Common Core Standard 7.NS.A.1-fraction
This standard covers the following:
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
Problem: Math problem: Determine the value of the sum when adding (74 / 63) and (91 / 78).
CodeLlama 34B:
To find the value of the sum, we need to first simplify the fractions. 74/63 = 11/9 91/78 = 13/12 Now, we can add the simplified fractions: 11/9 + 13/12 = 24/21 Therefore, the value of the sum is 24/21.
Expected answer: 295/126
Correct? No
Problem: What is the result of adding 94/5 to 1/25?
CodeLlama 34B:
To add 94/5 to 1/25, we need to first find the least common denominator (LCD) of the two fractions. The LCD is the smallest number that both numbers can divide into. In this case, the LCD of 94/5 and 1/25 is 225. So, we can rewrite the fractions as: 94/5 = 188/25 1/25 = 25/25 Now we can add the fractions: 188/25 + 25/25 = 213/25 Therefore, the result of adding 94/5 to 1/25 is 213/25.
Expected answer: 471/25
Correct? No
Problem: What is the result of subtracting 48/20 from 49/8? Answer as a simplified fraction.
CodeLlama 34B:
To find the result of subtracting 48/20 from 49/8, we need to find the common denominator of both fractions. The least common multiple of 20 and 8 is 80. So, we can rewrite the fractions as: 48/20 = 24/10 49/8 = 61/8 Now, we can subtract: 24/10 - 61/8 = -37/10 Therefore, the result of subtracting 48/20 from 49/8 is -37/10.
Expected answer: 149/40
Correct? No
Problem: Calculate the value of the expression ((45 / 5) - (6 / 47)).
CodeLlama 34B:
To calculate the value of the expression ((45 / 5) - (6 / 47)), we need to follow the order of operations (PEMDAS): 1. Parentheses: Inside the parentheses, we have (45 / 5) and (6 / 47). 2. Exponents (none in this case). 3. Multiplication and Division (from left to right): * (45 / 5) = 9 * (6 / 47) = 0.128 4. Addition and Subtraction (from left to right): * 9 - 0.128 = 8.872 Therefore, the value of the expression ((45 / 5) - (6 / 47)) is 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.
CodeLlama 34B:
Reasoning: 22/49 + 72/35 = <<22/49+72/35=196/234>>196/234 Simplifying the fraction: 196/234 = <<196/234=78/117>>78/117 Therefore, the sum of 22/49 and 72/35 is 78/117.
Expected answer: 614/245
Correct? No
Problem: What is the result of (39 / 9) - (44 / 69)?
CodeLlama 34B:
To calculate the result of (39 / 9) - (44 / 69), we need to follow the order of operations (PEMDAS): 1. Calculate the division: (39 / 9) = 4 (44 / 69) = 0.62 2. Subtract the two results: 4 - 0.62 = 3.38 Therefore, the result of (39 / 9) - (44 / 69) is 3.38.
Expected answer: 85/23
Correct? No
Problem: Calculate the sum of 49/79 and 18/21.
CodeLlama 34B:
To calculate the sum of 49/79 and 18/21, we need to first find the least common denominator (LCD) of the two fractions. The LCD is the smallest number that both numbers can divide into. In this case, the LCD of 49/79 and 18/21 is 147. So, we can rewrite the fractions as: 49/79 = 49/147 18/21 = 18/147 Now, we can add the fractions: 49/147 + 18/147 = 67/147 Therefore, the sum of 49/79 and 18/21 is 67/147.
Expected answer: 817/553
Correct? No
Problem: What is the sum of 95/46 and 65/31?
CodeLlama 34B:
Reasoning: 95/46 = 2 65/31 = 2 The sum of 95/46 and 65/31 is 2 + 2 = <<2+2=4>>4. ### Answer: 4
Expected answer: 5935/1426
Correct? No
Problem: What is the sum of 25 over 63 and 74 over 6?
CodeLlama 34B:
Reasoning: * 25 over 63 = <<25/63=1/2>>1/2 * 74 over 6 = <<74/6=12>>12 Sum = 1/2 + 12 = <<1/2+12=13>>13 ### Answer: 13
Expected answer: 802/63
Correct? No
Problem: What is the sum of 79/91 and 100/47?
CodeLlama 34B:
To find the sum of 79/91 and 100/47, we need to add the numerators (79 and 100) and the denominators (91 and 47). 79 + 100 = 179 91 + 47 = 138 So, the sum of 79/91 and 100/47 is 179/138. ### Answer: 179/138
Expected answer: 12813/4277
Correct? No
Problem: What is the result of ((55 / 47) + (72 / 21))?
CodeLlama 34B:
To calculate the result of ((55 / 47) + (72 / 21)), we need to follow the order of operations (PEMDAS): 1. Divide 55 by 47: 55 รท 47 = 1.17 2. Divide 72 by 21: 72 รท 21 = 3.43 3. Add the results: 1.17 + 3.43 = 4.59 Therefore, the result of ((55 / 47) + (72 / 21)) is 4.59. ### Answer: 4.59
Expected answer: 1513/329
Correct? No
Problem: What is the sum of 86/62 and 99/41?
CodeLlama 34B:
To find the sum of 86/62 and 99/41, we need to add the numerators and denominators separately. Numerators: 86 + 99 = 185 Denominators: 62 + 41 = 103 Therefore, the sum of 86/62 and 99/41 is 185/103. ### Answer: 185/103
Expected answer: 4832/1271
Correct? No
Problem: Calculate the sum of 87/88 and 24/13.
CodeLlama 34B:
To calculate the sum of 87/88 and 24/13, we need to add the numerators and denominators separately. Numerators: 87 + 24 = 111 Denominators: 88 + 13 = 101 Therefore, the sum of 87/88 and 24/13 is 111/101. ### Answer: 111/101
Expected answer: 3243/1144
Correct? No
Problem: Calculate ((68 / 33) + (70 / 25)). Write your answer in its simplest form.
CodeLlama 34B:
To calculate ((68 / 33) + (70 / 25)), we need to first simplify the fractions. 68 / 33 = 2 70 / 25 = 2 2/5 Now we can add the simplified fractions: 2 + 2 2/5 = 4 4/5 Therefore, ((68 / 33) + (70 / 25)) = 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.
CodeLlama 34B:
The summation of 35/97 and 11/9 is 46/97 + 11/9 = 57/97. In simplest form, 57/97 = 1/2.
Expected answer: 1382/873
Correct? No
Problem: What is the result of subtracting 79/70 from 11/5?
CodeLlama 34B:
To find the result of subtracting 79/70 from 11/5, we need to first find the common denominator of the two fractions. The least common multiple of 70 and 5 is 350. So, we can rewrite the fractions as: 79/70 = 158/105 11/5 = 22/15 Now, we can subtract the fractions: 158/105 - 22/15 = 136/105 Therefore, the result of subtracting 79/70 from 11/5 is 136/105.
Expected answer: 15/14
Correct? No
Problem: What is the sum of 68/16 and 52/78?
CodeLlama 34B:
To find the sum of 68/16 and 52/78, we need to add the two fractions. 68/16 = 4 1/4 52/78 = 3 3/7 Adding the two fractions: 4 1/4 + 3 3/7 = 7 5/7 Therefore, the sum of 68/16 and 52/78 is 7 5/7. ### Answer: 7 5/7
Expected answer: 59/12
Correct? No
Problem: Find the sum of 21/75 and 44/47.
CodeLlama 34B:
To find the sum of 21/75 and 44/47, we need to add the numerators and denominators separately. Numerators: 21 + 44 = 65 Denominators: 75 + 47 = 122 Therefore, the sum of 21/75 and 44/47 is 65/122. ### Answer: 65/122
Expected answer: 1429/1175
Correct? No
Problem: Calculate the result of (77/5 + 4/11).
CodeLlama 34B:
To calculate the result of (77/5 + 4/11), we need to follow the order of operations (PEMDAS): 1. Divide 77 by 5: 77 รท 5 = 15 2. Divide 4 by 11: 4 รท 11 = 0.36 3. Add 15 and 0.36: 15 + 0.36 = 15.36 Therefore, the result of (77/5 + 4/11) is 15.36. ### Answer: 15.36
Expected answer: 867/55
Correct? No
Problem: What's the sum of 60/48 and 37/47?
CodeLlama 34B:
Reasoning: 60/48 = <<60/48=1.25>>1.25 37/47 = <<37/47=0.77>>0.77 Sum: 1.25 + 0.77 = <<1.25+0.77=2>>2 ### Answer: 2
Expected answer: 383/188
Correct? No
Problem: Solve ((14 / 72) + (25 / 6)).
CodeLlama 34B:
To solve this problem, we need to follow the order of operations (PEMDAS): 1. Parentheses: inside the parentheses we have (14/72) + (25/6) 2. Exponents (none in this case) 3. Multiplication and Division (from left to right): * (14/72) = 0.192 * (25/6) = 4.17 4. Addition: 0.192 + 4.17 = 4.362 Therefore, the final answer is 4.362.
Expected answer: 157/36
Correct? No
Problem: What is the sum of 84/97 and 25/2?
CodeLlama 34B:
To find the sum of 84/97 and 25/2, we need to add the two fractions. 84/97 + 25/2 = 84/97 + 25/2 = 109/97 Therefore, the sum of 84/97 and 25/2 is 109/97.
Expected answer: 2593/194
Correct? No
Problem: What is the difference between the fractions 66/20 and 4/78?
CodeLlama 34B:
The difference between the fractions 66/20 and 4/78 is 62/20. To find the difference, we need to find the common denominator of the two fractions. The least common multiple of 20 and 78 is 1560. So, we can rewrite the fractions as: 66/20 = 33/10 4/78 = 2/39 Now, we can subtract the fractions: 33/10 - 2/39 = 62/10 Therefore, the difference between the fractions 66/20 and 4/78 is 62/10.
Expected answer: 1267/390
Correct? No
Problem: Calculate the expression: 83 divided by 37 minus 12 divided by 14.
CodeLlama 34B:
To calculate the expression, we need to follow the order of operations (PEMDAS): 1. Divide 83 by 37: 83 รท 37 = 2.21 2. Divide 12 by 14: 12 รท 14 = 0.85 3. Subtract the result of step 2 from the result of step 1: 2.21 - 0.85 = 1.36 Therefore, the result of the expression is 1.36.
Expected answer: 359/259
Correct? No
Problem: What is the sum of 95/57 and 28/80?
CodeLlama 34B:
Reasoning: 95/57 = 1.659 28/80 = 0.35 1.659 + 0.35 = 1.999 ### Answer: 1.999
Expected answer: 121/60
Correct? No
Problem: Calculate the sum of 14/57 and 92/42.
CodeLlama 34B:
To calculate the sum of 14/57 and 92/42, we need to follow the steps below: 1. Convert both fractions to have the same denominator. 2. Add the numerators of the equivalent fractions. 3. Add the denominators of the equivalent fractions. Step 1: Convert both fractions to have the same denominator. 14/57 = 14/57 \* 42/42 = 294/2657 92/42 = 92/42 \* 57/57 = 5094/2334 Step 2: Add the numerators of the equivalent fractions. 294 + 5094 = 5388 Step 3: Add the denominators of the equivalent fractions. 2657 + 2334 = 4991 Therefore, the sum of 14/57 and 92/42 is 5388/4991. ### Answer: 5388/4991.
Expected answer: 324/133
Correct? No
Problem: What is the result of ((77 / 55) + (6 / 5))?
CodeLlama 34B:
The result of ((77 / 55) + (6 / 5)) is 1.44. To calculate this, we first calculate the division 77 / 55, which gives us 1.41. Then, we add the result of the division 6 / 5, which gives us 1.2. Finally, we add 1.41 and 1.2, which gives us 1.44.
Expected answer: 13/5
Correct? No
Problem: Calculate the value of (56 / 8) + (90 / 86). How much does it equal?
CodeLlama 34B:
To calculate the value of (56 / 8) + (90 / 86), we need to follow the order of operations (PEMDAS): 1. Divide 56 by 8: 56 รท 8 = 7 2. Divide 90 by 86: 90 รท 86 = 1 3. Add 7 and 1: 7 + 1 = 8 Therefore, (56 / 8) + (90 / 86) equals 8.
Expected answer: 346/43
Correct? No
Problem: What is the sum of 23/20 and 82/97?
CodeLlama 34B:
To find the sum of 23/20 and 82/97, we need to add the numerators and denominators separately. Numerators: 23 + 82 = 105 Denominators: 20 + 97 = 117 Therefore, the sum of 23/20 and 82/97 is 105/117. ### Answer: 105/117
Expected answer: 3871/1940
Correct? No
Problem: Calculate the sum of 54/88 and 28/10.
CodeLlama 34B:
To calculate the sum of 54/88 and 28/10, we need to follow the order of operations (PEMDAS): 1. Parentheses: None 2. Exponents: None 3. Multiplication and Division: 54/88 + 28/10 First, we need to simplify the fractions: 54/88 = 3/5 28/10 = 7/4 Now we can add the fractions: 3/5 + 7/4 = 10/12 Therefore, the sum of 54/88 and 28/10 is 10/12.
Expected answer: 751/220
Correct? No
Problem: What is the result of the following operation: 7 / 69 + 71 / 47?
CodeLlama 34B:
To perform the operation, we need to follow the order of operations (PEMDAS): 1. Divide 7 by 69: 7 รท 69 = 0.1005 2. Divide 71 by 47: 71 รท 47 = 1.5106 3. Add the results: 0.1005 + 1.5106 = 1.6111 Therefore, the result of the operation is 1.6111.
Expected answer: 5228/3243
Correct? No
Problem: What is the sum of 15/32 and 65/15?
CodeLlama 34B:
To find the sum of 15/32 and 65/15, we need to add the numerators (15 and 65) and the denominators (32 and 15). 15/32 + 65/15 = 80/47 Therefore, the sum of 15/32 and 65/15 is 80/47.
Expected answer: 461/96
Correct? No
Problem: What is the sum of 4/31 and 76/11?
CodeLlama 34B:
To find the sum of 4/31 and 76/11, we need to add the two fractions. 4/31 = 4/31 76/11 = 76/11 To add these fractions, we need to find the least common multiple (LCM) of the denominators, which is 31 x 11 = 341. So, we can rewrite the fractions as: 4/31 = 4/341 76/11 = 76/341 Now we can add the fractions: 4/341 + 76/341 = 80/341 Therefore, the sum of 4/31 and 76/11 is 80/341. ### Answer: 80/341
Expected answer: 2400/341
Correct? No
Problem: What is the sum when you add 82/15 to 100/12?
CodeLlama 34B:
To add 82/15 and 100/12, we need to find the least common multiple (LCM) of 15 and 12, which is 60. Then, we can convert both fractions to have a denominator of 60: 82/15 = 82/15 ร 60/60 = 49 ร 60/15 = 2940/15 100/12 = 100/12 ร 60/60 = 50 ร 60/12 = 3000/12 Now we can add the fractions: 2940/15 + 3000/12 = 5940/15 So the sum is 5940/15.
Expected answer: 69/5
Correct? No
Problem: Calculate the result of the expression ((92 / 29) + (41 / 33)). Write your answer as a simplified fraction or a whole number.
CodeLlama 34B:
To calculate the result of the expression ((92 / 29) + (41 / 33)), we need to first simplify the fractions and then add them. First, we simplify the fraction (92 / 29) by dividing both the numerator and the denominator by the greatest common divisor (GCD) of 92 and 29, which is 3. 92 / 29 = 31/10 Next, we simplify the fraction (41 / 33) by dividing both the numerator and the denominator by the GCD of 41 and 33, which is 11. 41 / 33 = 3/4 Now we add the simplified fractions: 31/10 + 3/4 = 34/10 Therefore, the result of the expression ((92 / 29) + (41 / 33)) is 34/10.
Expected answer: 4225/957
Correct? No
Problem: What is the sum of 57/29 and 14/98?
CodeLlama 34B:
To find the sum of 57/29 and 14/98, we need to add the numerators (57 and 14) and the denominators (29 and 98). 57 + 14 = 71 29 + 98 = 127 So, the sum of 57/29 and 14/98 is 71/127. ### Answer: 71/127
Expected answer: 428/203
Correct? No
Problem: Solve the given expression: 70/25 + 83/28.
CodeLlama 34B:
To solve this expression, we need to follow the order of operations (PEMDAS): 1. Divide 70 by 25: 70/25 = 2 1/3 2. Divide 83 by 28: 83/28 = 3 1/3 3. Add the results: 2 1/3 + 3 1/3 = 5 2/3 Therefore, the solution to the expression is 5 2/3.
Expected answer: 807/140
Correct? No
Problem: What is the result of adding the fractions 50/73 and 20/23?
CodeLlama 34B:
To add fractions, we need to have the same denominator. In this case, we can add 50/73 and 20/23 by first finding the least common multiple (LCM) of 73 and 23, which is 1,791. So, we can rewrite the fractions as: 50/73 = 50 ร 1,791 / 73 = 1,791/73 20/23 = 20 ร 1,791 / 23 = 3,582/23 Now we can add the fractions: 1,791/73 + 3,582/23 = 5,373/73 Therefore, the result of adding the fractions 50/73 and 20/23 is 5,373/73.
Expected answer: 2610/1679
Correct? No
Problem: What is the value of ((49 / 57) + (89 / 99))?
CodeLlama 34B:
To find the value of ((49 / 57) + (89 / 99)), we need to first simplify the fractions. 49 / 57 = 49 ร 99 / (57 ร 99) = 49 ร 99 / 5633 89 / 99 = 89 ร 57 / (99 ร 57) = 89 ร 57 / 5633 Now we can add the simplified fractions: (49 / 57) + (89 / 99) = (49 ร 99 / 5633) + (89 ร 57 / 5633) = 49 ร 99 + 89 ร 57 / 5633 = 4851 + 4933 / 5633 = 9784 / 5633 Therefore, the value of ((49 / 57) + (89 / 99)) is 9784/5633. ### Answer: 9784/5633
Expected answer: 3308/1881
Correct? No
Problem: Calculate the result of 94 / 35 - 23 / 49. Report your answer as a simplified fraction.
CodeLlama 34B:
To calculate the result of 94 / 35 - 23 / 49, we need to follow the order of operations (PEMDAS): 1. Divide 94 by 35: 94 รท 35 = 2.69 2. Divide 23 by 49: 23 รท 49 = 0.47 3. Subtract the two fractions: 2.69 - 0.47 = 2.22 Therefore, the result of 94 / 35 - 23 / 49 is 2.22. To simplify this fraction, we can divide both the numerator and the denominator by the greatest common divisor (GCD) of the two numbers, which is 11: 2.22 รท 11 = 0.20 Therefore, the simplified fraction is 0.20.
Expected answer: 543/245
Correct? No
Problem: Calculate the sum of 58/30 and 49/37 and leave your answer as a fraction.
CodeLlama 34B:
To calculate the sum of 58/30 and 49/37, we need to find the least common multiple (LCM) of 30 and 37. The LCM of 30 and 37 is 30 \* 37 = 1190. So, we can rewrite the fractions as: 58/30 = 19/5 49/37 = 17/5 Now, we can add the fractions: 19/5 + 17/5 = 36/5 Therefore, the sum of 58/30 and 49/37 is 36/5.
Expected answer: 1808/555
Correct? No
Problem: Calculate the sum of 45/53 and 71/50.
CodeLlama 34B:
To calculate the sum of 45/53 and 71/50, we need to add the numerators and denominators separately. Numerators: 45 + 71 = 116 Denominators: 53 + 50 = 103 Therefore, the sum of 45/53 and 71/50 is 116/103. ### Answer: 116/103
Expected answer: 6013/2650
Correct? No
Problem: Calculate the sum of 36/72 and 49/1.
CodeLlama 34B:
To calculate the sum of 36/72 and 49/1, we need to first find the least common denominator (LCD) of the two fractions. The LCD is the smallest number that both numbers can divide into. In this case, the LCD of 36/72 and 49/1 is 288. So, we can rewrite the fractions as: 36/72 = 12/288 49/1 = 49/288 Now, we can add the fractions: 12/288 + 49/288 = 61/288 Therefore, the sum of 36/72 and 49/1 is 61/288.
Expected answer: 99/2
Correct? No
Problem: What is the sum of 61/20 and 29/15?
CodeLlama 34B:
To find the sum of 61/20 and 29/15, we need to find the least common multiple (LCM) of 20 and 15, which is 300. Then, we can convert both fractions to have a denominator of 300 and add them. 61/20 = 306/300 29/15 = 117/150 So, the sum is: 306/300 + 117/150 = 423/300 Therefore, the sum of 61/20 and 29/15 is 423/300.
Expected answer: 299/60
Correct? No
Problem: Solve the expression ((33 / 90) + (77 / 79)). Give your answer as an unsimplified fraction.
CodeLlama 34B:
((33 / 90) + (77 / 79)) = (33/90) + (77/79) = (33 + 77)/(90 + 79) = 110/169. Therefore, the answer is 110/169.
Expected answer: 3179/2370
Correct? No
Problem: What is the sum of 30/79 and 29/6? Give your answer as a fraction.
CodeLlama 34B:
To find the sum of 30/79 and 29/6, we need to find the least common multiple (LCM) of the denominators, which is 79 and 6. The LCM of 79 and 6 is 123. So, we can convert both fractions to have a denominator of 123: 30/79 = 30 ร 6/79 = 6/13 29/6 = 29 ร 79/6 = 207/6 Now we can add the fractions: 6/13 + 207/6 = 213/13 Therefore, the sum of 30/79 and 29/6 is 213/13.
Expected answer: 2471/474
Correct? No
Problem: What is the answer when you subtract 11/66 from 59/2?
CodeLlama 34B:
To subtract 11/66 from 59/2, we need to find the common denominator of the two fractions. The least common multiple of 66 and 2 is 220. So, we can rewrite the fractions as: 59/2 = 59/2 ร 220/220 = 118/220 11/66 = 11/66 ร 220/220 = 44/220 Now, we can subtract the fractions: 118/220 - 44/220 = 74/220 Therefore, the answer is 74/220.
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?
CodeLlama 34B:
To add these two fractions, we need to find the least common multiple (LCM) of the denominators, which is the smallest number that both numbers can divide into. The least common multiple of 23 and 26 is 303. So, we can convert both fractions to have a denominator of 303: 58/23 = 58 ร 303/23 = 1901/303 25/26 = 25 ร 303/26 = 1901/303 Now we can add the fractions: 1901/303 + 1901/303 = 3802/303 So, the sum of 58/23 and 25/26 is 3802/303.
Expected answer: 2083/598
Correct? No
Problem: Calculate the sum of the fractions 70/13 and 17/52.
CodeLlama 34B:
To calculate the sum of the fractions 70/13 and 17/52, we need to find the least common denominator (LCD) of the two fractions. The LCD is the smallest number that both denominators can divide into. In this case, the LCD of 13 and 52 is 650. So, we can rewrite the fractions as: 70/13 = 70 ร 650/13 = 4550/13 17/52 = 17 ร 650/52 = 1050/52 Now we can add the fractions: 4550/13 + 1050/52 = 5600/13 Therefore, the sum of the fractions 70/13 and 17/52 is 5600/13.
Expected answer: 297/52
Correct? No
Problem: What is the sum of 78/44 and 17/91?
CodeLlama 34B:
To find the sum of 78/44 and 17/91, we need to add the two fractions. 78/44 = 19/11 17/91 = 1/91/11 Adding the two fractions, we get: 19/11 + 1/91/11 = 20/11 Therefore, the sum of 78/44 and 17/91 is 20/11. ### Answer: 20/11
Expected answer: 3923/2002
Correct? No
Problem: What is the sum of 43/4 and 71/4?
CodeLlama 34B:
Reasoning: 43/4 = 10 + 3/4 71/4 = 17 + 3/4 Therefore, the sum is: 10 + 17 = 27 ### Answer: 27
Expected answer: 57/2
Correct? No
Problem: What is the result of adding the fractions 17/74 and 53/27?
CodeLlama 34B:
To add fractions, you need to have the same denominator. In this case, we can add 17/74 and 53/27 by first finding the least common multiple (LCM) of 74 and 27, which is 189. Then, we can convert both fractions to have a denominator of 189: 17/74 = 17/189 53/27 = 53/189 Now we can add the fractions: 17/189 + 53/189 = 70/189 So the result of adding the fractions 17/74 and 53/27 is 70/189. ### Answer: 70/189
Expected answer: 4381/1998
Correct? No
Problem: Compute the value of (76/76) + (96/16).
CodeLlama 34B:
Reasoning: (76/76) = 1 (96/16) = 6 1 + 6 = 7 ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: After finding the value of (76/76) + (96/16), what is the result when you add the solution to itself?
CodeLlama 34B:
Reasoning: (76/76) + (96/16) = 7 7 + 7 = 14 ### Answer: 14
Expected answer: 14
Correct? Yes
Problem: You originally calculated (76/76) + (96/16). Now reconsider your thought, what would be the new total if the second fraction was 96/33 instead of 96/16?
CodeLlama 34B:
Reasoning: (76/76) = 1 (96/33) = 3 1 + 3 = 4 ### Answer: 4
Expected answer: 43/11
Correct? No
Problem: What is the result of ((94 / 14) - (50 / 90))? Answer as a simplified fraction.
CodeLlama 34B:
To find the result of ((94 / 14) - (50 / 90)), we need to follow the order of operations (PEMDAS): 1. Divide 94 by 14: 94 รท 14 = 6 2. Divide 50 by 90: 50 รท 90 = 1/2 3. Subtract 1/2 from 6: 6 - 1/2 = 5 1/2 Therefore, the result of ((94 / 14) - (50 / 90)) is 5 1/2.
Expected answer: 388/63
Correct? No
Problem: What is the result of subtracting twenty-nine seventy-ninths from thirty-three sevenths?
CodeLlama 34B:
To find the result of subtracting twenty-nine seventy-ninths from thirty-three sevenths, we need to convert both numbers to a common denominator. Let's convert twenty-nine seventy-ninths to a fraction with a denominator of 79: 29/79 = 1/3 Now, let's convert thirty-three sevenths to a fraction with a denominator of 79: 33/79 = 4/3 Now we can subtract the two fractions: 4/3 - 1/3 = 1/3 So the result of subtracting twenty-nine seventy-ninths from thirty-three sevenths is 1/3.
Expected answer: 2404/553
Correct? No
Problem: What is the sum of 60/79 and 53/38?
CodeLlama 34B:
To find the sum of 60/79 and 53/38, we need to add the numerators (60 and 53) and the denominators (79 and 38). 60/79 + 53/38 = (60 + 53)/(79 + 38) = 113/117 Therefore, the sum of 60/79 and 53/38 is 113/117.
Expected answer: 6467/3002
Correct? No
Problem: Solve the following fraction equation: 39/48 + 19/84.
CodeLlama 34B:
To solve this fraction equation, we need to find the least common multiple (LCM) of the denominators, which is 48. Then, we can convert both fractions to have a denominator of 48: 39/48 = 7/8 19/84 = 1/9 Now, we can add the fractions: 7/8 + 1/9 = 8/8 = 1 Therefore, the sum of the two fractions is 1.
Expected answer: 349/336
Correct? No
Problem: What is the sum of 16/86 and 60/3?
CodeLlama 34B:
To find the sum of 16/86 and 60/3, we need to add the two fractions. 16/86 + 60/3 = 16/86 + 20/3 = <<16/86+20/3=26/86>>26/86 Therefore, the sum of 16/86 and 60/3 is 26/86.
Expected answer: 868/43
Correct? No
Problem: Solve the following equation: ((95 / 69) + (67 / 9))
CodeLlama 34B:
To solve this equation, we need to follow the order of operations (PEMDAS): 1. Parentheses: inside the parentheses we have (95 / 69) + (67 / 9) 2. Exponents (none in this case) 3. Multiplication and Division (from left to right): * (95 / 69) = 1.37 * (67 / 9) = 7.44 4. Addition: 1.37 + 7.44 = 8.81 Therefore, the solution to the equation is 8.81.
Expected answer: 1826/207
Correct? No
Problem: Calculate the result of 95 / 16 - 43 / 60.
CodeLlama 34B:
To calculate the result of 95 / 16 - 43 / 60, we need to follow the order of operations (PEMDAS): 1. Divide 95 by 16: 95 รท 16 = 6 2. Divide 43 by 60: 43 รท 60 = 0.717 3. Subtract 0.717 from 6: 6 - 0.717 = 5.283 Therefore, the result of 95 / 16 - 43 / 60 is 5.283.
Expected answer: 1253/240
Correct? No
Problem: What is the sum of the fractions 38/8 and 4/16?
CodeLlama 34B:
Reasoning: 38/8 = <<38/8=4>>4 4/16 = <<4/16=1/4>>1/4 Sum: 4 + 1/4 = <<4+1/4=9/4>>9/4 ### Answer: 9/4
Expected answer: 5
Correct? No
Problem: Calculate the result of 67 / 15 - 27 / 12.
CodeLlama 34B:
To calculate the result of 67 / 15 - 27 / 12, we need to follow the order of operations (PEMDAS): 1. Divide 67 by 15: 67 รท 15 = 4.47 2. Divide 27 by 12: 27 รท 12 = 2.25 3. Subtract 2.25 from 4.47: 4.47 - 2.25 = 2.22 Therefore, the result of 67 / 15 - 27 / 12 is 2.22.
Expected answer: 133/60
Correct? No
Problem: Calculate the sum of 38/59 and 80/94.
CodeLlama 34B:
To calculate the sum of 38/59 and 80/94, we need to first find the least common denominator (LCD) of the two fractions. The LCD is the smallest number that both numbers can divide into. In this case, the LCD of 59 and 94 is 146. So, we can rewrite the fractions as: 38/59 = 38/146 80/94 = 80/146 Now, we can add the fractions: 38/146 + 80/146 = 118/146 Therefore, the sum of 38/59 and 80/94 is 118/146.
Expected answer: 4146/2773
Correct? No
Problem: Calculate the sum of 10/14 and 70/20. Report your answer as a decimal.
CodeLlama 34B:
To calculate the sum of 10/14 and 70/20, we need to first find the least common denominator (LCD) of the two fractions. The LCD is the smallest number that both numbers can divide into. In this case, the LCD of 10/14 and 70/20 is 280. So, we can rewrite the fractions as: 10/14 = 10/280 70/20 = 70/280 Now, we can add the fractions: 10/280 + 70/280 = 80/280 The sum of 10/14 and 70/20 is 80/280. To report the answer as a decimal, we can divide the numerator by the denominator: 80/280 = 0.2857 Therefore, the sum of 10/14 and 70/20 is 0.2857.
Expected answer: 59/14
Correct? No
Problem: What is the result of subtracting 19/44 from 33/5?
CodeLlama 34B:
To subtract 19/44 from 33/5, we need to find a common denominator for both fractions. The least common multiple of 44 and 5 is 220. So, we can rewrite the fractions as: 33/5 = 33/220 19/44 = 19/220 Now, we can subtract the fractions: 33/220 - 19/220 = 14/220 Therefore, the result of subtracting 19/44 from 33/5 is 14/220.
Expected answer: 1357/220
Correct? No
Problem: Find the result for (97 / 13) + (62 / 22). Answer as a decimal to the nearest hundredth.
CodeLlama 34B:
Reasoning: (97 / 13) = 7.308 (62 / 22) = 2.818 (7.308 + 2.818) = 10.126 ### Answer: 10.126
Expected answer: 1470/143
Correct? No
Problem: What is the sum of 78 divided by 35 and 30 divided by 60?
CodeLlama 34B:
To find the sum of 78 divided by 35 and 30 divided by 60, we need to follow the order of operations (PEMDAS): 1. Divide 78 by 35: 78 รท 35 = 2.23 2. Divide 30 by 60: 30 รท 60 = 0.5 3. Add the results: 2.23 + 0.5 = 2.73 Therefore, the sum of 78 divided by 35 and 30 divided by 60 is 2.73.
Expected answer: 191/70
Correct? No
Problem: What is the sum of 49/75 and 88/58?
CodeLlama 34B:
Reasoning: 49/75 = <<49/75=0.6533>>0.6533 88/58 = <<88/58=1.5>>1.5 Sum = 0.6533 + 1.5 = <<0.6533+1.5=2.1533>>2.1533 ### Answer: 2.1533
Expected answer: 4721/2175
Correct? No
Problem: What is the result of ((50 / 2) - (50 / 32))?
CodeLlama 34B:
To calculate the result of ((50 / 2) - (50 / 32)), we need to follow the order of operations (PEMDAS): 1. Divide 50 by 2: 50 รท 2 = 25 2. Divide 50 by 32: 50 รท 32 = 1.5625 3. Subtract the result of step 2 from the result of step 1: 25 - 1.5625 = 23.4375 Therefore, the result of ((50 / 2) - (50 / 32)) is 23.4375.
Expected answer: 375/16
Correct? Yes
Problem: What is the result of ((77 / 30) + (18 / 51))?
CodeLlama 34B:
To calculate the result of ((77 / 30) + (18 / 51)), we need to follow the order of operations (PEMDAS): 1. Divide 77 by 30: 77 รท 30 = 2.56 2. Divide 18 by 51: 18 รท 51 = 0.35 3. Add the results: 2.56 + 0.35 = 2.91 Therefore, the result of ((77 / 30) + (18 / 51)) is 2.91. ### Answer: 2.91
Expected answer: 1489/510
Correct? No
Problem: What is the result of (36 / 37) + (8 / 4)?
CodeLlama 34B:
The result of (36 / 37) + (8 / 4) is: (36 / 37) = 0.975609756097561 (8 / 4) = 2 Adding these two fractions gives us: 0.975609756097561 + 2 = 2.975609756097561 Therefore, the result of (36 / 37) + (8 / 4) is 2.975609756097561.
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.
CodeLlama 34B:
To calculate the result of (57 / 22) - (72 / 48), we need to follow the order of operations (PEMDAS): 1. Calculate the expressions inside the parentheses: (57 / 22) = 2.636363636363636363636363636364 (72 / 48) = 1.5 2. Subtract the two expressions: 2.636363636363636363636363636364 - 1.5 = 1.136363636363636363636363636364 Therefore, the result of (57 / 22) - (72 / 48) is 1.136363636363636363636363636364. To express this result as a fraction in the simplest form, we can simplify the decimal by dividing both the numerator and denominator by the greatest common divisor (GCD) of the numerator and denominator: 1.136363636363636363636363636364 = 136363636363636363636363636364 / 12000000000000000000000000000000 Therefore, the result of (57 / 22) - (72 / 48) expressed as a fraction in the simplest form is 136363636363636363636363636364 / 12000000000000000000000000000000.
Expected answer: 12/11
Correct? No
Problem: What is the sum of 48 divided by 16 and 12 divided by 29?
CodeLlama 34B:
The sum of 48 divided by 16 is 3. The sum of 12 divided by 29 is 0.41. ### Answer: 3 and 0.41.
Expected answer: 99/29
Correct? No
Problem: What is the sum of 37/20 and 16/75? Write your answer as a simplified fraction.
CodeLlama 34B:
Reasoning: 37/20 + 16/75 = <<37/20+16/75=11/15>>11/15 ### Answer: 11/15
Expected answer: 619/300
Correct? No
Problem: Calculate the summation: 83/40 + 6/8.
CodeLlama 34B:
To calculate the summation, we need to add the two fractions: 83/40 + 6/8 = 169/40 + 3/8 = 172/40 Therefore, the summation is 172/40.
Expected answer: 113/40
Correct? No
Problem: Find the result of the addition of the fractions 37/69 and 67/61.
CodeLlama 34B:
Reasoning: 37/69 + 67/61 = <<37/69+67/61=104/130>>104/130 ### Answer: 104/130
Expected answer: 6880/4209
Correct? No
Problem: What is the sum of 89/84 and 75/34?
CodeLlama 34B:
To find the sum of 89/84 and 75/34, we need to add the two fractions. 89/84 + 75/34 = 89/84 + 75/34 = 164/118 = 82/59 Therefore, the sum of 89/84 and 75/34 is 82/59. ### Answer: 82/59
Expected answer: 4663/1428
Correct? No
Problem: What is the result when you add 51/78 and 44/83?
CodeLlama 34B:
To add fractions, you need to have the same denominator. In this case, we can multiply both fractions by the least common multiple (LCM) of 78 and 83, which is 6298. 51/78 x 6298 = 3449 44/83 x 6298 = 2822 Adding the two products: 3449 + 2822 = 6271 Therefore, the result when you add 51/78 and 44/83 is 6271/6298.
Expected answer: 2555/2158
Correct? No
Problem: Calculate the sum of the fractions 99/85 and 77/55.
CodeLlama 34B:
Reasoning: 1. 99/85 = <<99/85=1.176>>1.176 2. 77/55 = <<77/55=1.4>>1.4 3. 1.176 + 1.4 = <<1.176+1.4=2.576>>2.576 Therefore, the sum of the fractions 99/85 and 77/55 is 2.576. ### Answer: 2.576
Expected answer: 218/85
Correct? No
Problem: What is the value of 97 / 56 - 31 / 52? Represent your answer as a simplified fraction.
CodeLlama 34B:
To find the value of 97/56 - 31/52, we need to first simplify the fractions. 97/56 = 17/8 31/52 = 15/16 Now, we can subtract: 17/8 - 15/16 = 1/8 So, the value of 97/56 - 31/52 is 1/8.
Expected answer: 827/728
Correct? No
Problem: Calculate the result of the following fraction operation: (78 / 74) + (72 / 51).
CodeLlama 34B:
To calculate the result of the given fraction operation, we need to follow the order of operations (PEMDAS): 1. Parentheses: Inside the parentheses, we have (78 / 74) + (72 / 51). 2. Exponents (none in this case). 3. Multiplication and Division (from left to right): * (78 / 74) = 1.05 * (72 / 51) = 1.41 4. Addition: 1.05 + 1.41 = 2.46 Therefore, the result of the given fraction operation is 2.46.
Expected answer: 1551/629
Correct? No
Problem: What is the result of the operation (33 / 23) - (12 / 75)? Express your answer as a fraction.
CodeLlama 34B:
To perform the operation, we need to follow the order of operations (PEMDAS): 1. Divide 33 by 23: 33 รท 23 = 1.43 2. Divide 12 by 75: 12 รท 75 = 0.16 3. Subtract the result of step 2 from the result of step 1: 1.43 - 0.16 = 1.27 Therefore, the result of the operation is 1.27. As a fraction, we can write 1.27 as 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.
CodeLlama 34B:
To perform the operation 85/42 - 98/99, we need to follow the order of operations (PEMDAS): 1. Divide 85 by 42: 85/42 = 2.02 2. Divide 98 by 99: 98/99 = 0.99 3. Subtract the result of step 2 from the result of step 1: 2.02 - 0.99 = 1.03 Therefore, the result of the operation 85/42 - 98/99 is 1.03.
Expected answer: 1433/1386
Correct? No
Problem: What is the sum of 19/30 and 75/77? Express your answer as a simplified fraction.
CodeLlama 34B:
To find the sum of 19/30 and 75/77, we need to add the numerators (19 and 75) and the denominators (30 and 77). 19 + 75 = 94 30 + 77 = 107 The sum of 19/30 and 75/77 is 94/107. ### Answer: 94/107
Expected answer: 3713/2310
Correct? No
Problem: What is the sum of 57/66 and 39/64? Please express your answer as a fraction.
CodeLlama 34B:
The sum of 57/66 and 39/64 is 96/66 + 39/64 = 135/66. Therefore, the sum of 57/66 and 39/64 is 135/66.
Expected answer: 1037/704
Correct? No
Problem: What is the sum of 80/13 and 2/48?
CodeLlama 34B:
Reasoning: 80/13 = 6 1/13 2/48 = 1/24 Sum: 6 1/13 + 1/24 = 7 3/13 ### Answer: 7 3/13
Expected answer: 1933/312
Correct? No
Problem: Calculate the result of the operation ((55 / 30) - (1 / 72)).
CodeLlama 34B:
To calculate the result of the operation ((55 / 30) - (1 / 72)), we need to follow the order of operations (PEMDAS): 1. Divide 55 by 30: 55 รท 30 = 1.83 2. Divide 1 by 72: 1 รท 72 = 0.014 3. Subtract the result of step 2 from the result of step 1: 1.83 - 0.014 = 1.816 Therefore, the result of the operation ((55 / 30) - (1 / 72)) is 1.816.
Expected answer: 131/72
Correct? No
Problem: Calculate the sum of the fractions 69/21 and 71/86.
CodeLlama 34B:
To calculate the sum of the fractions 69/21 and 71/86, we need to find the common denominator. The least common multiple of 21 and 86 is 1798. So, we can rewrite the fractions as: 69/21 = 69/1798 ร 1798 71/86 = 71/1798 ร 1798 Now, we can add the fractions: 69/1798 ร 1798 + 71/1798 ร 1798 = 140/1798 Therefore, the sum of the fractions 69/21 and 71/86 is 140/1798.
Expected answer: 2475/602
Correct? No
Problem: What is the sum of 24/60 and 42/45? Answer as a simplified fraction.
CodeLlama 34B:
Reasoning: 24/60 = 24/60 = <<24/60=1/3>>1/3 42/45 = 42/45 = <<42/45=3/5>>3/5 The sum of 1/3 and 3/5 is 4/15. ### Answer: 4/15
Expected answer: 4/3
Correct? No
Problem: What is the sum of 64/76 and 35/33?
CodeLlama 34B:
To find the sum of 64/76 and 35/33, we need to add the numerators and denominators separately. Numerators: 64 + 35 = 99 Denominators: 76 + 33 = 109 Therefore, the sum of 64/76 and 35/33 is 99/109. ### Answer: 99/109
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.
CodeLlama 34B:
The sum of 47/16 and 96/10 is 143/10. To see why, let's first convert both fractions to have the same denominator: 47/16 = 47/16 x 10/10 = 470/160 96/10 = 96/10 x 16/16 = 1568/160 Now we can add the fractions: 470/160 + 1568/160 = 2038/160 This is already in the form of a mixed fraction, so we can simplify it further: 2038/160 = 129 3/10 Therefore, the sum of 47/16 and 96/10 is 129 3/10.
Expected answer: 1003/80
Correct? No
Problem: What is the result of the operation (58 / 2) + (31 / 32)?
CodeLlama 34B:
To perform the operation, we need to follow the order of operations (PEMDAS): 1. Divide 58 by 2: 58 / 2 = 29 2. Divide 31 by 32: 31 / 32 = 0.96875 3. Add 29 and 0.96875: 29 + 0.96875 = 30.96875 Therefore, the result of the operation is 30.96875.
Expected answer: 959/32
Correct? No
Problem: What is the sum of 26/90 and 50/26 when calculated as a fraction?
CodeLlama 34B:
To calculate the sum of 26/90 and 50/26 as a fraction, we need to find the least common denominator (LCD) of the two fractions. The LCD is the smallest number that both denominators can divide into. In this case, the LCD of 90 and 26 is 180. So, we can rewrite the fractions as: 26/90 = 26/180 50/26 = 50/180 Now, we can add the fractions: 26/180 + 50/180 = 76/180 Therefore, the sum of 26/90 and 50/26 as a fraction is 76/180. ### Answer: 76/180
Expected answer: 1294/585
Correct? No
Problem: Calculate the sum of 80/98 and 92/82.
CodeLlama 34B:
To calculate the sum of 80/98 and 92/82, we need to follow the correct order of operations. 1. Calculate the division: 80 รท 98 = 0.82 92 รท 82 = 1.13 2. Add the results: 0.82 + 1.13 = 1.95 Therefore, the sum of 80/98 and 92/82 is 1.95.
Expected answer: 3894/2009
Correct? No
Problem: Calculate the sum of 89/44 and 69/5.
CodeLlama 34B:
To calculate the sum of 89/44 and 69/5, we need to first find the least common multiple (LCM) of 44 and 5. The LCM of 44 and 5 is 220. So, we can rewrite the fractions as: 89/44 = 89/220 = 2/7 69/5 = 69/220 = 13/44 Now, we can add the fractions: 2/7 + 13/44 = 15/44 Therefore, the sum of 89/44 and 69/5 is 15/44.
Expected answer: 3481/220
Correct? No
Problem: Calculate the following expression: 79/32 - 52/55.
CodeLlama 34B:
To calculate the expression 79/32 - 52/55, we need to follow the order of operations (PEMDAS): 1. Divide 79 by 32: 79 รท 32 = 2.46 2. Divide 52 by 55: 52 รท 55 = 0.94 3. Subtract 0.94 from 2.46: 2.46 - 0.94 = 1.52 Therefore, 79/32 - 52/55 = 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?
CodeLlama 34B:
Reasoning: 1. The usual length of a piece of wood is 45/2 = <<45/2=22.5>>22.5 feet. 2. A piece of wood that is 18/90 feet shorter than the usual length is 22.5 - 18/90 = <<22.5-18/90=20.75>>20.75 feet long. Therefore, the piece of wood that Wooden Treasures sold is 20.75 feet long. ### Answer: 20.75 feet.
Expected answer: 223/10
Correct? No
Problem: What is the sum of 99/92 and 15/74 as a simplified fraction?
CodeLlama 34B:
Reasoning: 99/92 + 15/74 = <<99/92+15/74=114/92+15/74=129/92>>129/92 ### Answer: 129/92
Expected answer: 4353/3404
Correct? No
Problem: Calculate the result of 54/1 + 62/30. Express your answer in simplest terms.
CodeLlama 34B:
To calculate the result of 54/1 + 62/30, 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 3. Add 54 and 2: 54 + 2 = 56 Therefore, the result of 54/1 + 62/30 is 56.
Expected answer: 841/15
Correct? No
Problem: What value do you get by adding 85/29 and 47/7?
CodeLlama 34B:
To add 85/29 and 47/7, we need to find the least common multiple (LCM) of the denominators, which is 29 x 7 = 203. Then, we can convert both fractions to have a denominator of 203: 85/29 = 85 x 7/29 = 575/203 47/7 = 47 x 29/7 = 1393/203 Now we can add the fractions: 575/203 + 1393/203 = 1968/203 So the sum of 85/29 and 47/7 is 1968/203.
Expected answer: 1958/203
Correct? No