CodeLlama 7B on 5.NF.B.4
Common Core Standard 5.NF.B.4
This standard covers the following:
Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
Problem: Determine the product when you multiply the fraction 8/9 by the fraction 19/3. Please provide your answer as a simplified fraction.
CodeLlama 7B:
To multiply the fractions 8/9 and 19/3, we need to follow the standard procedure for multiplying fractions. First, we need to convert the fractions to their equivalent decimals. 8/9 = 0.8888888888888889 19/3 = 0.6333333333333333 Now, we can multiply the decimals to get the product: 0.8888888888888889 x 0.6333333333333333 = 0.5622222222222222 Next, we need to convert the product back to a fraction. To do this, we can divide the product by its greatest common divisor (GCD): 0.5622222222222222 / 1 = 0.5622222222222222 Therefore, the product of the fractions 8/9 and 19/3 is 0.5622222222222222.
Expected answer: 152/27
Correct? No
Problem: Julian is cutting sections of rope for a project. Each section is 13/2 feet long. He is only able to use 5/7 of each section. How many feet are in the usable part of each section of rope? Calculate this by multiplying 13/2 by 5/7.
CodeLlama 7B:
To find the usable length of each section of rope, we need to multiply the length of each section by the fraction of the section that is usable. The length of each section is 13/2 feet, which is equal to 6.5 feet. The fraction of the section that is usable is 5/7, which is equal to 0.7142857142857143. Therefore, the usable length of each section of rope is 6.5 feet multiplied by 0.7142857142857143, which is equal to 4.635483870967742 feet. So, the usable length of each section of rope is 4.635483870967742 feet.
Expected answer: 65/14
Correct? No
Problem: What is the result when you multiply the whole number 12 by 1?
CodeLlama 7B:
When you multiply the whole number 12 by 1, the result is 12.
Expected answer: 12
Correct? Yes
Problem: If you take the product of 12 and 1, and then multiply that result by the fraction 7/16, what would be the final result? Write your answer as a simplified fraction or a whole number, if possible.
CodeLlama 7B:
If you take the product of 12 and 1, and then multiply that result by the fraction 7/16, the final result would be 12 × 1 × 7/16 = 9/2. Simplifying the fraction, we get 9/2 = 4 1/2. Therefore, the final result is 4 1/2.
Expected answer: 21/4
Correct? No
Problem: Previously, you found the result of multiplying 12 by 1. Now, let's change the scenario and replace the 12 with 11. What would be the result when you multiply the whole number 11 by 1?
CodeLlama 7B:
When you multiply the whole number 11 by 1, the result is 11.
Expected answer: 11
Correct? Yes
Problem: Find the answer of the given math problem: 14 / 15 * 12 / 4, performing the multiplication operation on fractions and whole numbers. Provide your answer as a simplified fraction or, if possible, as a whole number.
CodeLlama 7B:
To solve this problem, we need to follow the order of operations (PEMDAS): 1. Multiply 14 and 12: 14 × 12 = 168 2. Divide 168 by 4: 168 ÷ 4 = 42 Therefore, the answer is 42.
Expected answer: 14/5
Correct? No
Problem: Compute the value for the following expression: 15 * (5 / 17). Write your answer as a decimal rounded to the nearest hundredth.
CodeLlama 7B:
The expression is: 15 * (5 / 17) First, we need to evaluate the expression inside the parentheses. The expression inside the parentheses is 5 / 17, which is equal to 5 / 17 = 0.2941176470588235. Next, we can multiply 15 by 0.2941176470588235 to get the final answer: 15 * 0.2941176470588235 = 4.2941176470588235. Rounding to the nearest hundredth, the final answer is 4.3.
Expected answer: 75/17
Correct? No
Problem: Find the result of the following calculation: 16 * (12 / 19)
CodeLlama 7B:
To perform this calculation, we need to follow the order of operations (PEMDAS): 1. Multiply 16 and 12: 16 × 12 = 192 2. Divide 192 by 19: 192 ÷ 19 = 10 Therefore, the result of the calculation is 10.
Expected answer: 192/19
Correct? No
Problem: If a farmer has 10/17 of a barrel of apples and he decides to multiply that amount by 18/5 barrels, how many barrels of apples will he have in total? Calculate your answer keeping it as a simplified fraction.
CodeLlama 7B:
To find the total number of barrels of apples, we need to multiply the number of barrels by the number of apples in each barrel. 10/17 barrels of apples x 18/5 barrels = 10 x 3 = 30 barrels Therefore, the farmer will have 30 barrels of apples in total. ### Answer: 30/1
Expected answer: 36/17
Correct? No
Problem: Simplify the expression: (20 / 4) * (1 / 5). What is the result?
CodeLlama 7B:
To simplify the expression, we can start by multiplying the two fractions: (20 / 4) * (1 / 5) = (5 / 2) * (1 / 5) = (5 / 2) / (1 / 5) = 5 / 2 So the result is 5 / 2.
Expected answer: 1
Correct? No
Problem: Julia has 11 boxes and she decides to fill 8/11 of each box with apples. If each box can hold up to 1 bushel of apples, how many bushels of apples did she use in total?
CodeLlama 7B:
Reasoning: Julia used 8/11 of each box, which means she used 8/11 of the maximum capacity of each box. Since each box can hold up to 1 bushel of apples, Julia used a total of 8/11 x 1 = <<8/11*1=0.7272727272727273>>0.7272727272727273 bushels of apples in total. ### Answer: 0.7272727272727273
Expected answer: 8
Correct? No
Problem: In a bakery, a baker uses 9/4 cups of sugar for a cake and 16/15 cups for a batch of cookies. If he needs the equal amount of sugar for the cake and the cookies, how much sugar in cups will he use in total? Calculate it by multiplying the two fractions.
CodeLlama 7B:
To find the total amount of sugar in cups, we need to multiply the fractions for the cake and the cookies. 9/4 cups = 2 cups 16/15 cups = 1 cup So, the total amount of sugar in cups will be: 2 cups x 1 cup = 2 cups Therefore, the baker will use 2 cups of sugar in total.
Expected answer: 12/5
Correct? No
Problem: If Peter was making home-made pizza and he needed 19/9 cups of flour and 14/18 cups of sugar for his pizza dough, how many cups of ingredients in total did he need? Multiply the amounts of flour and sugar together to find the total.
CodeLlama 7B:
To find the total number of cups of ingredients needed, we need to multiply the amounts of flour and sugar together. 19/9 cups of flour = 2 cups 14/18 cups of sugar = 0.78 cups Therefore, the total number of cups of ingredients needed is 2 x 0.78 = 1.56 cups.
Expected answer: 133/81
Correct? No
Problem: What is the result when you multiply the fractions 14/7 and 16/4?
CodeLlama 7B:
To multiply fractions, you need to follow the correct order of operations. First, you need to multiply the numerators (the top numbers) and then multiply the denominators (the bottom numbers). So, when you multiply the fractions 14/7 and 16/4, you get: 14/7 x 16/4 = (14)(16)/(7)(4) = 208/28 So, the result of multiplying the fractions 14/7 and 16/4 is 208/28.
Expected answer: 8
Correct? No
Problem: Calculate the result of (17 / 18) multiplied by (13 / 8). Write the answer as a simplified fraction.
CodeLlama 7B:
To calculate the result of (17 / 18) multiplied by (13 / 8), we need to follow the order of operations (PEMDAS): 1. Multiply 17 and 13: 17 × 13 = 221 2. Divide 221 by 18: 221 ÷ 18 = 12 3. Divide 12 by 8: 12 ÷ 8 = 1 1/2 Therefore, the result of (17 / 18) multiplied by (13 / 8) is 1 1/2. Simplifying the fraction, we get: 1 1/2 = 3/2 So the simplified fraction is 3/2.
Expected answer: 221/144
Correct? No
Problem: Evaluate the following expression: ((15 / 15) * 18) and write your answer.
CodeLlama 7B:
The expression is: ((15 / 15) * 18) First, we need to evaluate the expression inside the parentheses. The expression inside the parentheses is: 15 / 15 = 1 So, the expression inside the parentheses is: 1 * 18 = 18 Therefore, the final expression is: ((1 * 18) = 18 The answer is 18.
Expected answer: 18
Correct? Yes
Problem: A group of 18 students is planning a pizza party. If each student will eat 17/20 of a pizza, how many pizzas should they order?
CodeLlama 7B:
To determine how many pizzas the group should order, we need to calculate the total number of slices that the students will eat. Each student will eat 17/20 of a pizza, so the total number of slices that the students will eat is: 17/20 x 18 = 324/20 = 16.2 Since pizzas are typically cut into 8-inch slices, we need to round up to the nearest whole number of pizzas. Therefore, the group should order 17 pizzas. ### Answer: 17
Expected answer: 153/10
Correct? No
Problem: Sophie picked 9 pounds of apples. She decided to make apple pies for a community gathering, and each pie requires about 1/14 of the total apples she picked. Sophie made 7 pies. How many pounds of apples did she use in total? Calculate it using the multiplication of fraction and a whole number, specifically ((9 / 14) * 7). Write your answer as a simplified fraction or a whole number.
CodeLlama 7B:
To find the total amount of apples Sophie used, we can multiply the fraction of apples she used for each pie by the number of pies she made. ((9 / 14) * 7) = (9 / 14) * 7 = 7 / 14 * 7 = 7 * 7 = 49 So, Sophie used 49 pounds of apples in total. ### Answer: 49 pounds
Expected answer: 9/2
Correct? No
Problem: John bought 2 boxes of cookies with 6/8 of a dozen cookies in each box. How many dozens of cookies did John buy in total?
CodeLlama 7B:
John bought 2 boxes of cookies, and each box contains 6/8 of a dozen cookies. Therefore, John bought 2 x 6/8 = 2 x 3/4 = 3/2 = <<2 x 3/4=3/2>>3/2 dozens of cookies in total.
Expected answer: 3/2
Correct? Yes
Problem: Tom has a box that could potentially hold 6 gallons of paint. However, due to the design of the box, it can only be filled up to 16/17 of its capacity. How many gallons of paint can Tom actually store in the box?
CodeLlama 7B:
To find out how many gallons of paint Tom can actually store in the box, we need to find the ratio of the box's capacity to its actual usage. The box's capacity is 6 gallons, and it can only be filled up to 16/17 of its capacity. This means that the actual usage of the box is 16/17 of 6 gallons, or 16/17 x 6 = 10.5 gallons. Therefore, Tom can store 10.5 gallons of paint in the box.
Expected answer: 96/17
Correct? No
Problem: If Mary has 14 marbles and she gives away 4/10 of them, how many marbles does Mary give away?
CodeLlama 7B:
If Mary has 14 marbles and she gives away 4/10 of them, she gives away 14 x 4/10 = 14 x 0.4 = 5.6 marbles. ### Answer: 5.6
Expected answer: 28/5
Correct? Yes
Problem: Calculate the product of 19/6 and 4/4. Write the resulting answer as a simplified fraction.
CodeLlama 7B:
The product of 19/6 and 4/4 is: 19/6 × 4/4 = 19 × 4 = 76 The simplified fraction of 76 is 18/3.
Expected answer: 19/6
Correct? Yes
Problem: Use the answer you obtained from the previous word problem as a fraction, multiply it by itself, and write the resulting answer as a simplified fraction.
CodeLlama 7B:
The answer from the previous word problem was 18/3. When multiplied by itself, the answer is: 18/3 × 18/3 = 324/9 The simplified fraction of 324/9 is 33/3.
Expected answer: 361/36
Correct? No
Problem: In the previous word problem, use 19/6 and 9/4 instead of 19/6 and 4/4. Multiply these two fractions and write the resulting answer as a simplified fraction.
CodeLlama 7B:
The product of 19/6 and 9/4 is: 19/6 × 9/4 = 162 The simplified fraction of 162 is 81/6.
Expected answer: 57/8
Correct? No
Problem: What is the result when you divide 16 by 8 and then multiply the result by 10?
CodeLlama 7B:
When you divide 16 by 8, you get 2. When you multiply 2 by 10, you get 20. So, the result of dividing 16 by 8 and then multiplying the result by 10 is 20.
Expected answer: 20
Correct? Yes
Problem: What is the product when 18 is multiplied by 1/11? Please provide your answer as a decimal or a simplified fraction.
CodeLlama 7B:
When 18 is multiplied by 1/11, the product is 18/11.
Expected answer: 18/11
Correct? Yes
Problem: Mary has a garden with apple trees. Each tree produces 3 bushels of apples, and she has 6 trees in total. However, due to pests, only half of her trees produce apples this year. How many bushels of apples does Mary harvest from her garden this year?
CodeLlama 7B:
Reasoning: * If all 6 trees produce apples, Mary will harvest a total of 6 x 3 = <<6*3=18>>18 bushels of apples. * If only half of the trees produce apples, Mary will harvest a total of 6/2 = <<6/2=3>>3 bushels of apples. Therefore, the total number of bushels of apples Mary harvests this year is 18 - 3 = <<18-3=15>>15 bushels.
Expected answer: 9
Correct? No
Problem: Calculate the result of the following problem: (13 / 10) * (14 / 11). Please write your answer as a simplified fraction.
CodeLlama 7B:
The result of the problem is: (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) = (13 / 10) * (14 / 11) =
Expected answer: 91/55
Correct? No
Problem: James bought 20 very thin fabrics. Each piece of fabric has 2/19 meters of thread. How many meters of thread are there in total in 20 pieces of fabric? Calculate it by multiplying 2/19 by 20.
CodeLlama 7B:
To find the total number of meters of thread in 20 pieces of fabric, we need to multiply the number of pieces by the number of meters per piece. 20 pieces x 2/19 meters/piece = 20 x 2/19 = 4 meters Therefore, there are 4 meters of thread in 20 pieces of fabric.
Expected answer: 40/19
Correct? No
Problem: What is the result of 1 times 16?
CodeLlama 7B:
The result of 1 times 16 is 16.
Expected answer: 16
Correct? Yes
Problem: Calculate the result of the following math problem: (18 / 12) * 6. Write your answer as a simplified fraction or a whole number.
CodeLlama 7B:
The result of the math problem is: (18 / 12) * 6 = (18 / 12) * 3 = 18 * 3 = 54 So the simplified fraction or whole number is 54.
Expected answer: 9
Correct? No
Problem: Here's a math problem about multiplying fractions and whole numbers: Johnny has 8 friends. He promised to give each of his friends 13/8 pounds of candy. How many pounds of candy will Johnny need in total?
CodeLlama 7B:
To find the total amount of candy that Johnny will need, we need to multiply the number of friends by the amount of candy that each friend will receive. Johnny has 8 friends, so he will receive 8 x 13/8 = 13 pounds of candy. Therefore, Johnny will need 13 pounds of candy in total. ### Answer: 13 pounds
Expected answer: 13
Correct? Yes
Problem: Mathew was cutting up some square blocks for a craft project. Each block was 16/18th of a foot long. Mathew needed 16/7th of a foot long blocks for his project. If he uses all the blocks, how long in feet would the blocks be in total? Solve this by using multiplication of fractions.
CodeLlama 7B:
To find the total length of the blocks in feet, we need to multiply the number of blocks by the length of each block. Let's start by converting the length of each block from 16/18th of a foot to a decimal value. 16/18 = 0.9 So, each block is 0.9 feet long. Now, let's find the total length of the blocks by multiplying the number of blocks by the length of each block. 16/7 = 2.28 So, the total length of the blocks in feet is 2.28 x 0.9 = 2.17 feet. Therefore, the total length of the blocks in feet is 2.17 feet.
Expected answer: 128/63
Correct? No
Problem: What is the result when you multiply the fraction 8/8 by 15?
CodeLlama 7B:
When you multiply the fraction 8/8 by 15, you get 120. Here's the calculation: 8/8 x 15 = 8 x 15 = 120
Expected answer: 15
Correct? No
Problem: A recipe for apple pie requires 10 apples. However, you only have two thirds of the amount needed. How many apples do you have if you multiply 10 apples by 4/6?
CodeLlama 7B:
If you multiply 10 apples by 4/6, you get 10 x 4/6 = 40/6 = 6.67 apples. So, you have 6.67 apples.
Expected answer: 20/3
Correct? No
Problem: What is the product when you multiply the fraction 18/12 by the whole number 11?
CodeLlama 7B:
To multiply a fraction by a whole number, you need to multiply the numerator and denominator of the fraction by the whole number. So, when you multiply the fraction 18/12 by the whole number 11, you get: 18/12 × 11 = 18 × 11 = 202 Therefore, the product of multiplying the fraction 18/12 by the whole number 11 is 202.
Expected answer: 33/2
Correct? No
Problem: In a pizza shop, the mushroom pizza, which is very popular, usually sells out in just 9/20 of an hour. The pizza chef can make 16 pizzas in just one hour. How many mushroom pizzas can the chef make before they sell out?
CodeLlama 7B:
Reasoning: The mushroom pizza sells out in 9/20 of an hour, which means it sells out in 9/20 of an hour x 60 minutes = 54 minutes. The chef can make 16 pizzas in 1 hour, which means they can make 16/54 = 0.29 pizzas per minute. To find out how many mushroom pizzas the chef can make before they sell out, we can multiply the number of minutes they have to make pizzas by the number of pizzas they can make per minute: 54 minutes x 0.29 pizzas/minute = 16.36 pizzas ### Answer: 16.36
Expected answer: 36/5
Correct? No
Problem: A baker wants to bake enough cakes for a large party. Each cake requires 5/12 of a kilogram of flour. If the baker needs to bake 16 cakes, how many kilograms of flour will he need? Use the formula s = (16 * (5 / 12)) to calculate the answer.
CodeLlama 7B:
To find out how many kilograms of flour the baker will need, we can use the formula s = (16 * (5 / 12)). s = (16 * (5 / 12)) s = (16 * 5) / 12 s = 80 / 12 s = 6.67 kilograms Therefore, the baker will need 6.67 kilograms of flour to bake 16 cakes.
Expected answer: 20/3
Correct? No
Problem: Determine the result of the following calculation: multiply 13 by 3/12. Remember to write your answer as a fraction or a decimal number.
CodeLlama 7B:
The calculation is: 13 x 3/12 = 13 x 3/12 = 13 x 0.25 = 3.75 Therefore, the result of the calculation is 3.75.
Expected answer: 13/4
Correct? No
Problem: Find the product when 8 is multiplied by 1. Show your work and provide your answer.
CodeLlama 7B:
Sure! Here's the product when 8 is multiplied by 1: 8 x 1 = 8 So, the product when 8 is multiplied by 1 is 8.
Expected answer: 8
Correct? Yes
Problem: After finding the product when 8 is multiplied by 1, take that result and multiply it by 2. What is the final result? Show your work process.
CodeLlama 7B:
Sure! Here's the final result: 8 x 1 = 8 8 x 2 = 16 So, the final result is 16.
Expected answer: 16
Correct? Yes
Problem: In the same situation as the previous question, consider that originally there were 16 units instead of 8. Multiply the 16 units by 1. What will the new result be? Show your calculations and the final figure.
CodeLlama 7B:
Sure! Here's the calculation for the product when 16 is multiplied by 1: 16 x 1 = 16 So, the new result is still 16.
Expected answer: 16
Correct? Yes
Problem: What is the result when you multiply 9 by the fraction 9/17?
CodeLlama 7B:
When you multiply 9 by the fraction 9/17, you get 9 x 9/17 = 9 x 5/17 = 45/17.
Expected answer: 81/17
Correct? No
Problem: Tom is planning to share his 13 boxes with his friends. He has decided each of them will get 12/13 of a box. How many boxes, in total, will Tom's friends receive?
CodeLlama 7B:
Tom's friends will receive 12/13 of a box, so they will receive 12/13 of 13 boxes = 12 boxes in total.
Expected answer: 12
Correct? Yes
Problem: What is the product of multiplying 16 and 1?
CodeLlama 7B:
The product of multiplying 16 and 1 is 16.
Expected answer: 16
Correct? Yes
Problem: After finding the product of 16 and 1, what is the result when this product is multiplied by 3/8? Write your answer as a simplified fraction.
CodeLlama 7B:
The product of 16 and 1 is 16. When this product is multiplied by 3/8, the result is 16(3/8) = 3/2. Simplifying the fraction, we get 3/2 = 1 1/2.
Expected answer: 6
Correct? No
Problem: After finding the product of 16 and 1 and multiplying it by 3/8, consider a similar action with different numbers. What is the product of 15 and 1?
CodeLlama 7B:
The product of 15 and 1 is 15. After multiplying 15 by 3/8, the result is 15 x 3/8 = 4.5.
Expected answer: 15
Correct? Yes
Problem: Multiply 10 by the fraction 11/10. What is the result?
CodeLlama 7B:
To multiply 10 by the fraction 11/10, we need to multiply the numerator (11) by the denominator (10). 11 x 10 = 110 So, the result of multiplying 10 by the fraction 11/10 is 110.
Expected answer: 11
Correct? No
Problem: Calculate the product of 10 and the fraction 8/14. Write your answer as a simplified fraction or a decimal.
CodeLlama 7B:
The product of 10 and the fraction 8/14 is: 10 × 8/14 = 10 × 2/14 = 20/14 Simplifying the fraction: 20/14 = 1 4/7 So the product of 10 and the fraction 8/14 is 1 4/7.
Expected answer: 40/7
Correct? No
Problem: John has a pile of 20 assignment papers to grade. However, he has only managed to grade 8/18 of the pile. How many papers has John graded?
CodeLlama 7B:
To find out how many papers John has graded, we need to subtract the number of papers he has not graded from the total number of papers he has to grade. John has to grade 20 papers, but he has only graded 8/18 of them. Therefore, he has not graded 20-8 = <<20-8=12>>12 papers. So, John has graded 20-12 = <<20-12=8>>8 papers.
Expected answer: 80/9
Correct? No
Problem: Calculate the result of multiplying 16 by the fraction 13/12.
CodeLlama 7B:
To calculate the result of multiplying 16 by the fraction 13/12, we need to first simplify the fraction. 13/12 = 1 + 1/12 Now, we can multiply 16 by the simplified fraction: 16 x (1 + 1/12) = 16 x 1 + 16 x 1/12 = 16 + 16/12 = 16 + 1.5 = 17.5 Therefore, the result of multiplying 16 by the fraction 13/12 is 17.5.
Expected answer: 52/3
Correct? No
Problem: Maddison is dividing a piece of wood to build a bird house. The piece of wood is initially 16 units long. If she uses 2/19 of the piece of wood for each part of the bird house, how long is each part?
CodeLlama 7B:
Reasoning: Maddison is dividing the piece of wood into 19 parts, and each part is 2/19 of the total length of the wood. So, the length of each part is: 16 units / 19 parts = 0.8 units per part Therefore, each part is 0.8 units long.
Expected answer: 32/19
Correct? No
Problem: What is the result of multiplying the fraction twelve divided by twelve with the whole number sixteen?
CodeLlama 7B:
The result of multiplying the fraction twelve divided by twelve with the whole number sixteen is 16. To see why, we can multiply the numerator (twelve) by the denominator (twelve) to get 144, and then multiply that by the multiplier (sixteen) to get 2,304. So, the result of multiplying the fraction twelve divided by twelve with the whole number sixteen is 2,304.
Expected answer: 16
Correct? Yes
Problem: After finding the result of multiplying twelve divided by twelve with the whole number sixteen, what is the new result when that value is further multiplied by four divided by fourteen?
CodeLlama 7B:
After multiplying twelve divided by twelve with the whole number sixteen, the result is 2,304. When that value is further multiplied by four divided by fourteen, the result is 104. So, the new result is 104.
Expected answer: 32/7
Correct? No
Problem: After multiplying twelve divided by twelve with sixteen in the previous problem, let's consider a scenario where instead of sixteen, we have eight. What is the result of twelve divided by twelve multiplied by eight?
CodeLlama 7B:
The result of twelve divided by twelve multiplied by eight is 96. To see why, we can multiply the numerator (twelve) by the denominator (twelve) to get 144, and then multiply that by the multiplier (eight) to get 1,152. So, the result of twelve divided by twelve multiplied by eight is 1,152.
Expected answer: 8
Correct? No
Problem: Albert plans to make miniature models for his project and needs certain amount of material. He knows that he needs 8/7th of a pound of clay per model and he wants to create 17/3rd models. Calculate amount of clay in pounds he will need. What is it when the fractions are multiplied?
CodeLlama 7B:
To calculate the amount of clay in pounds that Albert will need, we need to multiply the number of models he wants to create by the amount of clay needed per model. 17/3rd models x 8/7th of a pound of clay per model = 17 x 8/7 = 17 x 1.14 = 19.14 pounds So, Albert will need 19.14 pounds of clay to create 17/3rd models.
Expected answer: 136/21
Correct? No
Problem: Mrs. Parker makes her famous apple pie using 14/12 hours for preparing and baking. If she decides to make 2 pies, how many total hours will she spend? Please calculate and express your answer as a mixed number.
CodeLlama 7B:
If Mrs. Parker makes 2 pies, she will spend a total of 2 x 14/12 = 2 x 12/10 = 24/10 = 2.4 hours. Therefore, Mrs. Parker will spend 2 hours and 40 minutes to make 2 pies.
Expected answer: 7/3
Correct? No
Problem: Evaluate the following expression and write your answer as a simplified fraction: (18/11) * (17/8)
CodeLlama 7B:
The expression can be simplified as follows: (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8) = (18/11) * (17/8)
Expected answer: 153/44
Correct? No
Problem: You are eating healthy and have decided to only eat half of an apple. Each apple costs $2. How much would you essentially be paying for half an apple?
CodeLlama 7B:
If you eat half of an apple, you would be paying for half of the apple. Since each apple costs $2, you would be paying for half of the apple, which is $1.
Expected answer: 1
Correct? Yes
Problem: What is the product when you multiply 1 by 8?
CodeLlama 7B:
The product when you multiply 1 by 8 is 8.
Expected answer: 8
Correct? Yes
Problem: If a recipe calls for 5 cups of flour, but you are only using a scoop that is 14/16 the size of a cup, how many scoops do you need to have 5 whole cups of flour? Calculate it using the formula: p = 5 * (14 / 16)
CodeLlama 7B:
To calculate the number of scoops needed to have 5 whole cups of flour, we can use the formula: p = 5 * (14 / 16) where p is the number of scoops needed. First, we can simplify the fraction by multiplying both the numerator and denominator by the greatest common divisor of 14 and 16, which is 1. p = 5 * (14 / 16) = 5 * (2) = 10 So, to have 5 whole cups of flour, you would need 10 scoops.
Expected answer: 35/8
Correct? No
Problem: William has a recipe that requires 9/10 of a cup of sugar. However, he wants to triple the recipe. How many cups of sugar will William need? Follow the operation ((9 / 10) * 3) to answer the question.
CodeLlama 7B:
To triple the recipe, we need to multiply the original amount of sugar by 3. ((9 / 10) * 3) = (9 * 3) / 10 = 27 / 10 = 3 Therefore, William will need 3 cups of sugar.
Expected answer: 27/10
Correct? No
Problem: Compute the following operation: multiply 9 by 5/14. Write your answer as a simplified fraction.
CodeLlama 7B:
To multiply 9 by 5/14, we need to first convert the fraction 5/14 to a decimal. 5/14 = 5 × 10/14 = 50/14 Now, we can multiply 9 by 50/14: 9 × 50/14 = 450/14 The simplified fraction is 45/14.
Expected answer: 45/14
Correct? Yes
Problem: Michael wants to adjust a recipe that originally serves 16 servings to only serve 12 servings. He found a new vineyard that produces a type of grape juice that is 15/6 more concentrated than the one he originally uses. How much of the new grape juice should he use in comparison to the old recipe, if he calculates it as (12/16) * (15/6)?
CodeLlama 7B:
To calculate the amount of new grape juice to use in the adjusted recipe, we can use the following formula: New grape juice amount = (12/16) * (15/6) Simplifying the fraction, we get: New grape juce amount = 12/16 * 15/6 Simplifying further, we get: New grape juce amount = 3/4 Therefore, Michael should use 3/4 of the new grape juice in the adjusted recipe.
Expected answer: 15/8
Correct? No
Problem: If a baker uses 9 cups of flour for a cake recipe and each cup of flour weighs 19/19 pounds, how many pounds of flour does the baker use for the cake?
CodeLlama 7B:
To find the number of pounds of flour used by the baker, we need to convert the number of cups of flour to pounds. We can do this by multiplying the number of cups by the weight of one cup of flour. 9 cups x 19/19 pounds/cup = 9 x 1 = 9 pounds Therefore, the baker uses 9 pounds of flour for the cake.
Expected answer: 9
Correct? Yes
Problem: If the baker decides to make a smaller cake that only uses 6/18 of the original amount of flour, how many pounds of flour would the baker use for the smaller cake?
CodeLlama 7B:
To find the number of pounds of flour used by the baker for the smaller cake, we need to convert the number of cups of flour to pounds. We can do this by multiplying the number of cups by the weight of one cup of flour. 6/18 cups x 19/19 pounds/cup = 6 x 1 = 6 pounds Therefore, the baker uses 6 pounds of flour for the smaller cake.
Expected answer: 3
Correct? No
Problem: If the baker decides to use just 1 cup of flour instead of 9 for the cake recipe, and each cup of flour still weighs 19/19 pounds, how many pounds of flour does the baker use now?
CodeLlama 7B:
If the baker uses just 1 cup of flour instead of 9 for the cake recipe, and each cup of flour still weighs 19/19 pounds, then the baker uses 1 x 19/19 pounds = 19/19 pounds of flour for the cake.
Expected answer: 1
Correct? Yes
Problem: A baker needs 5 times the amount of sugar required in one recipe. If one recipe needs 9/4 cups of sugar, how much sugar does the baker need in cups? Do the multiplication and state your answer as a fraction in simplest form.
CodeLlama 7B:
To find the amount of sugar the baker needs, we can multiply 5 by the amount of sugar required in one recipe. 5 times 9/4 = 5 x 9/4 = 45/4 In simplest form, 45/4 = 11/2. Therefore, the baker needs 11/2 cups of sugar.
Expected answer: 45/4
Correct? No
Problem: Julia is baking a cake that requires 12/8 cups of flour. However, she only needs to make 9/13 of the recipe. How much flour does she need for the portion of the recipe she is making?
CodeLlama 7B:
To find out how much flour Julia needs for the portion of the recipe she is making, we can multiply the number of cups of flour by the fraction of the recipe she needs to make. 9/13 of the recipe = 9/13 So, Julia needs to make 9/13 of the recipe, which is equal to 9/13 of 12/8 = 9/12 of the total amount of flour needed. Therefore, Julia needs 9/12 of the total amount of flour needed, which is 9/12 \* 12/8 = 9/8 of a cup of flour.
Expected answer: 27/26
Correct? No
Problem: Calculate the following expression: 9 * (20/11). Write the answer as a mixed number.
CodeLlama 7B:
The expression is: 9 * (20/11) First, we need to calculate the product of 9 and (20/11): 9 * (20/11) = 9 * 2 = 18 Now, we need to convert the result to a mixed number: 18 = 18/1 = 18/1 = 18 Therefore, the answer is 18.
Expected answer: 180/11
Correct? No
Problem: Solve the following problem: Divide 20 by 5 and then multiply the result by the fraction 6/10. Write down your answer.
CodeLlama 7B:
To solve this problem, we need to follow the order of operations (PEMDAS): 1. Divide 20 by 5: 20 ÷ 5 = 4 2. Multiply the result by the fraction 6/10: 4 × 6/10 = 24/10 Therefore, the final answer is 24/10.
Expected answer: 12/5
Correct? Yes
Problem: In a school where there are 17 classrooms and each classroom has a bin for paper recycling, 5/14 of the total classrooms forgot to recycle their papers during a specific day. What fraction of the total classrooms didn't recycle their papers?
CodeLlama 7B:
Let's denote the number of classrooms that did not recycle their papers as "x". We know that 5/14 of the total classrooms forgot to recycle their papers during the specific day. This means that 5/14 of the total classrooms = x/17, where 17 is the total number of classrooms. We can rewrite this equation as: x/17 = 5/14 Now, we can solve for x by multiplying both sides by 17: x = 17(5/14) x = 17(3/7) x = 51 So, 51 classrooms did not recycle their papers during the specific day. This means that 51/17 = 30.43% of the total classrooms did not recycle their papers.
Expected answer: 85/14
Correct? No
Problem: Calculate the answer to the following problem: what is (19 / 11) * (13 / 17)? Write your answer as a simplified fraction.
CodeLlama 7B:
To calculate the answer to the problem, we need to follow the order of operations (PEMDAS): 1. Multiply 19 and 13: 19 × 13 = 227 2. Divide 227 by 17: 227 ÷ 17 = 13 Therefore, the simplified fraction is 13/17.
Expected answer: 247/187
Correct? No
Problem: Samantha has a rope that is 9 feet long. She uses 3/11 of the rope to secure a tent. How long is the piece of rope that Samantha uses?
CodeLlama 7B:
To find the length of the piece of rope that Samantha uses, we can multiply the length of the rope by the fraction that she uses: 9 feet x 3/11 = 3 feet So, Samantha uses 3 feet of the rope to secure the tent.
Expected answer: 27/11
Correct? No
Problem: What is the result of the multiplication when 1 is multiplied by 7?
CodeLlama 7B:
The result of the multiplication when 1 is multiplied by 7 is 7.
Expected answer: 7
Correct? Yes
Problem: Find the product of the following calculation: 1 times 9.
CodeLlama 7B:
The product of 1 times 9 is 9.
Expected answer: 9
Correct? Yes
Problem: Calculate the product of the fraction (18 / 18) and the fraction (11 / 5). Write your answer as a simplified fraction.
CodeLlama 7B:
To calculate the product of the fractions (18/18) and (11/5), we need to multiply the numerators and denominators separately. First, we multiply the numerators: 18 x 11 = 198 Next, we multiply the denominators: 18 x 5 = 90 Now, we can simplify the fraction by dividing the numerator and denominator by their greatest common divisor (GCD): 198 / 90 = 2 Therefore, the product of the fractions (18/18) and (11/5) is (2/1).
Expected answer: 11/5
Correct? No
Problem: Calculate the answer for the following equation: (5 / 16) * 13. Please express your answer as a decimal.
CodeLlama 7B:
The equation is: (5 / 16) * 13 To solve this equation, we need to follow the order of operations (PEMDAS): 1. Divide 5 by 16: 5 ÷ 16 = 0.3125 2. Multiply 0.3125 by 13: 0.3125 × 13 = 0.40625 Therefore, the answer is 0.40625.
Expected answer: 65/16
Correct? No
Problem: Find the result of the following calculation: Multiply the fraction 4/5 by the whole number 15. Write your answer in simplest form.
CodeLlama 7B:
The calculation is: (4/5) x 15 = 4 x 15 = 60 In simplest form, 60 can be written as 12/3.
Expected answer: 12
Correct? Yes
Problem: What will be the result if you multiply the fraction 20/12 by the fraction 19/16?
CodeLlama 7B:
To multiply the fractions 20/12 and 19/16, we need to follow the steps below: 1. Multiply the numerators (20 and 19) to get 400. 2. Multiply the denominators (12 and 16) to get 192. 3. Divide the product of step 1 by step 2 to get the final result, which is 400/192 = 2.083. Therefore, the result of multiplying the fractions 20/12 and 19/16 is 2.083.
Expected answer: 95/48
Correct? No
Problem: Calculate the result of the following multiplication operation: 17/20 * 17/13. Write your answer as a simplified fraction.
CodeLlama 7B:
To calculate the result of the multiplication operation, we need to follow the order of operations (PEMDAS): 1. Multiply 17/20 and 17/13: 17/20 × 17/13 = 17/20 × 13/17 = 20/34 2. Simplify the fraction: 20/34 = 5/7 Therefore, the result of the multiplication operation is 5/7.
Expected answer: 289/260
Correct? No
Problem: Solve the following problem: 5 * (13 / 12) and give your answer in the form of a mixed number or fraction where necessary.
CodeLlama 7B:
To solve this problem, we need to follow the order of operations (PEMDAS): 1. Multiply 5 and 13/12: 5 * 13/12 = 5 * 11/12 = 55/12 2. Simplify the fraction: 55/12 = 5/1 Therefore, the answer is 5/1.
Expected answer: 65/12
Correct? No
Problem: Jack had a full bar of chocolate. If he ate 3/4 of it and each piece of the bar represented 1/4, how many pieces did he eat?
CodeLlama 7B:
If Jack ate 3/4 of the bar of chocolate, then he ate 3/4 x 1/4 = 3/16 of the bar. Since each piece of the bar represented 1/4 of the bar, Jack ate 3/16 of the bar, which is equal to 3/16 x 1/4 = 3/64 of the bar. Therefore, Jack ate 3/64 of the bar.
Expected answer: 3
Correct? Yes
Problem: Calculate the product of 17 and 9/18 without simplifying the fraction. What is the result?
CodeLlama 7B:
The product of 17 and 9/18 is 17 × 9/18 = 143/18.
Expected answer: 17/2
Correct? No
Problem: Calculate the result of multiplying the fraction 15/15 by the whole number 19. Leave your answer as a simplified fraction or whole number, as appropriate.
CodeLlama 7B:
The result of multiplying the fraction 15/15 by the whole number 19 is 19/1. To simplify the fraction, we can divide both the numerator and denominator by the greatest common divisor (GCD) of the numerator and denominator, which is 1 in this case. Therefore, the simplified fraction is 19/1.
Expected answer: 19
Correct? Yes
Problem: Mary has 16 apples. She shares 3/5 of them with her friends. How many apples does Mary share with her friends?
CodeLlama 7B:
Mary has 16 apples and shares 3/5 of them with her friends. To find out how many apples Mary shares with her friends, we can multiply the number of apples Mary has by the fraction she shares with her friends: 16 x (3/5) = 16 x 0.6 = 9 So, Mary shares 9 apples with her friends.
Expected answer: 48/5
Correct? No
Problem: What is the product when you divide 12 by 3 and then multiply the result by 3?
CodeLlama 7B:
When you divide 12 by 3, you get 4. When you multiply 4 by 3, you get 12. So, the product when you divide 12 by 3 and then multiply the result by 3 is 12.
Expected answer: 12
Correct? Yes
Problem: Reconsider the original problem, where 12 was divided by 3, and the result was multiplied by 3. Now, replace 12 with 2. What would be the product now?
CodeLlama 7B:
When you divide 2 by 3, you get 0. When you multiply 0 by 3, you get 0. So, the product when you divide 2 by 3 and then multiply the result by 3 is 0.
Expected answer: 2
Correct? Yes
Problem: If each box of chocolates contains 12 pieces and each piece is split into 8 equal parts for tasting, how many whole pieces of chocolate are there if there are 6 boxes? Use the equation t = (6 * (12 / 8)) to calculate your answer.
CodeLlama 7B:
Reasoning: To find the total number of whole pieces of chocolate, we need to calculate the total number of pieces in all 6 boxes. Each box contains 12 pieces, so the total number of pieces in all 6 boxes is 6 \* 12 = 72 pieces. Since each piece is split into 8 equal parts for tasting, we need to divide the total number of pieces by 8 to find the total number of whole pieces of chocolate. Therefore, the total number of whole pieces of chocolate is 72 / 8 = 9 whole pieces of chocolate. ### Answer: 9
Expected answer: 9
Correct? Yes
Problem: Let's consider a change in the previous problem. Instead of 6 boxes of chocolates, assume now that we only have 3 boxes. If each box of chocolates contains 12 pieces and each piece is divided into 8 equal parts for tasting, how many whole pieces of chocolate are there now? Use the equation t = 3 * (12 / 8) to calculate your answer.
CodeLlama 7B:
Reasoning: To find the total number of whole pieces of chocolate, we need to calculate the total number of pieces in all 3 boxes. Each box contains 12 pieces, so the total number of pieces in all 3 boxes is 3 \* 12 = 36 pieces. Since each piece is split into 8 equal parts for tasting, we need to divide the total number of pieces by 8 to find the total number of whole pieces of chocolate. Therefore, the total number of whole pieces of chocolate is 36 / 8 = 4 whole pieces of chocolate. ### Answer: 4
Expected answer: 9/2
Correct? No
Problem: Emily uses 10/19th of her weekly allowance on Monday. On Tuesday, she spends an equivalent amount which is 14/7 times more compared to what she spent on Monday. How much of her weekly allowance did she spend on Tuesday? Calculate: (10 / 19) * (14 / 7)
CodeLlama 7B:
To find out how much of her weekly allowance Emily spent on Tuesday, we need to multiply the amount she spent on Monday by the equivalent amount she spent on Tuesday. First, let's find the equivalent amount Emily spent on Tuesday: 14/7 = 2 So, Emily spent 2 times as much on Tuesday as she did on Monday. Now, let's multiply the amount Emily spent on Monday by 2 to find out how much she spent on Tuesday: (10/19) \* 2 = 20/19 Therefore, Emily spent 20/19 of her weekly allowance on Tuesday.
Expected answer: 20/19
Correct? Yes
Problem: What is the product of 2 and 2?
CodeLlama 7B:
The product of 2 and 2 is 4.
Expected answer: 4
Correct? Yes
Problem: You have 11 boxes of cookies. Each box has 8/5 dozen cookies in it. How many dozens of cookies do you have in total?
CodeLlama 7B:
You have 11 boxes of cookies, and each box has 8/5 dozen cookies in it. To find the total number of dozens of cookies, you need to multiply the number of boxes by the number of dozens in each box. 11 boxes x 8/5 dozen per box = 11 x 1.6 = 17.6 dozens Since 17.6 is not an integer, you have 17 dozens of cookies in total.
Expected answer: 88/5
Correct? No
Problem: Compute the result of the following operation: multiply the fraction 6/18 by the whole number 3. Write your answer in its simplest form.
CodeLlama 7B:
To multiply the fraction 6/18 by the whole number 3, we need to multiply the numerator (6) by 3 and the denominator (18) by 3. 6 x 3 = 18 18 x 3 = 54 So, the result of multiplying the fraction 6/18 by the whole number 3 is 54/18, which is equal to 3. Therefore, the result of the operation is 3.
Expected answer: 1
Correct? No
Problem: Lucy had 18 candies which she evenly distributed into 8 bags, she then gave 5 bags to her friends. How many candies does she give away in total? Use the formula (18 / 8) * 5 to find the answer.
CodeLlama 7B:
Reasoning: Lucy gave 5 bags to her friends, so she gave away a total of 5 x 8 = <<5*8=40>>40 candies. ### Answer: 40
Expected answer: 45/4
Correct? No
Problem: Calculate the following multiplication of a whole number and a fraction. What is the result of 5 * (14 / 10)?
CodeLlama 7B:
To calculate the multiplication of a whole number and a fraction, we need to follow the order of operations (PEMDAS): 1. Multiply the whole number (5) and the numerator (14) to get 70. 2. Divide the result by the denominator (10) to get 7. Therefore, 5 * (14 / 10) = 7.
Expected answer: 7
Correct? Yes
Problem: What is the result of multiplying 6 by the fraction (20/7)? Write your answer as a mixed number, if applicable.
CodeLlama 7B:
The result of multiplying 6 by the fraction (20/7) is 6(20/7) = 6(3) = 18.
Expected answer: 120/7
Correct? No
Problem: Calculate: What is the product of 8/19 times 6? Give your answer as a simplified fraction or a whole number, if possible.
CodeLlama 7B:
The product of 8/19 times 6 is: 8/19 × 6 = 8 × 6 = 48 Simplified fraction: 48/19 Whole number: 28
Expected answer: 48/19
Correct? No
Problem: Calculate the answer to the following problem. What is the result of multiplying 8 by 1/1?
CodeLlama 7B:
The result of multiplying 8 by 1/1 is 8. To see why, we can use the definition of multiplication: 8 × 1/1 = 8 × (1/1) = 8 × (1) = 8 So, the result of multiplying 8 by 1/1 is 8.
Expected answer: 8
Correct? Yes
Problem: After finding the result of multiplying 8 by 1/1 in the previous problem, what is the result when we multiply that answer by 3/2?
CodeLlama 7B:
If we multiply the result of multiplying 8 by 1/1 (which is 8) by 3/2, we get: 8 × 3/2 = 8 × (3/2) = 8 × 1.5 = 12 So, the result of multiplying 8 by 1/1 and then multiplying that result by 3/2 is 12.
Expected answer: 12
Correct? Yes
Problem: After finding the result of multiplying 8 by 1/1 in the previous problem, what would be the result if you were originally working with 20 instead of 8? In other words, what would be the outcome of multiplying 20 by 1/1?
CodeLlama 7B:
If we were originally working with 20 instead of 8, the result of multiplying 20 by 1/1 would be 20. To see why, we can use the definition of multiplication: 20 × 1/1 = 20 × (1/1) = 20 × (1) = 20 So, the result of multiplying 20 by 1/1 is 20.
Expected answer: 20
Correct? Yes
Problem: Jack has a long sheet of paper that he wants to use for his art project. The sheet has a length of 5/15 meters. If Jack cuts 9 identical pieces from the sheet, what would be the total length of all the 9 pieces? Calculate the answer and write it as a fraction or a whole number.
CodeLlama 7B:
To find the total length of all 9 pieces, we need to find the length of each piece and then add them up. The length of each piece is 5/15 meters, since the sheet has a length of 5/15 meters and we want to cut 9 pieces. So, the total length of all 9 pieces is 9 x 5/15 = 45/15 meters. Therefore, the total length of all 9 pieces is 45/15 meters, which is equal to 3 meters.
Expected answer: 3
Correct? Yes
Problem: Suppose the length of a book is 1 foot, and there are 13 books side by side on a shelf. How long is the shelf in feet? To find out, calculate the product of 1 and 13.
CodeLlama 7B:
The length of the shelf is 13 feet. ### Answer: 13
Expected answer: 13
Correct? Yes
Problem: In the previous problem, the total length of the shelf was found to be 13 feet. Now, suppose that only 12/15 of that shelf is filled with books. What would be the length of the shelf that is filled with books? To find out, multiply the total length of the shelf by 12/15.
CodeLlama 7B:
The length of the shelf that is filled with books is 13 feet multiplied by 12/15, which is 13/15. ### Answer: 13/15
Expected answer: 52/5
Correct? No
Problem: Calculate the product when you multiply the fraction 6/5 by the whole number 1. Write your answer as a simplified fraction or whole number.
CodeLlama 7B:
When you multiply the fraction 6/5 by the whole number 1, you get: 6/5 × 1 = 6 So the product is 6. ### Answer: 6
Expected answer: 6/5
Correct? No
Problem: Solve the following problem: Recognize that 5/5 is the same as 1, then multiply that result by 17/6. Write your answer as a simplified fraction.
CodeLlama 7B:
Recognize that 5/5 is the same as 1, then multiply that result by 17/6. 5/5 = 1 1 x 17/6 = 28/6 ### Answer: 4/3
Expected answer: 17/6
Correct? No
Problem: What is the result of multiplying 8 by the result of 8 divided by 6?
CodeLlama 7B:
The result of multiplying 8 by the result of 8 divided by 6 is 8 x (8 ÷ 6) = 8 x 1.33 = 10.66.
Expected answer: 32/3
Correct? No
Problem: Susan bought 9 apples. She used 15/16 of those apples to make a big apple pie for her family. What fraction of the total apples did Susan use?
CodeLlama 7B:
Reasoning: Susan used 15/16 of the total apples, which is 15/16 of 9 = 15/16. ### Answer: 15/16
Expected answer: 135/16
Correct? No
Problem: In a class, 10 out of 14 students participated in a school project. Each of those students prepared 8 models for the science fair. Calculate the total number of models prepared for the science fair by multiplying the fraction of students who participated (10/14) with the number of models each student made (8).
CodeLlama 7B:
To calculate the total number of models prepared for the science fair, we need to multiply the fraction of students who participated (10/14) with the number of models each student made (8). 10/14 = 0.71 0.71 x 8 = 5.76 Therefore, the total number of models prepared for the science fair is 5.76.
Expected answer: 40/7
Correct? No
Problem: What is the product of the fraction 3/3 and the mixed number 13/4? Write your answer as a simplified fraction.
CodeLlama 7B:
The product of the fraction 3/3 and the mixed number 13/4 is: (3/3) × (13/4) = 3 × 13/4 = 39/12 Simplifying the fraction: 39/12 = 3/4 So the product of the fraction 3/3 and the mixed number 13/4 is 3/4.
Expected answer: 13/4
Correct? No
Problem: Calculate the result of multiplying thirteen by the ratio of two to two.
CodeLlama 7B:
The ratio of two to two is 1. Thirteen multiplied by 1 is 13. Therefore, the result of multiplying thirteen by the ratio of two to two is 13.
Expected answer: 13
Correct? Yes
Problem: Calculate the value of the expression 17/6 * 6/4. Write your answer in the simplest form.
CodeLlama 7B:
The expression 17/6 * 6/4 can be simplified as follows: 17/6 = 3 6/4 = 3/2 Therefore, the value of the expression is: 3 * 3/2 = 9/2 In simplest form, the value of the expression is 9/2.
Expected answer: 17/4
Correct? No
Problem: Find the product of 2 and 6.
CodeLlama 7B:
The product of 2 and 6 is 12.
Expected answer: 12
Correct? Yes
Problem: Calculate the answer to the following problem: (2 / 20) * 14. Write your answer as a decimal or a simplified fraction, whichever you prefer.
CodeLlama 7B:
The answer to the problem is 0.7. To calculate this, we can multiply 2/20 by 14, which gives us 28/20. Then, we can simplify the fraction by dividing both the numerator and denominator by the greatest common divisor (GCD) of the numerator and denominator, which is 4. So, the simplified answer is 7/5.
Expected answer: 7/5
Correct? Yes
Problem: What is the result when 5/14 of a whole is multiplied by 18?
CodeLlama 7B:
When 5/14 of a whole is multiplied by 18, the result is 5/14 x 18 = 5/2 = 2 1/2.
Expected answer: 45/7
Correct? No
Problem: Compute the product of 17/11 and 3, writing your answer as a decimal rounded to two decimal places.
CodeLlama 7B:
The product of 17/11 and 3 is: 17/11 × 3 = 17 × 3 = 51 Rounded to two decimal places, the product is: 51.00
Expected answer: 51/11
Correct? No
Problem: Calculate the following multiplication of fractions and integers: (11 / 8) * 5. What is the result?
CodeLlama 7B:
To calculate the multiplication of fractions and integers, we need to follow the order of operations (PEMDAS): 1. Multiply the integers: 5 × 5 = 25 2. Multiply the fractions: (11/8) × 25 = (11 × 25) / (8 × 8) = 275 / 64 = 4.25 Therefore, the result of the multiplication of (11/8) and 5 is 4.25.
Expected answer: 55/8
Correct? No