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Multiply Fractions by Whole

Grade 4 · Fractions · Worksheet 1

  1. Liam is baking cookies for his class party. He needs to make 3/4 of a batch of chocolate chip cookies and 2/3 of a batch of oatmeal raisin cookies. If one full batch uses 24 cups of flour total, how many cups of flour will Liam use for both types of cookies? Answer: ______________
  2. Liam is baking cookies for his class party. He needs to make 3 batches of cookies, and each batch requires 2/3 cup of chocolate chips. How many cups of chocolate chips does Liam need in total? Answer: ______________
  3. Matiu is drawing a rectangular garden on a grid. The garden is 20 units long. He shades 3/5 of the length to represent where he will plant carrots. How many units long is the carrot section? Answer: ______________
  4. Hana is making mini pizzas for a party. Each mini pizza needs 3/8 of a cup of cheese. If Hana makes 144 mini pizzas, how many cups of cheese does she need in total? Answer: ______________
  5. Mason is helping to set up chairs for a school assembly. He needs to place chairs in rows across the gym floor. Each row uses 7/8 of a roll of tape to mark the spots. If Mason needs to mark 112 rows, how many rolls of tape will he use in total? Answer: ______________
  6. Liam is helping his grandmother prepare jars of honey for the local farmers' market. Each jar holds 3/5 of a pint of honey. If Liam fills 125 jars, how many pints of honey will he use in total? Answer: ______________
  7. Aroha is organizing a community garden. Each row of plants needs 3/5 of a bag of fertilizer. If Aroha has 20 rows to fertilize, how many bags of fertilizer will she need in total? Answer: ______________
  8. 5 × 3/8 = ? Answer: ______________
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Answer Key & Explanations

Multiply Fractions by Whole · Grade 4 · Worksheet 1

  1. Liam is baking cookies for his class party. He needs to make 3/4 of a batch of chocolate chip cookies and 2/3 of a batch of oatmeal raisin cookies. If one full batch uses 24 cups of flour total, how many cups of flour will Liam use for both types of cookies? Answer: 34 Solution: One full batch of cookies uses 24 cups of flour. - 3/4 batch of chocolate chip cookies - 2/3 batch of oatmeal raisin cookies We need to find the total cups of flour used for both partial batches.
    Full step-by-step solution

    Let's break this problem down step-by-step. --- **Step 1: Understand the problem** One full batch of cookies uses 24 cups of flour. Liam is making: - 3/4 batch of chocolate chip cookies - 2/3 batch of oatmeal raisin cookies We need to find the total cups of flour used for both partial batches. --- **Step 2: Find flour for chocolate chip cookies** One full batch = 24 cups. 3/4 batch = (3/4) × 24 cups. Calculation: (3/4) × 24 = (3 × 24) / 4 = 72 / 4 = 18 cups. So, chocolate chip cookies use 18 cups. --- **Step 3: Find flour for oatmeal raisin cookies** 2/3 batch = (2/3) × 24 cups. Calculation: (2/3) × 24 = (2 × 24) / 3 = 48 / 3 = 16 cups. So, oatmeal raisin cookies use 16 cups. --- **Step 4: Add the amounts** Total flour = 18 + 16 = 34 cups. --- **Final Answer:** 34

  2. Liam is baking cookies for his class party. He needs to make 3 batches of cookies, and each batch requires 2/3 cup of chocolate chips. How many cups of chocolate chips does Liam need in total? Answer: 2 Solution: Liam needs to make 3 batches of cookies. Each batch requires 2/3 cup of chocolate chips.
    Full step-by-step solution

    Liam needs to make 3 batches of cookies. Each batch requires 2/3 cup of chocolate chips. To find the total cups needed, we multiply the number of batches by the chocolate chips per batch: Total = 3 × (2/3) Step 1: Write 3 as a fraction: 3 = 3/1 So the multiplication becomes: (3/1) × (2/3) Step 2: Multiply the numerators: 3 × 2 = 6 Multiply the denominators: 1 × 3 = 3 This gives: 6/3 Step 3: Simplify 6/3: 6 ÷ 3 = 2 So Liam needs 2 cups of chocolate chips in total.

  3. Matiu is drawing a rectangular garden on a grid. The garden is 20 units long. He shades 3/5 of the length to represent where he will plant carrots. How many units long is the carrot section? Answer: 12 Solution: We need to find 3/5 of 20. This means multiply the whole number 20 by the fraction 3/5. Step 2: Write the multiplication: 20 x 3/5 = (20 x 3) / 5 = 60 / 5.
    Full step-by-step solution

    Step 1: We need to find 3/5 of 20. This means multiply the whole number 20 by the fraction 3/5. Step 2: Write the multiplication: 20 x 3/5 = (20 x 3) / 5 = 60 / 5. Step 3: Divide 60 by 5: 60 / 5 = 12. The carrot section is 12 units long.

  4. Hana is making mini pizzas for a party. Each mini pizza needs 3/8 of a cup of cheese. If Hana makes 144 mini pizzas, how many cups of cheese does she need in total? Answer: 54 Solution: Each mini pizza needs 3/8 cup of cheese. Hana makes 144 pizzas.
    Full step-by-step solution

    Step 1: Each mini pizza needs 3/8 cup of cheese. Hana makes 144 pizzas. Step 2: Multiply the number of pizzas by the cheese per pizza: 144 × 3/8 Step 3: Write 144 as a fraction: 144 = 144/1 Step 4: Multiply the numerators: 144 × 3 = 432 Step 5: Multiply the denominators: 1 × 8 = 8 Step 6: Simplify the fraction: 432/8 = 432 ÷ 8 = 54 The answer is 54 cups of cheese.

  5. Mason is helping to set up chairs for a school assembly. He needs to place chairs in rows across the gym floor. Each row uses 7/8 of a roll of tape to mark the spots. If Mason needs to mark 112 rows, how many rolls of tape will he use in total? Answer: 98 Solution: Each row uses 7/8 of a roll of tape. There are 112 rows. Multiply the amount per row by the number of rows: 7/8 × 112.
    Full step-by-step solution

    Step 1: Each row uses 7/8 of a roll of tape. Step 2: There are 112 rows. Step 3: Multiply the amount per row by the number of rows: 7/8 × 112. Step 4: Write 112 as a fraction: 112/1. Step 5: Multiply numerators: 7 × 112 = 784. Step 6: Multiply denominators: 8 × 1 = 8. Step 7: The fraction is 784/8. Step 8: Simplify by dividing: 784 ÷ 8 = 98. The answer is 98 rolls of tape.

  6. Liam is helping his grandmother prepare jars of honey for the local farmers' market. Each jar holds 3/5 of a pint of honey. If Liam fills 125 jars, how many pints of honey will he use in total? Answer: 75 Solution: Each jar holds 3/5 of a pint of honey. Liam fills 125 jars. Multiply the amount per jar by the number of jars: 3/5 × 125.
    Full step-by-step solution

    Step 1: Each jar holds 3/5 of a pint of honey. Step 2: Liam fills 125 jars. Step 3: Multiply the amount per jar by the number of jars: 3/5 × 125. Step 4: Write 125 as a fraction: 125/1. Step 5: Multiply the numerators: 3 × 125 = 375. Step 6: Multiply the denominators: 5 × 1 = 5. Step 7: The result is 375/5. Step 8: Simplify by dividing 375 by 5: 375 ÷ 5 = 75. The answer is 75 pints of honey.

  7. Aroha is organizing a community garden. Each row of plants needs 3/5 of a bag of fertilizer. If Aroha has 20 rows to fertilize, how many bags of fertilizer will she need in total? Answer: 12 Solution: Each row needs 3/5 of a bag of fertilizer. There are 20 rows. Multiply the amount per row by the number of rows: 20 × 3/5.
    Full step-by-step solution

    Step 1: Each row needs 3/5 of a bag of fertilizer. Step 2: There are 20 rows. Step 3: Multiply the amount per row by the number of rows: 20 × 3/5. Step 4: Write 20 as a fraction: 20 = 20/1. Step 5: Multiply the numerators: 20 × 3 = 60. Step 6: Multiply the denominators: 1 × 5 = 5. Step 7: The product is 60/5. Step 8: Simplify: 60 ÷ 5 = 12. The answer is 12 bags of fertilizer.

  8. 5 × 3/8 = ? Answer: 15/8 Solution: Write the whole number as a fraction. 5 is the same as 5/1. Multiply the numerators together.
    Full step-by-step solution

    Step 1: Write the whole number as a fraction. 5 is the same as 5/1. Step 2: Multiply the numerators together. 5 × 3 = 15. Step 3: Multiply the denominators together. 1 × 8 = 8. Step 4: Combine the results to form the new fraction: 15/8. The answer is 15/8.