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 34B:
To multiply two fractions, we need to follow the order of operations. First, we multiply the numerators (the numbers on top) and then multiply the denominators (the numbers on the bottom). 8/9 ร 19/3 = (8 ร 19) / (9 ร 3) = 152 / 27 = 54 / 9 Therefore, the product of 8/9 and 19/3 is 54/9.
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 34B:
To find the usable part of each section of rope, we need to multiply the length of each section by the fraction of the section that can be used. The length of each section is 13/2 feet, and the fraction of the section that can be used is 5/7. So, to find the usable part of each section of rope, we can multiply 13/2 by 5/7: 13/2 ร 5/7 = 65/14 Therefore, the usable part of each section of rope is 65/14 feet.
Expected answer: 65/14
Correct? Yes
Problem: What is the result when you multiply the whole number 12 by 1?
CodeLlama 34B:
The result when you multiply the whole number 12 by 1 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 34B:
If you take the product of 12 and 1, you get 12. If you then multiply that result by the fraction 7/16, you get 12 x 7/16 = 84/16 = 5.25. So, the final result would be 5.25.
Expected answer: 21/4
Correct? Yes
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 34B:
The result when you multiply the whole number 11 by 1 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 34B:
To perform the multiplication operation on fractions and whole numbers, we need to follow the correct order of operations. First, we need to perform the multiplication operation on the fractions. 14/15 * 12/4 = 14/15 * 3 = 42/15 Next, we need to simplify the fraction by dividing both the numerator and the denominator by the greatest common divisor (GCD) of the numerator and denominator. GCD(42, 15) = 3 So, we can simplify the fraction by dividing both the numerator and the denominator by 3: 42/15 = 14/5 Therefore, the answer is 14/5.
Expected answer: 14/5
Correct? Yes
Problem: Compute the value for the following expression: 15 * (5 / 17). Write your answer as a decimal rounded to the nearest hundredth.
CodeLlama 34B:
To compute the value of the expression 15 * (5 / 17), we need to follow the order of operations (PEMDAS): 1. Divide 5 by 17: 5 รท 17 = 0.2941 2. Multiply 15 by 0.2941: 15 ร 0.2941 = 4.357 So, the value of the expression 15 * (5 / 17) is 4.357, rounded to the nearest hundredth.
Expected answer: 75/17
Correct? No
Problem: Find the result of the following calculation: 16 * (12 / 19)
CodeLlama 34B:
To calculate 16 * (12 / 19), we need to follow the order of operations (PEMDAS): 1. Divide 12 by 19: 12 รท 19 = 0.631578947368421 2. Multiply 16 by the result of the division: 16 ร 0.631578947368421 = 10.18362745098039 Therefore, the result of the calculation is 10.18362745098039.
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 34B:
To calculate the total number of barrels of apples the farmer will have, we need to multiply the number of barrels he has by the number of barrels he is multiplying by. The farmer has 10/17 of a barrel of apples, which can be simplified to 10/17. The farmer is multiplying by 18/5 barrels, which can be simplified to 6. So, the total number of barrels of apples the farmer will have is: 10/17 x 6 = 60/17 This can be simplified to 3 11/17 barrels.
Expected answer: 36/17
Correct? No
Problem: Simplify the expression: (20 / 4) * (1 / 5). What is the result?
CodeLlama 34B:
To simplify the expression, we can start by multiplying the numerator and denominator of the first fraction by the same number to eliminate the fraction. In this case, we can multiply both the numerator and denominator of (20/4) by 4 to get 80/4 = 20. Then, we can multiply 20 by (1/5) to get 20/5 = 4. So, the result of the expression (20/4) * (1/5) is 4. ### Answer: 4
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 34B:
Reasoning: Julia has 11 boxes and she decides to fill 8/11 of each box with apples. This means that she fills 8/11 of the total capacity of each box. The total capacity of each box is 1 bushel. Therefore, the total capacity of all 11 boxes is 11 bushels. Julia fills 8/11 of the total capacity of each box, which is 8/11 \* 11 = <<8/11*11=9>>9 bushels of apples in total. ### Answer: 9
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 34B:
To find the total amount of sugar the baker will use, we need to multiply the fractions of sugar used for the cake and the cookies. Let's start by converting the fractions to decimals: 9/4 = 2.25 16/15 = 1.067 Now, we can multiply the decimals to get the total amount of sugar the baker will use: 2.25 x 1.067 = 2.45 So, the baker will use 2.45 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 34B:
To find the total number of cups of ingredients needed, we need to add the amounts of flour and sugar together. 19/9 + 14/18 = 23/9 So, Peter needed 23/9 cups of ingredients in total.
Expected answer: 133/81
Correct? No
Problem: What is the result when you multiply the fractions 14/7 and 16/4?
CodeLlama 34B:
To multiply fractions, you need to have the same denominator. In this case, we can convert both fractions to have the same denominator of 28 by multiplying the numerator and denominator of each fraction by 2. 14/7 = 28/14 16/4 = 28/8 Now we can multiply the fractions: 28/14 ร 28/8 = 784/112 So the result when you multiply the fractions 14/7 and 16/4 is 784/112.
Expected answer: 8
Correct? No
Problem: Calculate the result of (17 / 18) multiplied by (13 / 8). Write the answer as a simplified fraction.
CodeLlama 34B:
To calculate the result of (17 / 18) multiplied by (13 / 8), we need to follow the order of operations (PEMDAS): 1. Multiply the two fractions: (17 / 18) ร (13 / 8) = (17 ร 13) / (18 ร 8) 2. Simplify the fraction: (221 / 144) = 11/12 Therefore, the result of (17 / 18) multiplied by (13 / 8) is 11/12.
Expected answer: 221/144
Correct? No
Problem: Evaluate the following expression: ((15 / 15) * 18) and write your answer.
CodeLlama 34B:
The expression ((15 / 15) * 18) can be evaluated as follows: 1. (15 / 15) = 1 2. (1 * 18) = 18 Therefore, the final 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 34B:
To determine how many pizzas the group should order, we need to calculate the total number of slices of pizza that the students will eat. Let's start by converting the fraction 17/20 to a decimal. 17/20 = 0.85 Now, we can multiply the decimal by the number of students to get the total number of slices of pizza that the students will eat. 0.85 x 18 = 15.3 So, the students will eat a total of 15.3 slices of pizza. To determine how many pizzas the group should order, we need to divide the total number of slices by the number of slices per pizza. Let's assume that each pizza has 8 slices. 15.3 รท 8 = 1.91 Since we can't order a fraction of a pizza, we'll round up to the nearest whole number. 1.91 โ 2 Therefore, the group should order 2 pizzas.
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 34B:
To find out how many pounds of apples Sophie used in total, we need to multiply the number of pies she made by the amount of apples required for each pie. We know that each pie requires about 1/14 of the total apples Sophie picked, so we can write this as: (9/14) * 7 To simplify this fraction, we can multiply the numerator and denominator by the same number. In this case, we can multiply both by 7: (9/14) * 7 = (63/98) Since the result is a fraction, we can simplify it further by dividing both the numerator and denominator by the greatest common divisor (GCD) of the two numbers. In this case, the GCD of 63 and 98 is 3, so we can divide both numbers by 3: (63/98) = (21/32) Therefore, Sophie used 21 pounds of apples in total to make her 7 apple pies.
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 34B:
John bought 2 boxes of cookies, each with 6/8 of a dozen cookies. To find the total number of dozens of cookies John bought, we need to find the total number of cookies he bought and then divide that number by 12. Let's first find the total number of cookies John bought. We can do this by multiplying the number of cookies in each box by the number of boxes he bought: 2 boxes x 6/8 of a dozen = 2 x 6/8 = 3/4 of a dozen So, John bought 3/4 of a dozen cookies. To find the total number of dozens of cookies he bought, we can divide the number of cookies he bought by 12: 3/4 of a dozen / 12 = 3/4 x 12 = 9/4 = 2 1/4 dozens Therefore, John bought 2 1/4 dozens of cookies.
Expected answer: 3/2
Correct? No
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 34B:
To find out how many gallons of paint Tom can actually store in the box, we need to find the maximum capacity of the box, which is 6 gallons, and then subtract the amount that is lost due to the design of the box. The design of the box allows it to be filled up to 16/17 of its capacity, which means that 1/17 of the box is lost. To find the amount that is lost, we can multiply the capacity of the box by the fraction that is lost: 6 gallons x 1/17 = 0.35 gallons So, 0.35 gallons of paint are lost due to the design of the box. To find the actual capacity of the box, we need to subtract the amount that is lost from the maximum capacity: 6 gallons - 0.35 gallons = 5.65 gallons Therefore, Tom can actually store 5.65 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 34B:
If Mary has 14 marbles and she gives away 4/10 of them, she gives away 4/10 \* 14 = <<4/10*14=5.6>>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 34B:
To calculate the product of 19/6 and 4/4, we need to multiply the numerators (19 and 4) and multiply the denominators (6 and 4). 19/6 x 4/4 = (19 x 4) / (6 x 4) = 76 / 24 The resulting answer is 76/24, which can be simplified to 19/6. Therefore, the product of 19/6 and 4/4 is 19/6.
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 34B:
The answer obtained from the previous word problem is 19/6. To multiply 19/6 by itself, we need to multiply the numerator (19) by the numerator (19) and multiply the denominator (6) by the denominator (6). 19/6 x 19/6 = (19 x 19) / (6 x 6) = 361 / 36 The resulting answer is 361/36, which can be simplified to 10/3. Therefore, the product of 19/6 and 19/6 is 10/3.
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 34B:
To multiply 19/6 and 9/4, we need to multiply the numerators (19 and 9) and multiply the denominators (6 and 4). 19/6 x 9/4 = (19 x 9) / (6 x 4) = 171 / 24 The resulting answer is 171/24, which can be simplified to 19/2. Therefore, the product of 19/6 and 9/4 is 19/2.
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 34B:
When you divide 16 by 8, you get 2. Then, when you multiply 2 by 10, you get 20. ### Answer: 20
Expected answer: 20
Correct? Yes
Problem: Using the result you obtained from the previous question, what is the outcome when you multiply it by 1/17?
CodeLlama 34B:
When you multiply 20 by 1/17, you get 20/17. ### Answer: 20/17
Expected answer: 20/17
Correct? Yes
Problem: What would the result have been in the original problem if you had divided 16 by 10 instead of 8 before multiplying by 10?
CodeLlama 34B:
If you had divided 16 by 10 instead of 8 before multiplying by 10, you would have gotten a different result. 16 รท 10 = 1.6 Then, if you multiply 1.6 by 10, you get 16. So, the result would have been 16. ### Answer: 16
Expected answer: 16
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 34B:
The product of 18 and 1/11 is 18/11. In decimal form, this is 18/11 = 1.636364. In simplified fraction form, this is 18/11 = 1 7/11.
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 34B:
Mary has 6 apple trees in total, and each tree produces 3 bushels of apples. However, due to pests, only half of her trees produce apples this year. This means that only 3 of her 6 trees produce apples. So, the total number of bushels of apples that Mary harvests from her garden this year is: 3 trees x 3 bushels per tree = 9 bushels Therefore, Mary harvests 9 bushels of apples from her garden this year.
Expected answer: 9
Correct? Yes
Problem: Calculate the result of the following problem: (13 / 10) * (14 / 11). Please write your answer as a simplified fraction.
CodeLlama 34B:
To calculate the result of the problem, we need to follow the order of operations (PEMDAS): 1. Divide 13 by 10: 13 รท 10 = 1.3 2. Divide 14 by 11: 14 รท 11 = 1.2727... 3. Multiply the results: 1.3 ร 1.2727... = 1.6493... Therefore, the result of the problem is 1.6493... To simplify the fraction, we can divide both the numerator and the denominator by the greatest common divisor (GCD) of the numerator and denominator, which is 3 in this case: 1.6493... รท 3 = 0.5497... Therefore, the simplified fraction is 0.5497... ### Answer: 0.5497...
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 34B:
To find the total number of meters of thread in 20 pieces of fabric, we need to multiply the number of meters of thread in each piece by 20. 2/19 = 0.10526315789473684210526315789474 Therefore, the total number of meters of thread in 20 pieces of fabric is: 0.10526315789473684210526315789474 x 20 = 2.1045263157894736842105263157895 So, there are 2.1045263157894736842105263157895 meters of thread in total in 20 pieces of fabric.
Expected answer: 40/19
Correct? No
Problem: What is the result of 1 times 16?
CodeLlama 34B:
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 34B:
(18 / 12) * 6 = (18 / 12) * (3 * 2) = (18 / 12) * 6 = 18 * 6 / 12 = 18 * 3 = 54. Therefore, the result of the math problem 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 34B:
To find out how many pounds of candy Johnny will need in total, we need to multiply the number of friends he has by the number of pounds of candy he promised to give each friend. 8 friends x 13/8 pounds per friend = 104/8 pounds of candy So Johnny will need 104/8 = 13 pounds of candy in total.
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 34B:
To find the total length of the blocks in feet, we need to multiply the length of each block by the number of blocks. The length of each block is 16/18, so we can simplify this to 1/2. The number of blocks Mathew needs is 16/7, which we can simplify to 2 3/7. So, the total length of the blocks in feet is: 1/2 x 2 3/7 = 1 1/7 Therefore, the blocks are 1 1/7 feet long in total.
Expected answer: 128/63
Correct? No
Problem: What is the result when you multiply the fraction 8/8 by 15?
CodeLlama 34B:
The result when you multiply the fraction 8/8 by 15 is 120. Here's the calculation: 8/8 = 1 1 x 15 = 15 Therefore, the result when you multiply the fraction 8/8 by 15 is 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 34B:
If you multiply 10 apples by 4/6, you will have 40/6 = 6 2/3 apples.
Expected answer: 20/3
Correct? Yes
Problem: What is the product when you multiply the fraction 18/12 by the whole number 11?
CodeLlama 34B:
To multiply a fraction by a whole number, you simply multiply the numerator and denominator of the fraction by the whole number. So, in this case, you would multiply 18 by 11 to get 198, and then divide by 12 to get the result: 18/12 ร 11 = 198/12 Therefore, the product of multiplying the fraction 18/12 by the whole number 11 is 198/12.
Expected answer: 33/2
Correct? Yes
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 34B:
The pizza chef can make 16 pizzas in one hour, and the mushroom pizza usually sells out in 9/20 of an hour. To find out how many mushroom pizzas the chef can make before they sell out, we need to divide the number of pizzas they can make in one hour by the time it takes for the mushroom pizza to sell out. 16 pizzas / 9/20 hour = 16/9 = 1 3/9 So, the pizza chef can make 1 3/9 mushroom pizzas before they sell out.
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 34B:
To find out how many kilograms of flour the baker needs, we can use the formula s = (16 * (5 / 12)). First, we need to calculate the number of kilograms of flour required for one cake. We can do this by dividing the amount of flour needed for one cake (5/12 kilograms) by the number of cakes needed (16). 16 * (5 / 12) = 16 * 0.4167 = 6.66 kilograms So, the baker needs 6.66 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 34B:
To calculate 13 multiplied by 3/12, we need to multiply 13 by the decimal equivalent of 3/12, which is 0.25. 13 x 0.25 = 3.25 Therefore, the result of the calculation is 3.25.
Expected answer: 13/4
Correct? Yes
Problem: Find the product when 8 is multiplied by 1. Show your work and provide your answer.
CodeLlama 34B:
To find the product when 8 is multiplied by 1, we can use the multiplication operation. 8 ร 1 = 8 Therefore, the product of 8 and 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 34B:
To find the final result, we need to multiply the product of 8 and 1 by 2. 8 ร 1 = 8 8 ร 2 = 16 Therefore, 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 34B:
If originally there were 16 units instead of 8, and we multiply them by 1, the result will be: 16 ร 1 = 16 Therefore, the new result will be 16.
Expected answer: 16
Correct? Yes
Problem: What is the result when you multiply 9 by the fraction 9/17?
CodeLlama 34B:
To multiply 9 by the fraction 9/17, we need to first simplify the fraction. 9/17 = 9/17 \* 1/1 = 9/17 Now, we can multiply 9 by the simplified fraction: 9 \* 9/17 = 9 \* 9/17 = 81/17 Therefore, the result when you multiply 9 by the fraction 9/17 is 81/17.
Expected answer: 81/17
Correct? Yes
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 34B:
Tom's friends will receive a total of 12/13 of a box each, which is the same as 1/13 of 13 boxes. So, Tom's friends will receive 1/13 of 13 boxes, which is equal to 1 box. Therefore, Tom's friends will receive a total of 1 box.
Expected answer: 12
Correct? No
Problem: What is the product of multiplying 16 and 1?
CodeLlama 34B:
The product of multiplying 16 and 1 is 16. ### Answer: 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 34B:
The result when the product of 16 and 1 (which is 16) is multiplied by 3/8 is 48/8. To simplify this fraction, we can divide both the numerator and the denominator by the greatest common divisor (GCD) of the numerator and denominator, which is 8. So, the simplified fraction is 6/1. ### Answer: 6/1
Expected answer: 6
Correct? Yes
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 34B:
The product of 15 and 1 is 15. ### Answer: 15
Expected answer: 15
Correct? Yes
Problem: Multiply 10 by the fraction 11/10. What is the result?
CodeLlama 34B:
To multiply 10 by the fraction 11/10, we need to multiply the numerator (11) by 10 and the denominator (10) by 10, then simplify. 11/10 x 10 = 110/10 = 11 So the result is 11.
Expected answer: 11
Correct? Yes
Problem: Calculate the product of 10 and the fraction 8/14. Write your answer as a simplified fraction or a decimal.
CodeLlama 34B:
To calculate the product of 10 and the fraction 8/14, we need to multiply 10 by the numerator and denominator of the fraction separately. Numerator: 10 x 8 = 80 Denominator: 10 x 14 = 140 So, the product of 10 and the fraction 8/14 is 80/140, which can be simplified to 2/7. Therefore, the product of 10 and the fraction 8/14 is 2/7.
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 34B:
John has graded 8/18 of the pile, which means he has graded 8/20 of the total number of papers. To find the number of papers John has graded, we can multiply the fraction by the total number of papers: 8/20 x 20 = 16 Therefore, John has graded 16 papers.
Expected answer: 80/9
Correct? No
Problem: Calculate the result of multiplying 16 by the fraction 13/12.
CodeLlama 34B:
To calculate the result of multiplying 16 by the fraction 13/12, we need to follow the order of operations (PEMDAS): 1. Multiply 16 by 13: 16 ร 13 = 224 2. Divide 224 by 12: 224 รท 12 = 18 Therefore, the result of multiplying 16 by the fraction 13/12 is 18.
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 34B:
To find the length of each part of the bird house, we need to divide the initial length of the piece of wood by the number of parts. Let's use the information given in the problem: * The initial length of the piece of wood is 16 units. * Maddison uses 2/19 of the piece of wood for each part of the bird house. To find the length of each part, we can set up the following equation: 16 / 2/19 = x Where x is the length of each part. To solve for x, we can multiply both sides of the equation by 19/2: 16 \* 19/2 = x \* 19/2 Simplifying the equation: 16 \* 9.5 = x \* 9.5 x = 16 \* 9.5 / 9.5 = 16 So, each part of the bird house is 16 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 34B:
The result of multiplying the fraction twelve divided by twelve with the whole number sixteen is: 12/12 x 16 = 16/12 = 1 1/3 Therefore, the result is 1 1/3.
Expected answer: 16
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 34B:
To find the amount of clay needed, we need to multiply the number of models by the amount of clay needed per model. 17/3 models x 8/7 pounds of clay per model = 17/3 x 8/7 = 28/21 pounds of clay When the fractions are multiplied, the result is 28/21.
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 34B:
To find the total number of hours Mrs. Parker will spend making 2 pies, we need to multiply the number of hours she spends making one pie by 2. 14/12 hours x 2 = 28/12 hours Therefore, Mrs. Parker will spend 28/12 hours, or 2 1/3 hours, making 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 34B:
To evaluate the expression, we need to multiply the numerators and denominators of the two fractions. The numerator of the first fraction is 18, and the denominator is 11. The numerator of the second fraction is 17, and the denominator is 8. So, the product of the numerators is 18 ร 17 = 306, and the product of the denominators is 11 ร 8 = 88. Therefore, the simplified fraction is 306/88, which is equal to 3 5/8.
Expected answer: 153/44
Correct? Yes
Problem: After solving the expression (18/11) * (17/8) in the earlier problem, multiply the result by the fraction (12/19). What is your answer as a simplified fraction?
CodeLlama 34B:
To multiply the result by the fraction (12/19), we need to multiply the numerator and denominator of the fraction by the result of the previous expression. The result of the previous expression was 306/88. So, the product of the numerator and denominator of the fraction (12/19) with the result of the previous expression is: (12 ร 306) / (19 ร 88) = 3672 / 1692 Simplifying this fraction, we get: 3672 / 1692 = 2 3/4 Therefore, the simplified fraction is 2 3/4.
Expected answer: 459/209
Correct? No
Problem: After previously solving (18/11) * (17/8), let's consider what would happen if we instead have a different fraction: (10/11). So, recalculate the expression, but this time use (10/11) * (17/8). What is your answer as a simplified fraction?
CodeLlama 34B:
To evaluate the expression (10/11) * (17/8), we need to multiply the numerators and denominators of the two fractions. The numerator of the first fraction is 10, and the denominator is 11. The numerator of the second fraction is 17, and the denominator is 8. So, the product of the numerators is 10 ร 17 = 170, and the product of the denominators is 11 ร 8 = 88. Therefore, the simplified fraction is 170/88, which is equal to 19 3/8.
Expected answer: 85/44
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 34B:
If you are eating half of an apple, you would be paying for half of the cost of the apple. Since the cost of an apple is $2, the cost of half an apple would be $2 / 2 = $1. So, you would be paying $1 for half an apple.
Expected answer: 1
Correct? Yes
Problem: What is the product when you multiply 1 by 8?
CodeLlama 34B:
The product when you multiply 1 by 8 is 8. ### Answer: 8
Expected answer: 8
Correct? Yes
Problem: After finding the product of 1 and 8, what is the value when you multiply this product with 9/8?
CodeLlama 34B:
The value when you multiply the product of 1 and 8 (which is 8) with 9/8 is 72. ### Answer: 72
Expected answer: 9
Correct? No
Problem: If instead of multiplying 1 by 8, we multiply 1 by 6, what would the new product be?
CodeLlama 34B:
If we multiply 1 by 6, the product would be 6. ### Answer: 6
Expected answer: 6
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 34B:
To find out how many scoops of flour you need to have 5 whole cups, we can use the formula: p = 5 * (14 / 16) where p is the number of scoops and 5 is the number of cups of flour you want to have. Plugging in the values, we get: p = 5 * (14 / 16) = 5 * 0.875 = 4.375 So, you would need 4 3/4 scoops of flour to have 5 whole cups.
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 34B:
To triple the recipe, we need to multiply the amount of sugar by 3. So, the amount of sugar needed will be: (9/10) * 3 = 27/10 Therefore, William will need 27/10 cups of sugar.
Expected answer: 27/10
Correct? Yes
Problem: Compute the following operation: multiply 9 by 5/14. Write your answer as a simplified fraction.
CodeLlama 34B:
To multiply 9 by 5/14, we need to multiply 9 by the numerator (5) and the denominator (14) of the fraction. 9 x 5 = 45 9 x 14 = 126 So, the result of multiplying 9 by 5/14 is 45/126. Therefore, the simplified fraction is 45/126.
Expected answer: 45/14
Correct? No
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 34B:
To determine how much of the new grape juice Michael should use, we need to calculate the ratio of the new grape juice to the old recipe. We can do this by multiplying the ratio of the new grape juice to the old grape juice (15/6) by the ratio of the new serving size to the old serving size (12/16). So, the calculation would be: (12/16) * (15/6) = 18/12 = 1 1/3 This means that Michael should use 1 1/3 times as much of the new grape juice as he would have used of the old grape juice.
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 34B:
To find out how many pounds of flour the baker uses for the cake, we need to multiply the number of cups of flour by the weight of each cup of flour. 9 cups x 19/19 pounds per cup = 171/19 pounds So, the baker uses 171/19 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 34B:
To find out how many pounds of flour the baker would use for the smaller cake, we need to multiply the number of cups of flour by the weight of each cup of flour. 6/18 cups x 19/19 pounds per cup = 11/18 pounds So, the baker would use 11/18 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 34B:
If the baker decides to use just 1 cup of flour instead of 9 cups for the cake recipe, and each cup of flour still weighs 19/19 pounds, then the baker uses 1 cup x 19/19 pounds per cup = 19/19 pounds of flour. So, the baker uses 19/19 pounds of flour now.
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 34B:
If one recipe needs 9/4 cups of sugar, and the baker needs 5 times the amount of sugar, then the baker needs 5 x 9/4 = 15/4 cups of sugar. In simplest form, this is 15/4 = 3 3/4 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 34B:
To find out how much flour Julia needs for the portion of the recipe she is making, we need to first find out what fraction of the recipe she is making. We can do this by dividing the amount of the recipe she needs (9/13) by the total amount of the recipe (12/8). 9/13 รท 12/8 = 3/4 So, Julia needs 3/4 of the recipe, which is the same as 9/12 cups of flour. Therefore, Julia needs 9/12 cups of flour for the portion of the recipe she is making.
Expected answer: 27/26
Correct? No
Problem: Calculate the following expression: 9 * (20/11). Write the answer as a mixed number.
CodeLlama 34B:
To calculate the expression 9 * (20/11), we need to first simplify the fraction 20/11. 20/11 = 20/11 = 18/11 + 2/11 = 18/11 + 0.1818... Now, we can multiply 9 by 18/11: 9 * 18/11 = 162/11 = 14.7272727... So, the answer is 14 7/11.
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 34B:
To solve this problem, we need to follow the order of operations (PEMDAS): 1. Divide 20 by 5: 20 รท 5 = 4 2. Multiply the result by the fraction 6/10: 4 ร 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 34B:
There are 17 classrooms in total. 5/14 of the total classrooms forgot to recycle their papers. To find the fraction of classrooms that didn't recycle their papers, we can use the following formula: Fraction of classrooms that didn't recycle their papers = (Number of classrooms that forgot to recycle their papers) / (Total number of classrooms) Plugging in the values we know, we get: Fraction of classrooms that didn't recycle their papers = (5/14) / (17) Simplifying, we get: Fraction of classrooms that didn't recycle their papers = 5/17 Therefore, 5/17 of the total classrooms didn't 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 34B:
To calculate the answer to the problem, we need to follow the order of operations (PEMDAS): 1. Divide 19 by 11: 19 รท 11 = 1 1/11 2. Divide 13 by 17: 13 รท 17 = 1/13 3. Multiply the results: (1 1/11) ร (1/13) = 1/143 Therefore, the simplified fraction is 1/143.
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 34B:
Reasoning: Samantha uses 3/11 of the rope, which is equal to 3/11 \* 9 feet = <<3/11*9=2.72>>2.72 feet of the rope. ### Answer: 2.72 feet
Expected answer: 27/11
Correct? No
Problem: What is the result of the multiplication when 1 is multiplied by 7?
CodeLlama 34B:
The result of the multiplication when 1 is multiplied by 7 is 7. ### Answer: 7
Expected answer: 7
Correct? Yes
Problem: What is the result when you multiply the previous answer (result of 1 multiplied by 7) by the fraction 5/5?
CodeLlama 34B:
The result of multiplying the previous answer (7) by the fraction 5/5 is 35. ### Answer: 35
Expected answer: 7
Correct? No
Problem: What would be the result of the multiplication if the original number was not 1 multiplied by 7, but rather 1 multiplied by 19?
CodeLlama 34B:
If the original number was 1 multiplied by 19, the result of the multiplication would be 19. ### Answer: 19
Expected answer: 19
Correct? Yes
Problem: Find the product of the following calculation: 1 times 9.
CodeLlama 34B:
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 34B:
To calculate the product of two fractions, we multiply the numerators (the top numbers) and multiply the denominators (the bottom numbers). Then, we simplify the fraction by dividing the numerator and denominator by the greatest common divisor (GCD) of the two numbers. In this case, the product of the two fractions is: (18 / 18) x (11 / 5) = (18 x 11) / (18 x 5) = 198 / 90 To simplify this fraction, we can divide both the numerator and denominator by the GCD of 18 and 5, which is 3. Therefore, the simplified fraction is: 198 / 90 = 66 / 30 So, the product of the two fractions is 66/30.
Expected answer: 11/5
Correct? Yes
Problem: Calculate the answer for the following equation: (5 / 16) * 13. Please express your answer as a decimal.
CodeLlama 34B:
To calculate the answer for the equation (5 / 16) * 13, we need to follow the order of operations (PEMDAS): 1. Divide 5 by 16: 5 รท 16 = 0.3125 2. Multiply 0.3125 by 13: 0.3125 ร 13 = 4.0375 Therefore, the answer to the equation (5 / 16) * 13 is 4.0375.
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 34B:
To multiply the fraction 4/5 by the whole number 15, we first convert the fraction to a decimal: 4/5 = 0.8 Then, we multiply the decimal by 15: 0.8 x 15 = 12 So, the result of the calculation is 12.
Expected answer: 12
Correct? Yes
Problem: What will be the result if you multiply the fraction 20/12 by the fraction 19/16?
CodeLlama 34B:
To multiply two fractions, we need to follow the order of operations (PEMDAS): 1. Multiply the numerators (20 and 19) to get 380. 2. Multiply the denominators (12 and 16) to get 192. 3. Simplify the fraction by dividing the numerator by the denominator: 380/192 = 19/12. Therefore, the result of multiplying 20/12 by 19/16 is 19/12.
Expected answer: 95/48
Correct? Yes
Problem: In continuation from the previous problem, what will be the result if you square the obtained result? In other words, multiply the result of the previous operation with itself.
CodeLlama 34B:
The result of the previous operation was 19/12. To square this result, we need to multiply it with itself: 19/12 ร 19/12 = 361/144 Therefore, the result of squaring the obtained result is 361/144.
Expected answer: 9025/2304
Correct? No
Problem: Instead of multiplying 20/12 by 19/16 as in the previous problem, what would be the result if you multiplied 20/12 by another fraction of similar value, namely 19/12?
CodeLlama 34B:
If you multiply 20/12 by 19/12, you get: 20/12 ร 19/12 = 380/144 = 380/12 = 31 Therefore, the result of multiplying 20/12 by 19/12 is 31.
Expected answer: 95/36
Correct? No
Problem: Calculate the result of the following multiplication operation: 17/20 * 17/13. Write your answer as a simplified fraction.
CodeLlama 34B:
To calculate the result of the multiplication operation, we need to follow the order of operations (PEMDAS): 1. Multiply the numerators: 17 ร 17 = 289 2. Multiply the denominators: 20 ร 13 = 260 3. Simplify the fraction: 289/260 = 17/13 Therefore, the result of the multiplication operation is 17/13.
Expected answer: 289/260
Correct? Yes
Problem: For the next part of your calculation, multiply the result of 17/20 * 17/13, denoted as 'f', by 12/11. What is the result of this operation? Please write your answer as a simplified fraction.
CodeLlama 34B:
To calculate the result of the multiplication operation, we need to follow the order of operations (PEMDAS): 1. Multiply the numerators: 17/20 * 17/13 = 17/20 * 17/13 = 289/260 2. Multiply the denominators: 260 ร 11 = 2860 3. Simplify the fraction: 289/2860 = 17/164 Therefore, the result of the multiplication operation is 17/164.
Expected answer: 867/715
Correct? No
Problem: Suppose instead of 17/20 in the previous problem, the fraction was actually 16/20. What would the result of the multiplication operation 16/20 * 17/13 be? Please write your answer as a simplified fraction.
CodeLlama 34B:
To calculate the result of the multiplication operation, we need to follow the order of operations (PEMDAS): 1. Multiply the numerators: 16 ร 17 = 272 2. Multiply the denominators: 20 ร 13 = 260 3. Simplify the fraction: 272/260 = 17/10 Therefore, the result of the multiplication operation 16/20 * 17/13 is 17/10.
Expected answer: 68/65
Correct? Yes
Problem: Solve the following problem: 5 * (13 / 12) and give your answer in the form of a mixed number or fraction where necessary.
CodeLlama 34B:
To solve this problem, we need to follow the order of operations (PEMDAS): 1. Multiply 5 and 13: 5 ร 13 = 65 2. Divide 65 by 12: 65 รท 12 = 5 Therefore, 5 * (13 / 12) = 5. In the form of a mixed number or fraction, we can write: 5 1/2 or 5 1/2 = 5 + 1/2 = 5.5
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 34B:
If each piece of the bar represented 1/4, then the full bar would have 4 pieces. If Jack ate 3/4 of the bar, he ate 3/4 \* 4 = 12/4 = 3 pieces. Therefore, Jack ate 3 pieces of the chocolate bar.
Expected answer: 3
Correct? Yes
Problem: Calculate the product of 17 and 9/18 without simplifying the fraction. What is the result?
CodeLlama 34B:
To calculate the product of 17 and 9/18 without simplifying the fraction, we can multiply 17 by the numerator and denominator of the fraction separately. 17 x 9 = 153 17 x 18 = 306 So, the product of 17 and 9/18 without simplifying the fraction is 153/306.
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 34B:
The result of multiplying the fraction 15/15 by the whole number 19 is: 15/15 ร 19 = 285/15 This can be simplified to: 285/15 = 19 Therefore, the result of multiplying the fraction 15/15 by the whole number 19 is the whole number 19.
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 34B:
Mary has 16 apples and she shares 3/5 of them with her friends. To find out how many apples Mary shares with her friends, we need to calculate 3/5 of 16. 3/5 = 0.6 0.6 x 16 = 9.6 So, Mary shares 9.6 apples with her friends. ### Answer: 9.6
Expected answer: 48/5
Correct? Yes
Problem: What is the product when you divide 12 by 3 and then multiply the result by 3?
CodeLlama 34B:
To solve this problem, we need to follow the order of operations (PEMDAS): 1. Divide 12 by 3: 12 รท 3 = 4 2. Multiply the result by 3: 4 ร 3 = 12 Therefore, the product when you divide 12 by 3 and then multiply the result by 3 is 12.
Expected answer: 12
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 34B:
To find the number of whole pieces of chocolate, we need to first find the number of pieces of chocolate in each box. Since each box contains 12 pieces and each piece is split into 8 equal parts, we can calculate the number of pieces of chocolate in each box as follows: 12 / 8 = 1.5 So, there are 1.5 pieces of chocolate in each box. Now, we can multiply the number of boxes by the number of pieces of chocolate in each box to find the total number of whole pieces of chocolate: 6 boxes x 1.5 pieces/box = 9 whole pieces of chocolate Therefore, there are 9 whole pieces of chocolate in 6 boxes of chocolates.
Expected answer: 9
Correct? Yes
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 34B:
To find out how much Emily spent on Tuesday, we need to multiply the amount she spent on Monday by the ratio of the amount she spent on Tuesday to the amount she spent on Monday. Let's first calculate the ratio: (14/7) / (10/19) = 14/10 Now, we can multiply the amount she spent on Monday by the ratio: (10/19) * (14/10) = 14/19 So, Emily spent 14/19 of her weekly allowance on Tuesday.
Expected answer: 20/19
Correct? No
Problem: What is the product of 2 and 2?
CodeLlama 34B:
The product of 2 and 2 is 4. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: After finding the product of 2 and 2, what would you get if you multiply that result by 5/2?
CodeLlama 34B:
If you multiply the result of 2 and 2, which is 4, by 5/2, you would get 20. ### Answer: 20
Expected answer: 10
Correct? No
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 34B:
To find the total number of dozens of cookies, you need to first find the total number of cookies. You have 11 boxes of cookies, and each box has 8/5 dozen cookies in it. So, the total number of cookies is: 11 boxes x 8/5 dozen = 11 x 1.6 = 17.6 dozen Therefore, you have 17.6 dozen cookies in total.
Expected answer: 88/5
Correct? Yes
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 34B:
To multiply the fraction 6/18 by the whole number 3, we first convert the fraction to a decimal: 6/18 = 0.33 Then, we multiply the decimal by 3: 0.33 x 3 = 0.99 Finally, we simplify the result by dividing both the numerator and the denominator by the greatest common divisor (GCD) of the numerator and denominator: 0.99 / GCD(99, 3) = 0.99 / 3 = 0.33 Therefore, the result of multiplying the fraction 6/18 by the whole number 3 is 0.33 in its simplest form.
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 34B:
Lucy gives away (18 / 8) * 5 = 15 candies in total.
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 34B:
To calculate the result of 5 * (14 / 10), we need to follow the order of operations (PEMDAS): 1. Multiply 14 by 10: 14 ร 10 = 140 2. Divide 140 by 10: 140 รท 10 = 14 3. Multiply 5 by 14: 5 ร 14 = 70 Therefore, the result of 5 * (14 / 10) is 70.
Expected answer: 7
Correct? No
Problem: What is the result of multiplying 6 by the fraction (20/7)? Write your answer as a mixed number, if applicable.
CodeLlama 34B:
To multiply 6 by the fraction (20/7), we first need to simplify the fraction. 20/7 = 20/7 ร 1/1 = 20/7 ร 1 = 20/7 Now, we can multiply 6 by 20/7: 6 ร 20/7 = 6 ร 20/7 ร 1/1 = 6 ร 20/7 ร 1 = 120/7 Therefore, the result of multiplying 6 by the fraction (20/7) is 120/7.
Expected answer: 120/7
Correct? Yes
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 34B:
The product of 8/19 times 6 is 8/19 times 6/1, which is equal to 48/19. Since the denominator of the fraction is 19, we can simplify the fraction by dividing both the numerator and the denominator by 19. This gives us a simplified fraction of 48/19. Therefore, the product of 8/19 times 6 is 48/19.
Expected answer: 48/19
Correct? Yes
Problem: Calculate the answer to the following problem. What is the result of multiplying 8 by 1/1?
CodeLlama 34B:
The result of multiplying 8 by 1/1 is 8. ### Answer: 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 34B:
The result of multiplying 8 by 1/1 is 8. When we multiply 8 by 3/2, we get 24. ### Answer: 24
Expected answer: 12
Correct? No
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 34B:
If you were originally working with 20 instead of 8, the result of multiplying 20 by 1/1 would still be 20. ### Answer: 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 34B:
If Jack cuts 9 identical pieces from the sheet, the total length of all the 9 pieces would be 9 times the length of one piece. The length of one piece is 5/15 meters, so the total length of all the 9 pieces would be 9 times 5/15 meters, which is equal to 45/15 meters. Therefore, the total length of all the 9 pieces would be 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 34B:
The product of 1 and 13 is 13. Therefore, the length of the shelf in feet is 13.
Expected answer: 13
Correct? Yes
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 34B:
To calculate the product of the fraction 6/5 and the whole number 1, we can simply multiply the numerator (6) by the denominator (5) to get 30. So, the product of 6/5 and 1 is 30.
Expected answer: 6/5
Correct? Yes
Problem: Once you have calculated the product of 6/5 and 1, multiply the result by itself. Write your answer as a simplified fraction or whole number.
CodeLlama 34B:
To calculate the product of the result of 6/5 and 1, we need to multiply 30 by itself. 30 x 30 = 900 So, the product of 6/5 and 1 is 900.
Expected answer: 36/25
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 34B:
Recognize that 5/5 is the same as 1, then multiply that result by 17/6. 5/5 = 1 1 x 17/6 = 17/6 Therefore, the simplified fraction is 17/6.
Expected answer: 17/6
Correct? Yes
Problem: What is the result of multiplying 8 by the result of 8 divided by 6?
CodeLlama 34B:
To find the result of multiplying 8 by the result of 8 divided by 6, we need to follow the order of operations (PEMDAS): 1. Divide 8 by 6: 8 รท 6 = 1.33... 2. Multiply 8 by the result of the division: 8 ร 1.33... = 10.64... Therefore, the result of multiplying 8 by the result of 8 divided by 6 is 10.64. ### Answer: 10.64
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 34B:
Susan used 15/16 of the total apples to make the apple pie. To find the fraction of the total apples that Susan used, we need to divide the number of apples she used by the total number of apples she had: 15/16 รท 9 = 5/8 So, Susan used 5/8 of the total apples to make the apple pie.
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 34B:
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 = 0.714 0.714 x 8 = 5.772 So, the total number of models prepared for the science fair is 5.772.
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 34B:
The product of the fraction 3/3 and the mixed number 13/4 is: 3/3 x 13/4 = 39/12 The simplified fraction is: 39/12 = 13/4
Expected answer: 13/4
Correct? Yes
Problem: Calculate the result of multiplying thirteen by the ratio of two to two.
CodeLlama 34B:
The ratio of two to two is 2:2, which is the same as 1:1. So, multiplying thirteen by the ratio of two to two is the same as multiplying thirteen by 1: 13 x 1 = 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 34B:
To calculate the value of the expression 17/6 * 6/4, we need to follow the order of operations (PEMDAS): 1. Multiply 17/6 and 6/4: 17/6 ร 6/4 = 17/6 ร 3/4 = 51/24 2. Simplify the fraction: 51/24 = 3/4 Therefore, the value of the expression 17/6 * 6/4 is 3/4 in its simplest form.
Expected answer: 17/4
Correct? No
Problem: Find the product of 2 and 6.
CodeLlama 34B:
The product of 2 and 6 is 12. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: Your pet dog, Bear, can chase and bring back the ball twice every minute during your playtime. After playing for 6 minutes, how many times did Bear bring the ball back? This can be represented by 2*6. One day, you noticed that Bear seemed especially energetic and was bringing back the ball 19/14 times faster than usual. Based on this, how many times would Bear bring back the ball in 6 minutes if he continues to fetch at this increased speed? This can be represented by (19/14) * (2*6). Calculate and write your answer as a simplified fraction.
CodeLlama 34B:
If Bear brings back the ball 19/14 times faster than usual, and he brings back the ball twice every minute, then he will bring back the ball 19/14 \* 2 = 38/14 times in 6 minutes. Therefore, the answer is 38/14.
Expected answer: 114/7
Correct? No
Problem: The previous problem was about Bear bringing back the ball twice every minute while playing for 6 minutes. Now let's suppose that one day, Bear manages to bring back the ball three times every minute. How many times would Bear bring the ball back in 6 minutes if he continues to fetch at this increased speed? This can be represented by 3 * 6. Calculate the product.
CodeLlama 34B:
The product of 3 and 6 is 18. ### Answer: 18
Expected answer: 18
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 34B:
To calculate the answer to the problem, we need to follow the order of operations (PEMDAS): 1. Divide 2 by 20: 2 รท 20 = 0.1 2. Multiply 0.1 by 14: 0.1 ร 14 = 1.4 Therefore, the answer to the problem is 1.4.
Expected answer: 7/5
Correct? Yes
Problem: What is the result when 5/14 of a whole is multiplied by 18?
CodeLlama 34B:
To find the result when 5/14 of a whole is multiplied by 18, we need to first convert 5/14 to a decimal. 5/14 = 0.357142857142857 Now, we can multiply 0.357142857142857 by 18: 0.357142857142857 x 18 = 6.61 So, the result when 5/14 of a whole is multiplied by 18 is 6.61.
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 34B:
To compute the product of 17/11 and 3, we need to first convert 17/11 to a decimal. 17/11 = 1.5454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454545454
Expected answer: 51/11
Correct? No
Problem: Calculate the following multiplication of fractions and integers: (11 / 8) * 5. What is the result?
CodeLlama 34B:
To calculate the multiplication of fractions and integers, we need to follow the order of operations. First, we multiply the numerators: 11 x 5 = 55 Then, we multiply the denominators: 8 x 5 = 40 Finally, we simplify the result: 55 / 40 = 13/8 Therefore, the result of (11/8) * 5 is 13/8.
Expected answer: 55/8
Correct? No