) + (282/235) = <<200/235+282/235=482/235>>482/235

The answer is 482/235 in simplified form.
### Answer: 482/235

Expected answer: 6026/2773

Correct? No

Problem: What is the sum of 89/56 and 48/50? Answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 56 and 50 is 140.

89/56 = (89\*2.5)/(56\*2.5) = 222.5/140

48/50 = (48\*2.8)/(50\*2.8) = 134.4/140

Now we can add the two fractions:

222.5/140 + 134.4/140 = (222.5 + 134.4)/140 = 356.9/140

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 140.

356.9/140 = 2.549285714285714

Since the question asks for a simplified fraction, we can round the decimal to the nearest whole number, which is 3.

### Answer: 3

Note: The answer is not a simplified fraction, as the question asks for. The correct answer is 2.549285714285714, which can be rounded to 3 for simplicity. However, the question asks for a simplified fraction, so the answer should be written as 3/1.

Expected answer: 3569/1400

Correct? No

Problem: What is the result when you subtract 38/87 from the sum of 96/11 and 12/5? Please leave your answer as a fraction.

Mixtral 8x22B:

 Reasoning: First, we need to find the sum of 96/11 and 12/5.
To do this, we need to find a common denominator for the two fractions. The least common multiple of 11 and 5 is 55.
So, we convert 96/11 to 480/55 and 12/5 to 132/55.
Now, we can add the two fractions: 480/55 + 132/55 = 612/55.
Next, we need to subtract 38/87 from 612/55.
To do this, we need to find a common denominator for the two fractions. The least common multiple of 55 and 87 is 4785.
So, we convert 612/55 to 5408/4785 and 38/87 to 190/4785.
Now, we can subtract the two fractions: 5408/4785 - 190/4785 = 5218/4785.
### Answer: 5218/4785

Expected answer: 51154/4785

Correct? No

Problem: If you have a number that's 82 divided by 9 and from this you subtract 82 divided by 63, what's the resulting value? Answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: 82 divided by 9 is <<82/9=8.88888888888889>>8.88888888888889 (repeating)
82 divided by 63 is <<82/63=1.3015873015873016>>1.3015873015873016 (approximately)
Subtracting the second value from the first gives us 8.88888888888889 - 1.3015873015873016 = <<8.88888888888889-1.3015873015873016=7.587301587301587>>7.587301587301587 (approximately)
To simplify this as a fraction, we can write it as 7587301587301587/10000000000000000
This can be simplified to 7587301587301587/10^15
### Answer: 7587301587301587/10^15

Expected answer: 164/21

Correct? No

Problem: Calculate the value of 23/3 minus the sum of 80/91 and 26/24. Answer as a simple fraction.

Mixtral 8x22B:

 Reasoning: 23/3 = <<23/3=7.666666666666667>>7 2/3
80/91 = <<80/91=0.8791208791208791>>80/91
26/24 = <<26/24=1.0833333333333333>>1 1/3
80/91 + 26/24 = <<80/91+26/24=1.9624489795918367>>1 19/27
23/3 - (80/91 + 26/24) = <<23/3-(80/91+26/24)=5.700884955752201>>5 17/27
### Answer: 5 17/27

Expected answer: 6229/1092

Correct? No

Problem: What is the sum of 37/18 and 24/60 when simplified to the lowest terms?

Mixtral 8x22B:

 Reasoning: 37/18 + 24/60 = 37/18 + 2/5 = (37/18) \* (5/5) + (2/5) \* (18/18) = (185 + 36)/90 = 221/90
### Answer: 221/90

Expected answer: 221/90

Correct? Yes

Problem: Determine the sum of 33/41 and 95/62. Write your answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 41 and 62 is 2542.

33/41 = (33 \* 62)/(41 \* 62) = 2046/2542

95/62 = (95 \* 41)/(62 \* 41) = 3895/2542

Now we can add the two fractions:

2046/2542 + 3895/2542 = (2046 + 3895)/2542 = 5941/2542

The fraction 5941/2542 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 1.

Therefore, the sum of 33/41 and 95/62 is 5941/2542.

### Answer: 5941/2542

Expected answer: 5941/2542

Correct? Yes

Problem: Solve ((30 / 11) + (72 / 38)) and then add the result to (81 / 34). Answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning:
First, simplify the expression inside the parentheses:
(30 / 11) + (72 / 38) = (30 / 11) + (2 / 1) = (30 + 22) / 11 = 52 / 11

Next, add the result to (81 / 34):
(52 / 11) + (81 / 34) = (52 * 34) / (11 * 34) + (81 * 11) / (34 * 11) = (1768 + 891) / (374) = 2659 / 374

Finally, simplify the fraction:
2659 / 374 = 7 / 1

### Answer: 7

Expected answer: 49773/7106

Correct? No

Problem: What is the result of adding (64 / 34) + (3 / 24) and then adding the result to (41 / 96)? Answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: First, we need to simplify the fractions (64 / 34) and (3 / 24).

(64 / 34) = <<64/34=18/11>>18/11
(3 / 24) = <<3/24=1/8>>1/8

Now, we can add the two fractions:

(18/11) + (1/8) = (144/88) + (11/88) = <<144/88+11/88=155/88>>155/88

Finally, we can add the result to (41 / 96):

(155/88) + (41/96) = (155 * 96) / (88 * 96) + (41 * 88) / (96 * 88) = (14880/8448) + (3608/8448) = <<14880/8448+3608/8448=18488/8448>>18488/8448

Simplifying the fraction, we get:

18488/8448 = <<18488/8448=1155/528>>1155/528

### Answer: 1155/528

Expected answer: 3973/1632

Correct? No

Problem: Daniel has to solve a math problem for his homework that includes fractions. Initially, he has been asked to add 83/73 and 53/77. The result of this step he saved as 'w'. Then, he needs to add 80/76 to the result 'w'. How would he calculate the final answer in simplified fraction form?

Mixtral 8x22B:

 Reasoning:
First, Daniel needs to add 83/73 and 53/77 to get 'w'. To add these fractions, he needs to find a common denominator. The least common multiple (LCM) of 73 and 77 is 5601.

So, 83/73 = (83 * 77) / (73 * 77) = 6411/5601
And, 53/77 = (53 * 73) / (77 * 73) = 3869/5601

Now, Daniel can add these two fractions:
w = 6411/5601 + 3869/5601 = (6411 + 3869) / 5601 = 10280/5601

Next, Daniel needs to add 80/76 to 'w'. The LCM of 76 and 5601 is 424076.

So, 80/76 = (80 * 5601) / (76 * 5601) = 448080/424076
And, w = 10280/5601 = (10280 * 76) / (5601 * 76) = 780480/424076

Now, Daniel can add these two fractions:
Final answer = 448080/424076 + 780480/424076 = (448080 + 780480) / 424076 = 1228560/424076

To simplify this fraction, Daniel can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 1228560 and 424076 is 4.

So, the simplified fraction is:
Final answer = 1228560/4 / 424076/4 = 307140/106019

### Answer: 307140/106019

Expected answer: 307360/106799

Correct? No

Problem: Add the following fractions and simplify your answer: 27/20 and 14/66.

Mixtral 8x22B:

 Reasoning: To add the fractions, we need a common denominator. The least common multiple of 20 and 66 is 660.

27/20 = (27\*33)/(20\*33) = 891/660
14/66 = (14\*10)/(66\*10) = 140/660

Now we can add the fractions:

891/660 + 140/660 = (891+140)/660 = 1031/660

The fraction 1031/660 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 1. Therefore, the simplified fraction is 1031/660.

### Answer: 1031/660

Expected answer: 1031/660

Correct? Yes

Problem: What is the result of the expression ((32 / 14) - (22 / 47))? Write your answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: First, we simplify the fractions 32/14 and 22/47.
32/14 = <<32/14=16/7>>16/7
22/47 = <<22/47=22/47>>22/47
Now, we subtract the second fraction from the first:
16/7 - 22/47 = (16*47 - 22*7) / (7*47) = (752 - 154) / 329 = <<(752 - 154) / 329=598/329>>598/329
### Answer: 598/329

Expected answer: 598/329

Correct? Yes

Problem: What is the sum of 74/61 and 41/53 expressed in fractions?

Mixtral 8x22B:

 Reasoning: To find the sum of 74/61 and 41/53, we need to find a common denominator. The least common multiple of 61 and 53 is 3233.

So, we convert 74/61 to 3794/3233 and 41/53 to 2623/3233.

Now, we can add the two fractions: 3794/3233 + 2623/3233 = 6417/3233.

### Answer: 6417/3233

Expected answer: 6423/3233

Correct? No

Problem: First, find out the result of 94 / 2 - 74 / 57. Then add the result to 56 / 97. What fraction do you get?

Mixtral 8x22B:

 Reasoning:
First, calculate 94 / 2 = <<94/2=47>>47 and 74 / 57 = <<74/57=1.3>>1.3 (rounded to one decimal place).
Then, subtract 1.3 from 47 = <<47-1.3=45.7>>45.7 (rounded to one decimal place).
Next, calculate 56 / 97 = <<56/97=0.57732>>0.57732 (rounded to five decimal places).
Finally, add 0.57732 to 45.7 = <<45.7+0.57732=46.27732>>46.27732 (rounded to five decimal places).
The fraction is 46.27732 / 1 = <<46.27732/1=46.27732>>46.27732.
### Answer: 46.27732

Expected answer: 255877/5529

Correct? No

Problem: What is the sum of 14/89 and the sum of 24/34 and 44/87? Give your answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: The sum of 14/89 and the sum of 24/34 and 44/87 is (14/89) + (24/34 + 44/87).
First, we need to find the sum of 24/34 and 44/87. To do this, we need to find a common denominator. The least common multiple of 34 and 87 is 2918.
So, 24/34 = (24 \* 87)/(34 \* 87) = 2088/2918 and 44/87 = (44 \* 34)/(87 \* 34) = 1496/2918.
Now, we can find the sum of 24/34 and 44/87: 2088/2918 + 1496/2918 = 3584/2918.
Now, we can find the sum of 14/89 and 3584/2918. To do this, we need to find a common denominator. The least common multiple of 89 and 2918 is 259602.
So, 14/89 = (14 \* 2918)/(89 \* 2918) = 40852/259602 and 3584/2918 = (3584 \* 89)/(2918 \* 89) = 319616/259602.
Now, we can find the sum of 14/89 and 3584/2918: 40852/259602 + 319616/259602 = 360468/259602.
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2.
So, 360468/259602 = 180234/129801.
### Answer: 180234/129801

Expected answer: 180194/131631

Correct? No

Problem: What would you get if you add 73/30 to 8/60?

Mixtral 8x22B:

 Reasoning: First, we need to find a common denominator for the fractions. The least common multiple of 30 and 60 is 60.

73/30 = (73*2)/(30*2) = 146/60
8/60 = 8/60

Now we can add the fractions:

146/60 + 8/60 = (146+8)/60 = 154/60

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

154/60 = (154/2)/(60/2) = 77/30

### Answer: 77/30

Expected answer: 77/30

Correct? Yes

Problem: Suppose you have the following three fractions: 82/49, 45/60, and 99/59. If you add the first fraction (82/49) with the second one (45/60), call this result 'd'. Then, add 'd' to the third fraction (99/59). What would be the resulting sum? Please provide your answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning:
First, we simplify the second fraction 45/60 = <<45/60=3/4>>3/4.
Then, we add the first fraction (82/49) with the simplified second fraction (3/4):
82/49 + 3/4 = (82*4 + 3*49)/(49*4) = (328 + 147)/196 = 475/196.
Now, we add the result 'd' (475/196) to the third fraction (99/59):
475/196 + 99/59 = (475*59 + 99*196)/(196*59) = (28075 + 19404)/11584 = 47479/11584.
Finally, we simplify the resulting fraction 47479/11584 = <<47479/11584=1186975/28960>>1186975/28960.
### Answer: 1186975/28960

Expected answer: 47429/11564

Correct? No

Problem: Solve the following two steps: first, subtract 76/30 from 91/16 and second, add the answer to 18/44. Round the final answer to the nearest hundredth.

Mixtral 8x22B:

 Reasoning:
First, subtract 76/30 from 91/16.
To subtract fractions, we need a common denominator. The least common multiple of 30 and 16 is 240.
So, we convert 76/30 to 240/30 * 76/240 = 152/240 and 91/16 to 240/16 * 91/240 = 546/240.
Now, we can subtract 152/240 from 546/240 to get 394/240.
Next, we add the answer to 18/44.
To add fractions, we need a common denominator. The least common multiple of 240 and 44 is 1320.
So, we convert 394/240 to 1320/240 * 394/1320 = 1970/1320 and 18/44 to 1320/44 * 18/1320 = 540/1320.
Now, we can add 1970/1320 to 540/1320 to get 2510/1320.
Finally, we round the answer to the nearest hundredth.
2510/1320 = 1.9015151515151515, which rounds to 1.90.
### Answer: 1.90

Expected answer: 9407/2640

Correct? No

Problem: Calculate the result of ((8 / 91) + (49 / 5)) and subtract (32 / 76) from the result. Provide your answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning:
First, we calculate the result of ((8 / 91) + (49 / 5)).
To add these fractions, we need a common denominator. The least common multiple of 91 and 5 is 455.
So, we convert the fractions to have the same denominator:
(8 / 91) = (8 * 5) / (91 * 5) = 40 / 455
(49 / 5) = (49 * 91) / (5 * 91) = 4459 / 455
Now, we can add the fractions:
(40 / 455) + (4459 / 455) = (40 + 4459) / 455 = 4499 / 455
Next, we subtract (32 / 76) from the result.
To subtract these fractions, we need a common denominator. The least common multiple of 455 and 76 is 34520.
So, we convert the fractions to have the same denominator:
(4499 / 455) = (4499 * 76) / (455 * 76) = 342304 / 34520
(32 / 76) = (32 * 455) / (76 * 455) = 14560 / 34520
Now, we can subtract the fractions:
(342304 / 34520) - (14560 / 34520) = (342304 - 14560) / 34520 = 327744 / 34520
Finally, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 8.
(327744 / 34520) / (8 / 8) = 40968 / 4315
### Answer: 40968 / 4315

Expected answer: 81841/8645

Correct? No

Problem: Calculate the value of ((75 / 45) + (5 / 49)) first. Then add this value with 3 / 58. Provide the answer as a simple fraction.

Mixtral 8x22B:

 Reasoning:
First, calculate the value of ((75 / 45) + (5 / 49)).
(75 / 45) = <<75/45=5/3>>5/3
(5 / 49) = <<5/49>>5/49
((75 / 45) + (5 / 49)) = (5/3) + (5/49) = (145/147)
Next, add this value with 3 / 58.
(145/147) + (3/58) = (145/147) + (3/58) = (145/147) \* (58/58) + (3/58) \* (147/147) = (8410/8526) + (441/8526) = (8851/8526)
### Answer: 8851/8526

Expected answer: 15521/8526

Correct? No

Problem: Calculate the answer to ((43 / 15) - (33 / 95)) and simplify it to its lowest terms.

Mixtral 8x22B:

 Reasoning: First, we calculate the two fractions separately:
43 / 15 = <<43/15=2.8666666666666665>>2.8666666666666665
33 / 95 = <<33/95=0.34736842105263156>>0.34736842105263156
Next, we subtract the second fraction from the first:
2.8666666666666665 - 0.34736842105263156 = <<2.8666666666666665-0.34736842105263156=2.519298245614035>>2.519298245614035
To simplify this to its lowest terms, we can convert it to a fraction:
2.519298245614035 = <<2.519298245614035*10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Expected answer: 718/285

Correct? No

Problem: What is the sum of ((78 / 45) + (89 / 36)) added to itself? Answer as a simple fraction.

Mixtral 8x22B:

 Reasoning: First, we need to find the sum of ((78 / 45) + (89 / 36)).

(78 / 45) + (89 / 36) = (78 * 36 + 89 * 45) / (45 * 36)

= (2808 + 3960) / 1620

= 6768 / 1620

Now, we need to add this sum to itself.

6768 / 1620 + 6768 / 1620 = 2 * (6768 / 1620)

= 13536 / 1620

Simplifying the fraction, we get:

13536 / 1620 = 11 * (1236 / 1620)

= 11 * (206 / 270)

= 11 * (103 / 135)

= 1133 / 135

### Answer: 1133/135

Expected answer: 757/90

Correct? No

Problem: Let's consider that 93 is divided by 34 to get a fraction value, from which is subtracted another fraction 77/74. What would be the result as a simplified fraction?

Mixtral 8x22B:

 Reasoning: 93 divided by 34 is equal to 2.7352941176470588.
77 divided by 74 is equal to 1.0405405405405406.
Subtracting the second fraction from the first gives us 1.6947535771065182.
To express this as a fraction, we can multiply the numerator and denominator by 10000000000000000 to get rid of the decimal point and simplify the fraction.
This gives us 16947535771065182/10000000000000000.
Simplifying this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2, gives us 8473767885532591/5000000000000000.
### Answer: 8473767885532591/5000000000000000

Expected answer: 1066/629

Correct? Yes

Problem: Find the sum of 86/35 and 68/85. Express your answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: To find the sum of 86/35 and 68/85, we need to find a common denominator. The least common multiple of 35 and 85 is 595.

86/35 = (86 \* 17)/(35 \* 17) = 1462/595

68/85 = (68 \* 7)/(85 \* 7) = 476/595

Now, we can add the two fractions:

1462/595 + 476/595 = (1462 + 476)/595 = 1938/595

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 17.

1938/595 = (1938/17)/(595/17) = 114/35

### Answer: 114/35

Expected answer: 114/35

Correct? Yes

Problem: What is the sum of 99/53 and 67/94 in simplest form?

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 53 and 94 is 53*94.

99/53 = (99*94)/(53*94) = 9306/5002

67/94 = (67*53)/(94*53) = 3551/5002

Now we can add the two fractions:

9306/5002 + 3551/5002 = (9306+3551)/5002 = 12857/5002

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

Therefore, the sum of 99/53 and 67/94 in simplest form is 12857/5002.

### Answer: 12857/5002

Expected answer: 12857/4982

Correct? No

Problem: What is the simplified form of the fraction that results from 74/27 minus 56/33?

Mixtral 8x22B:

 Reasoning: To subtract the fractions, we need a common denominator. The least common multiple of 27 and 33 is 297.

74/27 = (74*11)/(27*11) = 814/297
56/33 = (56*9)/(33*9) = 504/297

Now we can subtract the fractions:

814/297 - 504/297 = (814-504)/297 = 310/297

The fraction 310/297 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 1.

Therefore, the simplified form of the fraction is 310/297.

### Answer: 310/297

Expected answer: 310/297

Correct? Yes

Problem: Find the result when you subtract 91/65 from the sum of 96/40 and 11/99. Leave your answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: First, we need to find the sum of 96/40 and 11/99. To do this, we need to find a common denominator. The least common multiple of 40 and 99 is 3960.

So, we convert 96/40 to 96*99/40*99 = 9486/3960 and 11/99 to 11*40/99*40 = 440/3960.

Now, we can add the two fractions: 9486/3960 + 440/3960 = 9926/3960.

Next, we need to subtract 91/65 from this sum. To do this, we need to find a common denominator for 9926/3960 and 91/65. The least common multiple of 3960 and 65 is 257400.

So, we convert 9926/3960 to 9926*65/3960*65 = 645290/257400 and 91/65 to 91*3960/65*3960 = 360240/257400.

Now, we can subtract the two fractions: 645290/257400 - 360240/257400 = 285050/257400.

Finally, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 10.

So, the result is 28505/25740.

### Answer: 28505/25740

Expected answer: 10/9

Correct? No

Problem: Calculate the sum of the following expressions: 1) Divide 10 by 5 and add that result to 35 divided by 27. This will give you a value h. 2) Then, add 47 divided by 99 to h. This will give you a value p. What is the value of p?

Mixtral 8x22B:

 Reasoning:
1) To find h, we first divide 10 by 5, which equals 2. Then we divide 35 by 27, which equals approximately 1.296. Adding these two results together, we get h = 2 + 1.296 = <<2+1.296=3.296>>3.296.
2) To find p, we add 47 divided by 99 to h. Dividing 47 by 99 equals approximately 0.475. Adding this to h, we get p = 3.296 + 0.475 = <<3.296+0.475=3.771>>3.771.
### Answer: 3.771

Expected answer: 1120/297

Correct? No

Problem: Consider the fraction 90/81. Add it to 2/66 and simplify your answer to the simplest form. What is the result?

Mixtral 8x22B:

 Reasoning: First, simplify the fraction 2/66 by dividing both the numerator and the denominator by their greatest common divisor, which is 2. This gives us 1/33.
Next, add the two fractions 90/81 and 1/33. To do this, we need to find a common denominator. The least common multiple of 81 and 33 is 2673.
So, we convert 90/81 to 300/2673 and 1/33 to 81/2673.
Adding these two fractions gives us 381/2673.
Finally, simplify the fraction 381/2673 by dividing both the numerator and the denominator by their greatest common divisor, which is 3. This gives us 127/891.
### Answer: 127/891

Expected answer: 113/99

Correct? No

Problem: If Oliver has a piece of ribbon that is 56/41 yards long and he gets another piece of the same length, how long would both pieces of ribbon be together?

Mixtral 8x22B:

 Reasoning: Oliver has a piece of ribbon that is 56/41 yards long. If he gets another piece of the same length, then the total length of both pieces of ribbon would be 2*(56/41) = <<2*(56/41)=2.8 yards>>2.8 yards.
### Answer: 2.8 yards

Expected answer: 112/41

Correct? No

Problem: What is the result of 92/75 + 66/92? Please give your answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 75 and 92 is 75 \* 92.

92/75 + 66/92 = (92 \* 92)/(75 \* 92) + (66 \* 75)/(75 \* 92) = (8464 + 4950)/(75 \* 92) = 13414/75 \* 92

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 13414 and 75 \* 92 is 2.

13414/75 \* 92 = (13414/2)/(75 \* 92/2) = 6707/37 \* 46

### Answer: 6707/37 \* 46

Expected answer: 6707/3450

Correct? No

Problem: What is the sum of 32/65 and 73/22? Leave your answer as an unsimplified fraction.

Mixtral 8x22B:

 Reasoning: To find the sum of 32/65 and 73/22, we need to find a common denominator. The least common multiple of 65 and 22 is 1430.

So, we convert 32/65 to 640/1430 and 73/22 to 4691/1430.

Now, we can add the two fractions: 640/1430 + 4691/1430 = 5331/1430.

### Answer: 5331/1430

Expected answer: 5449/1430

Correct? No

Problem: What is the difference between 51/34 and 12/86? Express your answer in its simplest form.

Mixtral 8x22B:

 Reasoning: 51/34 - 12/86 = (51*86 - 12*34)/(34*86) = (4386 - 408)/(2924) = 4278/2924 = <<4278/2924=3/2>>3/2
### Answer: 3/2

Expected answer: 117/86

Correct? No

Problem: First take the whole number 51 and add it to the fraction 93/8. Take that sum and add it to the fraction 58/44. What is the final result as a simplified fraction?

Mixtral 8x22B:

 Reasoning: First, convert the whole number 51 to a fraction with a denominator of 1, so 51 becomes 51/1.
Next, add the fractions 51/1 and 93/8. To do this, find a common denominator, which is 8 in this case. So, 51/1 becomes 408/8.
Now, add the fractions 408/8 and 93/8 to get 501/8.
Next, add the fraction 501/8 to the fraction 58/44. To do this, find a common denominator, which is 88 in this case. So, 501/8 becomes 5512/88 and 58/44 becomes 116/88.
Now, add the fractions 5512/88 and 116/88 to get 5628/88.
Finally, simplify the fraction 5628/88 by dividing both the numerator and the denominator by their greatest common divisor, which is 8. So, 5628/88 becomes 678/11.
### Answer: 678/11

Expected answer: 5627/88

Correct? No

Problem: Calculate the result of the following fraction subtraction: 82/5 - 98/25. Write the answer in the simplest form.

Mixtral 8x22B:

 Reasoning: To subtract the fractions, we need to find a common denominator. The least common multiple of 5 and 25 is 25.

82/5 = (82*5)/(5*5) = 410/25

98/25 = 98/25

Now we can subtract the fractions:

410/25 - 98/25 = (410-98)/25 = 312/25

The fraction 312/25 is already in its simplest form.

### Answer: 312/25

Expected answer: 312/25

Correct? Yes

Problem: Calculate (64 / 50) + (70 / 22) and provide your answer as an unsimplified fraction.

Mixtral 8x22B:

 Reasoning: (64 / 50) + (70 / 22) = (64 * 22 + 70 * 50) / (50 * 22) = (1408 + 3500) / 1100 = 4908 / 1100
### Answer: 4908/1100

Expected answer: 1227/275

Correct? Yes

Problem: John calculated s by adding 24 divided by 6 to 40 divided by 53. He then added s to itself to get b. Can you find the value of b?

Mixtral 8x22B:

 Reasoning: John calculated s by adding 24/6 + 40/53.
24/6 = <<24/6=4>>4 and 40/53 is approximately 0.7547.
So, s = 4 + 0.7547 = <<4+0.7547=4.7547>>4.7547.
John then added s to itself to get b, so b = s + s = 4.7547 + 4.7547 = <<4.7547+4.7547=9.5094>>9.5094.
### Answer: 9.5094

Expected answer: 504/53

Correct? No

Problem: Calculate ((80 / 90) + (52 / 11)) and express your answer as a mixed number.

Mixtral 8x22B:

 Reasoning: First, we calculate the two fractions separately.

80/90 = <<80/90=8/9>>8/9

52/11 = <<52/11=4 8/11>>4 8/11

Now, we add the two fractions together.

8/9 + 4 8/11 = <<8/9+4 8/11=1 16/99>>1 16/99

### Answer: 1 16/99

Expected answer: 556/99

Correct? No

Problem: Calculate the sum of 12/18 and 91/74. Express your answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 18 and 74 is 666.

12/18 = (12 * 37)/(18 * 37) = 444/666
91/74 = (91 * 9)/(74 * 9) = 819/666

Now we can add the two fractions:

444/666 + 819/666 = (444 + 819)/666 = 1263/666

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 333:

1263/666 = (1263/333)/(666/333) = 3.8/2

So the sum of 12/18 and 91/74 is 3.8/2 or 1.9.

### Answer: 1.9

Expected answer: 421/222

Correct? No

Problem: Find the sum of the fractions 7/2 and 51/25. Write your answer as a simple fraction.

Mixtral 8x22B:

 Reasoning: To find the sum of the fractions 7/2 and 51/25, we need to find a common denominator. The least common multiple of 2 and 25 is 50.

So, we convert the fractions to have the same denominator:

7/2 = (7 \* 25) / (2 \* 25) = 175/50

51/25 = (51 \* 2) / (25 \* 2) = 102/50

Now, we can add the fractions:

175/50 + 102/50 = (175 + 102) / 50 = 277/50

### Answer: 277/50

Expected answer: 277/50

Correct? Yes

Problem: Calculate the following expression: ((68 / 69) + (93 / 7)) is a monomial. Add this to (3 / 46). Provide the resulting value as a simple fraction.

Mixtral 8x22B:

 Reasoning:

First, we calculate the value of the expression inside the parentheses:

(68 / 69) = <<68/69=0.9855072463768116>>0.9855072463768116

(93 / 7) = <<93/7=13.285714285714285>>13.285714285714285

Now, we add the two results:

0.9855072463768116 + 13.285714285714285 = <<0.9855072463768116+13.285714285714285=14.271221532091096>>14.271221532091096

Since the expression is a monomial, we can add it to (3 / 46):

(3 / 46) = <<3/46=0.06521739130434783>>0.06521739130434783

Now, we add the two results:

14.271221532091096 + 0.06521739130434783 = <<14.271221532091096+0.06521739130434783=14.336438923395444>>14.336438923395444

To provide the resulting value as a simple fraction, we can convert the decimal to a fraction:

14.336438923395444 = <<14.336438923395444*1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Expected answer: 13849/966

Correct? No

Problem: What is the result of adding 31/98 to 60/4? Answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: First, we need to find a common denominator for the two fractions. The least common multiple of 98 and 4 is 196.

31/98 = (31\*2)/(98\*2) = 62/196

60/4 = (60\*49)/(4\*49) = 2940/196

Now we can add the two fractions:

62/196 + 2940/196 = (62+2940)/196 = 3002/196

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

3002/196 = (3002/2)/(196/2) = 1501/98

### Answer: 1501/98

Expected answer: 1501/98

Correct? Yes

Problem: Calculate ((3 / 2) + (24 / 36)) and state your answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: First, simplify the second fraction (24/36) by dividing both the numerator and the denominator by their greatest common divisor, which is 12.

(24/36) = (24 ÷ 12) / (36 ÷ 12) = 2/3

Now, add the two fractions:

(3/2) + (2/3)

To add these fractions, find a common denominator, which is 6 in this case.

(3/2) = (3 * 3) / (2 * 3) = 9/6
(2/3) = (2 * 2) / (3 * 2) = 4/6

Now, add the fractions:

(9/6) + (4/6) = (9 + 4) / 6 = 13/6

### Answer: 13/6

Expected answer: 13/6

Correct? Yes

Problem: Firstly, calculate the sum of 92/54 and 90/13, then from the result take away 46/41. What's the result as a simplified fraction?

Mixtral 8x22B:

 Reasoning:
First, calculate the sum of 92/54 and 90/13.
To add these fractions, we need a common denominator. The least common multiple of 54 and 13 is 54 \* 13 = <<54\*13=702>>702.
So, we convert the fractions to have the same denominator:
92/54 = (92 \* 13) / (54 \* 13) = <<92\*13=1196>>1196 / 702
90/13 = (90 \* 54) / (13 \* 54) = <<90\*54=4860>>4860 / 702
Now, we can add the fractions:
1196/702 + 4860/702 = (1196 + 4860) / 702 = <<1196+4860=6056>>6056 / 702
Next, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 6056 and 702 is 2.
So, we divide both numbers by 2:
6056 / 2 = <<6056/2=3028>>3028
702 / 2 = <<702/2=351>>351
Now, we have the simplified fraction: 3028/351
Finally, we subtract 46/41 from this fraction.
To subtract these fractions, we need a common denominator. The least common multiple of 351 and 41 is 351 \* 41 = <<351\*41=14391>>14391.
So, we convert the fractions to have the same denominator:
3028/351 = (3028 \* 41) / (351 \* 41) = <<3028\*41=124148>>124148 / 14391
46/41 = (46 \* 351) / (41 \* 351) = <<46\*351=16186>>16186 / 14391
Now, we can subtract the fractions:
124148/14391 - 16186/14391 = (124148 - 16186) / 14391 = <<124148-16186=107962>>107962 / 14391
Now, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 107962 and 14391 is 1.
So, the fraction is already in its simplest form: 107962/14391.
### Answer: 107962/14391

Expected answer: 108002/14391

Correct? No

Problem: What is twice the value of 29/23? Simplify your answer to the simplest form.

Mixtral 8x22B:

 Reasoning: Twice the value of 29/23 is 2*(29/23) = <<2*(29/23)=58/23>>58/23.
The fraction 58/23 is already in its simplest form.
### Answer: 58/23

Expected answer: 58/23

Correct? Yes

Problem: What is the sum of 29/20 and 17/72? Answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 20 and 72 is 360.

29/20 = (29\*18)/(20\*18) = 522/360

17/72 = (17\*5)/(72\*5) = 85/360

Now we can add the two fractions:

522/360 + 85/360 = (522+85)/360 = 607/360

The fraction 607/360 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 1. Therefore, the sum of 29/20 and 17/72 is 607/360.

### Answer: 607/360

Expected answer: 607/360

Correct? Yes

Problem: Calculate the value of this expression: ((36 / 27) + (80 / 10)) - (73 / 79). Simplify your answer as much as possible.

Mixtral 8x22B:

 Reasoning: First, simplify each fraction by dividing the numerator by the denominator.
(36 / 27) = <<36/27=1.3333333333333333>>1.3333333333333333
(80 / 10) = <<80/10=8>>8
(73 / 79) = <<73/79=0.9240506329113924>>0.9240506329113924
Next, add the first two fractions and subtract the third fraction.
(1.3333333333333333 + 8) - 0.9240506329113924 = <<1.3333333333333333+8-0.9240506329113924=8.413282700422641>>8.413282700422641
### Answer: 8.413282700422641

Expected answer: 1993/237

Correct? No

Problem: What is the answer to (86 / 71) + (91 / 75)? Answer as a decimal to the nearest hundredth.

Mixtral 8x22B:

 Reasoning: (86 / 71) = <<86/71=1.2112676056338028>>1.21 (rounded to the nearest hundredth)
(91 / 75) = <<91/75=1.2133333333333333>>1.21 (rounded to the nearest hundredth)
(86 / 71) + (91 / 75) = 1.21 + 1.21 = <<1.21+1.21=2.42>>2.42 (rounded to the nearest hundredth)
### Answer: 2.42

Expected answer: 12911/5325

Correct? No

Problem: Calculate the following, and express the result as a simplified fraction: ((21 / 75) + (74 / 43)) + (10 / 62)

Mixtral 8x22B:

 Reasoning: First, we need to find a common denominator for the fractions. The least common multiple of 75, 43, and 62 is 20225.

(21 / 75) = (21 * 270) / (75 * 270) = 5670 / 20225
(74 / 43) = (74 * 470) / (43 * 470) = 34780 / 20225
(10 / 62) = (10 * 326) / (62 * 326) = 3260 / 20225

Now, we can add the fractions:

(5670 / 20225) + (34780 / 20225) + (3260 / 20225) = (5670 + 34780 + 3260) / 20225 = 43710 / 20225

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

(43710 / 20225) / (5 / 5) = 8742 / 4045

Therefore, the result is 8742 / 4045.

### Answer: 8742 / 4045

Expected answer: 72056/33325

Correct? No

Problem: Compute ((75 / 66) + (81 / 61)), and give your answer as a fraction reduced to its lowest term.

Mixtral 8x22B:

 Reasoning: ((75 / 66) + (81 / 61)) = (75 * 61 + 81 * 66) / (66 * 61) = (4575 + 5346) / (4026) = 9921 / 4026.
To reduce the fraction to its lowest term, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 9921 and 4026 is 3.
So, 9921 / 4026 = (9921 / 3) / (4026 / 3) = 3307 / 1342.
### Answer: 3307/1342

Expected answer: 3307/1342

Correct? Yes

Problem: Consider two identical fractions, t, each equal to sum of 53/18 and 21/99. Find the total sum, l, of these fractions and present your answer as a simple fraction.

Mixtral 8x22B:

 Reasoning: First, let's find the value of t by adding the two fractions:

t = 53/18 + 21/99

To add these fractions, we need a common denominator. The least common multiple of 18 and 99 is 198. So we convert the fractions to have the same denominator:

t = (53 * 11)/(18 * 11) + (21 * 2)/(99 * 2)
t = 583/198 + 42/198
t = (583 + 42)/198
t = 625/198

Now that we have the value of t, we can find the total sum, l, of the two identical fractions:

l = t + t
l = 625/198 + 625/198
l = (625 + 625)/198
l = 1250/198

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 1250 and 198 is 2. So we divide both by 2:

l = (1250/2) / (198/2)
l = 625/99

Therefore, the total sum of the two identical fractions is 625/99.

### Answer: 625/99

Expected answer: 625/99

Correct? Yes

Problem: First, calculate the result of 58/49 + 31/34. Then, add that result to the fraction 74/38. What is the final result as a simple fraction?

Mixtral 8x22B:

 Reasoning:
First, calculate the result of 58/49 + 31/34.
To add these fractions, we need a common denominator. The least common multiple of 49 and 34 is 1666.
So, we convert the fractions to have the same denominator:
58/49 = (58 \* 34)/(49 \* 34) = 1972/1666
31/34 = (31 \* 49)/(34 \* 49) = 1519/1666
Now, we can add the fractions:
1972/1666 + 1519/1666 = (1972 + 1519)/1666 = 3491/1666
Next, add that result to the fraction 74/38.
To add these fractions, we need a common denominator. The least common multiple of 1666 and 38 is 1666.
So, we convert the fraction 74/38 to have the same denominator:
74/38 = (74 \* 44)/(38 \* 44) = 3256/1666
Now, we can add the fractions:
3491/1666 + 3256/1666 = (3491 + 3256)/1666 = 6747/1666
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 1.
So, the final result is 6747/1666.
### Answer: 6747/1666

Expected answer: 127971/31654

Correct? No

Problem: Calculate the sum of 100 divided by 76 and 29 divided by 14. Please provide your answer as a simplified fraction or decimal.

Mixtral 8x22B:

 Reasoning: 100 divided by 76 is equal to 1.3157894736842105 (repeating).
29 divided by 14 is equal to 2.0714285714285714 (repeating).
The sum of these two numbers is 1.3157894736842105 + 2.0714285714285714 = 3.3872179451127819 (repeating).
### Answer: 3.3872179451127819 (repeating) or 3 17/49 as a simplified fraction.

Expected answer: 901/266

Correct? No

Problem: Given that Evan has read 51/18 of his novel, and Olivia has read (8/42) after reading the same amount of novel as Evan, how much of the novel has Olivia read in total? Answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: Evan has read 51/18 of his novel.
Olivia has read the same amount as Evan, which is also 51/18 of her novel.
After reading the same amount as Evan, Olivia has read an additional (8/42) of her novel.
To find out how much of the novel Olivia has read in total, we need to add the two fractions together:
51/18 + 8/42 = (51/18) \* (42/42) + (8/42) \* (18/18) = (51 \* 42)/(18 \* 42) + (8 \* 18)/(42 \* 18) = (2142 + 144)/(756) = 2286/756
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 6:
2286/756 = (2286/6)/(756/6) = 381/126
Therefore, Olivia has read 381/126 of her novel in total.
### Answer: 381/126

Expected answer: 127/42

Correct? Yes

Problem: What is the sum of 48 divided by 13 and 31 divided by 22? Answer as a fraction or a decimal.

Mixtral 8x22B:

 Reasoning: 48 divided by 13 is equal to 48/13.
31 divided by 22 is equal to 31/22.
The sum of 48/13 and 31/22 is equal to (48/13) + (31/22).
To add these fractions, we need a common denominator. The least common multiple of 13 and 22 is 286.
So, we convert 48/13 to 1104/286 and 31/22 to 403/286.
The sum of 1104/286 and 403/286 is equal to 1507/286.
### Answer: 1507/286 or 5.27

Expected answer: 1459/286

Correct? No

Problem: First, find the value of 24/86 + 76/77. Subtract your answer from 27/6. Write out your process and show your work.

Mixtral 8x22B:

 Reasoning:
First, we find the value of 24/86 + 76/77.
24/86 = <<24/86=0.27906976744186046511627906976744>>0.27906976744186046511627906976744
76/77 = <<76/77=0.98701298701298701298701298701298>>0.98701298701298701298701298701298
24/86 + 76/77 = 0.27906976744186046511627906976744 + 0.98701298701298701298701298701298 = <<0.27906976744186046511627906976744+0.98701298701298701298701298701298=1.26608275445484747800329105678042>>1.26608275445484747800329105678042
Next, we subtract this value from 27/6.
27/6 = <<27/6=4.5>>4.5
27/6 - (24/86 + 76/77) = 4.5 - 1.26608275445484747800329105678042 = <<4.5-1.26608275445484747800329105678042=3.23391724554515252199670894321958>>3.23391724554515252199670894321958
### Answer: 3.23391724554515252199670894321958

Expected answer: 21415/6622

Correct? Yes

Problem: Find the sum of 73/39 and 49/14, and express your answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: To find the sum of 73/39 and 49/14, we first need to find a common denominator. The least common multiple of 39 and 14 is 133.

73/39 = (73 \* 3)/(39 \* 3) = 219/117
49/14 = (49 \* 9)/(14 \* 9) = 441/126

Now we can add the two fractions:

219/117 + 441/126 = (219 \* 126)/(117 \* 126) + (441 \* 117)/(126 \* 117) = (27594 + 51597)/(14742) = 79191/14742

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

79191/14742 = (79191/3)/(14742/3) = 26397/4914

### Answer: 26397/4914

Expected answer: 419/78

Correct? Yes

Problem: What is the sum of 75/65 and 7/39? Simplify your answer.

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 65 and 39 is 2535.

75/65 = (75 \* 39)/(65 \* 39) = 2925/2535

7/39 = (7 \* 65)/(39 \* 65) = 455/2535

Now we can add the two fractions:

2925/2535 + 455/2535 = (2925 + 455)/2535 = 3380/2535

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

3380/2535 = (3380/5)/(2535/5) = 676/507

### Answer: 676/507

Expected answer: 4/3

Correct? Yes

Problem: First, calculate 79/1 - 30/92. Then, subtract 61/63 from the result. What value do you get?

Mixtral 8x22B:

 Reasoning: 79/1 - 30/92 = <<79/1=79>>79 - <<30/92=0.3260869565217391>>0.3260869565217391 = <<79-0.3260869565217391=78.67391304347826>>78.67391304347826
78.67391304347826 - 61/63 = <<78.67391304347826-61/63=78.67391304347826-0.9682539682539683>>77.70565907522429
### Answer: 77.70565907522429

Expected answer: 225191/2898

Correct? Yes

Problem: Calculate (58 / 26) + (58 / 26), and express your answer in simplest form.

Mixtral 8x22B:

 Reasoning: (58 / 26) + (58 / 26) = 2 * (58 / 26) = 2 * 2 = <<2*2=4>>4.
### Answer: 4

Expected answer: 58/13

Correct? No

Problem: If Alex has 69/63 gallons of orange juice and he bought additional 77/5 gallons, giving him a total of 'k' gallons. Later, he received another 47/71 gallons of orange juice from Sally. How many gallons did Alex have in total?

Mixtral 8x22B:

 Reasoning:
First, let's find the total amount of orange juice Alex had after buying additional orange juice.

Alex had 69/63 + 77/5 = <<69/63+77/5=1.1+15.4=16.5>>16.5 gallons of orange juice.

Then, Alex received another 47/71 gallons from Sally.

So, the total amount of orange juice Alex had is 16.5 + 47/71 = <<16.5+47/71=16.5+0.662=17.162>>17.162 gallons.

Since we are looking for the total amount of orange juice Alex had in gallons, we can round the answer to the nearest hundredth.

### Answer: 17.16 gallons

Expected answer: 127907/7455

Correct? No

Problem: What is the result of ((100 / 61) + ((39 / 6) + (67 / 49)))? Answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning:
First, we simplify the fractions inside the parentheses:
(100 / 61) = <<100/61=100/61>>100/61
(39 / 6) = <<39/6=13/2>>13/2
(67 / 49) = <<67/49=67/49>>67/49

Next, we add the fractions inside the parentheses:
(13/2) + (67/49) = (637/98) + (67/49) = (637+67)/98 = <<(637+67)/98=704/98>>704/98

Finally, we add the result to the first fraction:
(100/61) + (704/98) = (9800/5958) + (704/98) = (9800+704)/5958 = <<(9800+704)/5958=10504/5958>>10504/5958

We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
10504/5958 = (10504/2)/(5958/2) = <<(10504/2)/(5958/2)=5252/2979>>5252/2979

### Answer: 5252/2979

Expected answer: 56831/5978

Correct? No

Problem: What is the sum of 85/1 and 83/69? Simplify your answer as much as possible.

Mixtral 8x22B:

 Reasoning: 85/1 = <<85/1=85>>85
83/69 = <<83/69=1.2028985507246377>>1.2028985507246377 (rounded to 10 decimal places)
85 + 1.2028985507246377 = <<85+1.2028985507246377=86.20289855072463>>86.20289855072463 (rounded to 10 decimal places)
### Answer: 86.20289855072463 (rounded to 10 decimal places)

Expected answer: 5948/69

Correct? No

Problem: What is the sum of 92/13 and 43/86 as a simplified fraction?

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 13 and 86 is 104.

92/13 = (92 * 8) / (13 * 8) = 736/104
43/86 = (43 * 1) / (86 * 1) = 43/104

Now we can add the two fractions:

736/104 + 43/104 = (736 + 43) / 104 = 779/104

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

779/104 is already in its simplest form.

### Answer: 779/104

Expected answer: 197/26

Correct? No

Problem: What is the sum of 67/32 and 10/98, expressed as a simplified fraction?

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 32 and 98 is 224.

67/32 = (67\*7)/(32\*7) = 469/224

10/98 = (10\*2)/(98\*2) = 20/196 = (20\*1)/(196\*1) = 20/224

Now we can add the two fractions:

469/224 + 20/224 = (469+20)/224 = 489/224

The fraction 489/224 is already in its simplest form.

### Answer: 489/224

Expected answer: 3443/1568

Correct? No

Problem: What is the sum of 59/52 and 70/32? Please provide your answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 52 and 32 is 1664.

59/52 = (59\*32)/(52\*32) = 1888/1664

70/32 = (70\*52)/(32\*52) = 3640/1664

Now we can add the two fractions:

1888/1664 + 3640/1664 = (1888+3640)/1664 = 5528/1664

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 16:

5528/1664 = (5528/16)/(1664/16) = 346/104

We can further simplify the fraction by dividing both the numerator and the denominator by 2:

346/104 = (346/2)/(104/2) = 173/52

### Answer: 173/52

Expected answer: 691/208

Correct? No

Problem: Let's first perform this operation: 48 divided by 5 subtracted from 11 divided by 65. Then, add the result to 28 divided by 2. What is the answer?

Mixtral 8x22B:

 Reasoning: 48 divided by 5 = <<48/5=9.6>>9.6
11 divided by 65 = <<11/65=0.16923076923076923>>0.16923076923076923
9.6 - 0.16923076923076923 = <<9.6-0.16923076923076923=9.430769230769231>>9.430769230769231
28 divided by 2 = <<28/2=14>>14
9.430769230769231 + 14 = <<9.430769230769231+14=23.430769230769231>>23.430769230769231
### Answer: 23.430769230769231

Expected answer: 1523/65

Correct? Yes

Problem: What is the result when you add 20/52 to 75/82? Simplify your answer to the smallest possible fraction.

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 52 and 82 is 2124.

20/52 = (20 \* 41)/(52 \* 41) = 820/2124
75/82 = (75 \* 26)/(82 \* 26) = 1950/2124

Now we can add the two fractions:

820/2124 + 1950/2124 = (820 + 1950)/2124 = 2770/2124

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 26.

2770/2124 = (2770/26)/(2124/26) = 106.53846153846154/81.69230769230769

Since we are looking for the smallest possible fraction, we can round the decimal to the nearest whole number.

106.53846153846154 ≈ 107
81.69230769230769 ≈ 82

So the simplified fraction is 107/82.

### Answer: 107/82

Expected answer: 1385/1066

Correct? No

Problem: What is the result of subtracting 92/84 from 31/5? Answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: First, we need to find a common denominator for the two fractions. The least common multiple of 84 and 5 is 420.

So, we convert the fractions to have the same denominator:

92/84 = (92 \* 5) / (84 \* 5) = 460/420

31/5 = (31 \* 84) / (5 \* 84) = 2604/420

Now, we can subtract the two fractions:

2604/420 - 460/420 = (2604 - 460) / 420 = 2144/420

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 8:

2144/420 = (2144/8) / (420/8) = 268/52.5

Since 52.5 is not an integer, we can multiply both the numerator and the denominator by 2 to get an integer denominator:

268/52.5 = (268 \* 2) / (52.5 \* 2) = 536/105

Therefore, the result of subtracting 92/84 from 31/5 is 536/105.

### Answer: 536/105

Expected answer: 536/105

Correct? Yes

Problem: Calculate the following: Double the sum of 81/90 and 94/49.

Mixtral 8x22B:

 Reasoning: First, we need to find the sum of 81/90 and 94/49.
81/90 + 94/49 = <<81/90+94/49=1.75>>1.75
Then, we need to double this sum.
2 * 1.75 = <<2*1.75=3.5>>3.5
### Answer: 3.5

Expected answer: 1381/245

Correct? No

Problem: Find the difference between 69/21 and 10/92. Write your answer as a simple fraction.

Mixtral 8x22B:

 Reasoning: First, we need to find a common denominator for the two fractions. The least common multiple of 21 and 92 is 644.

69/21 = (69 \* 31)/(21 \* 31) = 2139/644

10/92 = (10 \* 7)/(92 \* 7) = 70/644

Now, we can find the difference between the two fractions:

2139/644 - 70/644 = (2139 - 70)/644 = 2069/644

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

Therefore, the difference between 69/21 and 10/92 is 2069/644.

### Answer: 2069/644

Expected answer: 1023/322

Correct? No

Problem: First, find the result of (26 / 87) + (92 / 88). Then add the result to (26 / 57). What's the answer?

Mixtral 8x22B:

 Reasoning:
(26 / 87) + (92 / 88) = <<26/87+92/88=1.0563>>1.0563
(26 / 57) = <<26/57=0.4561>>0.4561
1.0563 + 0.4561 = <<1.0563+0.4561=1.5124>>1.5124
### Answer: 1.5124

Expected answer: 21825/12122

Correct? No

Problem: What is the result if you add 78/66, 28/6, and 90/34 together? Please provide your answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: First, simplify each fraction:
78/66 = <<78/66=1.1818181818181819>>1.1818181818181819 (rounded to 12 decimal places)
28/6 = <<28/6=4.666666666666667>>4.666666666666667 (rounded to 12 decimal places)
90/34 = <<90/34=2.6470588235294117>>2.6470588235294117 (rounded to 12 decimal places)
Next, add the fractions together:
1.1818181818181819 + 4.666666666666667 + 2.6470588235294117 = <<1.1818181818181819+4.666666666666667+2.6470588235294117=8.495543671914259>>8.495543671914259 (rounded to 12 decimal places)
Finally, convert the decimal to a fraction:
8.495543671914259 = <<8.495543671914259*1000000000000=8495543671914259>>8495543671914259/1000000000000 (rounded to 12 decimal places)
### Answer: 8495543671914259/1000000000000

Expected answer: 4766/561

Correct? No

Problem: Calculate: (12 / 7) - (9 / 23). Please simplify your answer to the lowest terms.

Mixtral 8x22B:

 Reasoning: To calculate (12 / 7) - (9 / 23), we first find a common denominator for the two fractions. The least common multiple of 7 and 23 is 161.

(12 / 7) = (12 * 23) / (7 * 23) = 276 / 161
(9 / 23) = (9 * 7) / (23 * 7) = 63 / 161

Now we can subtract the two fractions:

(276 / 161) - (63 / 161) = (276 - 63) / 161 = 213 / 161

The fraction 213 / 161 is already in its simplest form, as 213 and 161 have no common factors other than 1.

### Answer: 213 / 161

Expected answer: 213/161

Correct? Yes

Problem: Calculate the sum of 95/18 and 51/61, and represent your answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 18 and 61 is 1098.

95/18 = (95 \* 61) / (18 \* 61) = 5795 / 1098

51/61 = (51 \* 18) / (61 \* 18) = 918 / 1098

Now we can add the two fractions:

5795/1098 + 918/1098 = (5795 + 918) / 1098 = 6713 / 1098

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 13.

6713 / 1098 = (6713 / 13) / (1098 / 13) = 516 / 84

We can simplify this fraction further by dividing both the numerator and the denominator by 4.

516 / 84 = (516 / 4) / (84 / 4) = 129 / 21

### Answer: 129/21

Expected answer: 6713/1098

Correct? No

Problem: Calculate the following subtraction of fractions: (93 / 46) - (51 / 84). Answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: To subtract the fractions, we need to find a common denominator. The least common multiple of 46 and 84 is 23 * 4 = 92.

(93 / 46) = (93 * 2) / (46 * 2) = 186 / 92
(51 / 84) = (51 * 1) / (84 * 1) = 51 / 92

Now we can subtract the fractions:

186 / 92 - 51 / 92 = (186 - 51) / 92 = 135 / 92

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

135 / 3 = 45
92 / 3 = 30.666...

Since the denominator cannot be a decimal, we can multiply both the numerator and the denominator by 3 to get rid of the decimal:

45 * 3 = 135
30.666... * 3 = 92

So the simplified fraction is 135 / 92.

### Answer: 135 / 92

Expected answer: 911/644

Correct? No

Problem: Calculate the sum of the fractions 12/70 and 84/9. Please provide your answer in simplified form.

Mixtral 8x22B:

 Reasoning: To add the fractions, we need a common denominator. The least common multiple of 70 and 9 is 630.

12/70 = (12 * 9) / (70 * 9) = 108/630
84/9 = (84 * 70) / (9 * 70) = 5880/630

Now we can add the fractions:

108/630 + 5880/630 = (108 + 5880) / 630 = 5988/630

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 6:

5988/630 = (5988/6) / (630/6) = 998/105

### Answer: 998/105

Expected answer: 998/105

Correct? Yes

Problem: If you subtract 40/92 from 32/3 and double the result, what would you get?

Mixtral 8x22B:

 Reasoning: First, subtract 40/92 from 32/3.
32/3 - 40/92 = (32*92 - 40*3)/(3*92) = (3008 - 120)/276 = 2888/276 = <<2888/276=10.463777777777778>>10.463777777777778
Then, double the result: 10.463777777777778 * 2 = <<10.463777777777778*2=20.927555555555556>>20.927555555555556
### Answer: 20.927555555555556

Expected answer: 1412/69

Correct? No

Problem: What is the sum of 79/24 and 79/24? Keep your answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: The sum of 79/24 and 79/24 is (79/24) + (79/24) = 2*(79/24) = <<2*(79/24)=79/12>>79/12.
### Answer: 79/12

Expected answer: 79/12

Correct? Yes

Problem: What is the sum of 91/76 and 12/22? Please simplify your fraction.

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 76 and 22 is 184.

91/76 = (91\*2)/(76\*2) = 182/152
12/22 = (12\*8)/(22\*8) = 96/176

Now we can add the two fractions:

182/152 + 96/176 = (182\*176)/(152\*176) + (96\*152)/(176\*152) = (32032+14688)/(26880) = 46720/26880

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 160:

46720/26880 = (46720/160)/(26880/160) = 292/168

We can simplify this fraction further by dividing both the numerator and the denominator by their greatest common divisor, which is 4:

292/168 = (292/4)/(168/4) = 73/42

### Answer: 73/42

Expected answer: 1457/836

Correct? No

Problem: First, add 88/93 to 6/47. Then, add the result to 92/4. What do you get?

Mixtral 8x22B:

 Reasoning: First, convert the fractions to have a common denominator. The least common multiple of 93, 47, and 4 is 186.

88/93 = (88 * 2) / (93 * 2) = 176/186
6/47 = (6 * 4) / (47 * 4) = 24/186

Now, add the two fractions:

176/186 + 24/186 = (176 + 24) / 186 = 200/186

Next, convert 92/4 to have the same denominator:

92/4 = (92 * 46.5) / (4 * 46.5) = 4260/186

Now, add the two results:

200/186 + 4260/186 = (200 + 4260) / 186 = 4460/186

### Answer: 4460/186

Expected answer: 105227/4371

Correct? No

Problem: Calculate the sum of 95/83 and the result of 52/21 + 75/67. Write your answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: First, we need to calculate the sum of 52/21 and 75/67.
52/21 + 75/67 = (52\*67 + 75\*21) / (21\*67) = (3484 + 1575) / (1407) = 5059 / 1407
Now, we can add this result to 95/83.
95/83 + 5059/1407 = (95\*1407 + 5059\*83) / (83\*1407) = (133665 + 420717) / (116121) = 554382 / 116121
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 554382 and 116121 is 3.
So, the simplified fraction is 554382/3 / 116121/3 = 184794 / 38707
### Answer: 184794/38707

Expected answer: 553562/116781

Correct? No

Problem: What is the value of the expression ((73 / 27) - (23 / 48))? Answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: The expression can be simplified by finding the common denominator of 27 and 48, which is 216.

(73 / 27) = (73 * 8) / (27 * 8) = 584 / 216

(23 / 48) = (23 * 4.5) / (48 * 4.5) = 103.5 / 216

Now, subtract the two fractions:

584 / 216 - 103.5 / 216 = (584 - 103.5) / 216 = 480.5 / 216

The fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 108.

480.5 / 216 = (480.5 / 108) / (216 / 108) = 4.45 / 2

Therefore, the value of the expression is 4.45 / 2.

### Answer: 4.45 / 2

Expected answer: 961/432

Correct? No

Problem: Solve the expression (78 / 2) - (70 / 23). Answer as a simplified decimal or fraction.

Mixtral 8x22B:

 Reasoning: (78 / 2) = <<78/2=39>>39
(70 / 23) = <<70/23=3.0434782608695652>>3.0434782608695652 (rounded to 10 decimal places)
(78 / 2) - (70 / 23) = 39 - 3.0434782608695652 = <<39-3.0434782608695652=35.956521739130435>>35.956521739130435
### Answer: 35.956521739130435 or 35 19/23 as a simplified fraction.

Expected answer: 827/23

Correct? No

Problem: What is the result when you add 34/1 to 53/4? Express your answer as a mixed number.

Mixtral 8x22B:

 Reasoning: First, convert 34/1 to a mixed number, which is 34.
Next, convert 53/4 to a mixed number, which is 13 1/4.
Now, add the two mixed numbers: 34 + 13 1/4 = 47 1/4.
### Answer: 47 1/4

Expected answer: 189/4

Correct? Yes

Problem: What is the sum of 3/36 and 97/96? Answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 36 and 96 is 144.

3/36 = 12/144
97/96 = 145.5/144

Now we can add the two fractions:

12/144 + 145.5/144 = 157.5/144

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

157.5/144 = 52.5/48

Now we can simplify the fraction further by dividing both the numerator and the denominator by 3:

52.5/48 = 17.5/16

### Answer: 17.5/16

Expected answer: 35/32

Correct? Yes

Problem: Calculate ((92 / 95) + (4 / 74)). Answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning:

First, simplify the fractions:

92/95 is already in its simplest form.

4/74 can be simplified by dividing both the numerator and the denominator by 2:

4/74 = (4/2) / (74/2) = 2/37

Now, add the fractions:

(92/95) + (2/37)

To add these fractions, we need a common denominator. The least common multiple (LCM) of 95 and 37 is 3515.

So, we convert the fractions to have the same denominator:

(92/95) = (92 * 37) / (95 * 37) = 3404/3515

(2/37) = (2 * 95) / (37 * 95) = 190/3515

Now, add the fractions:

3404/3515 + 190/3515 = (3404 + 190) / 3515 = 3594/3515

This fraction is already in its simplest form.

### Answer: 3594/3515

Expected answer: 3594/3515

Correct? Yes

Problem: If the value of a variable 'v' is 69/47, what is the value of 'd' if 'd' equals 88/72 + 'v'? Please write your answer as a fraction.

Mixtral 8x22B:

 Reasoning: The value of 'v' is 69/47.
The value of 'd' is 88/72 + 69/47.
To add these fractions, we need a common denominator. The least common multiple of 72 and 47 is 3456.
So, we convert the fractions to have the same denominator:
88/72 = (88 \* 48) / (72 \* 48) = 4224/3456
69/47 = (69 \* 73) / (47 \* 73) = 5037/3456
Now we can add the fractions:
d = 4224/3456 + 5037/3456 = (4224 + 5037) / 3456 = 9261/3456
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 243:
d = (9261/243) / (3456/243) = 38.111... / 14.222...
So, the value of 'd' is approximately 2.68.
### Answer: 38.111... / 14.222... or approximately 2.68

Expected answer: 1138/423

Correct? No

Problem: Let's say there is a wholesaler who has 41/26 barrels of olive oil in their warehouse. They sell a portion of the oil which is equivalent to 41/72 barrels. How much olive oil do they have now? Express your answer as a simple fraction.

Mixtral 8x22B:

 Reasoning: The wholesaler had 41/26 barrels of olive oil initially. They sold 41/72 barrels of oil.
To find out how much oil they have now, we need to subtract the amount sold from the initial amount.
41/26 - 41/72 = (41*3)/(26*3) - 41/72 = 123/78 - 41/72 = (123*2)/(78*2) - 41/72 = 246/156 - 41/72 = (246-41)/156 = 205/156
Simplifying the fraction, we get 205/156 = 5/4
### Answer: 5/4

Expected answer: 943/936

Correct? No

Problem: What is the sum of 85/75 and 88/56? Write your answer in decimal form.

Mixtral 8x22B:

 Reasoning: To find the sum of 85/75 and 88/56, we first need to find a common denominator. The least common multiple of 75 and 56 is 2100.

85/75 = (85 \* 28)/(75 \* 28) = 2380/2100

88/56 = (88 \* 37.5)/(56 \* 37.5) = 3300/2100

Now we can add the two fractions:

2380/2100 + 3300/2100 = (2380 + 3300)/2100 = 5680/2100

To convert this fraction to decimal form, we divide 5680 by 2100:

5680/2100 = <<5680/2100=2.7047619047619047>>2.7047619047619047

### Answer: 2.7047619047619047

Expected answer: 284/105

Correct? No

Problem: What is the result of adding 12 over 33 to 49 over 2? Write your answer as a mixed fraction.

Mixtral 8x22B:

 Reasoning: First, we need to find a common denominator for the two fractions. The least common multiple of 33 and 2 is 66.

12/33 = (12*2)/(33*2) = 24/66
49/2 = (49*33)/(2*33) = 1617/66

Now we can add the two fractions:

24/66 + 1617/66 = (24+1617)/66 = 1641/66

To convert the improper fraction to a mixed fraction, we divide the numerator by the denominator:

1641 ÷ 66 = 24 with a remainder of 51

So the result is 24 51/66.

### Answer: 24 51/66

Expected answer: 547/22

Correct? No

Problem: What is the result of adding two fractions, where each fraction is 78/65?

Mixtral 8x22B:

 Reasoning: To add two fractions, you can add the numerators and keep the denominator the same.
78/65 + 78/65 = (78+78)/65 = <<(78+78)/65=156/65>>156/65
### Answer: 156/65

Expected answer: 12/5

Correct? Yes

Problem: Calculate the sum of 16/7 and 11/90. Answer as a simplified fraction.

Mixtral 8x22B:

 Reasoning: To add the two fractions, we need to find a common denominator. The least common multiple of 7 and 90 is 630.

16/7 = (16 \* 90) / (7 \* 90) = 1440/630
11/90 = (11 \* 7) / (90 \* 7) = 77/630

Now we can add the two fractions:

1440/630 + 77/630 = (1440 + 77) / 630 = 1517/630

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

1517/630 is already in its simplest form.

### Answer: 1517/630

Expected answer: 1517/630

Correct? Yes