Multiply Fractions by Whole

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Answer Key & Explanations

Multiply Fractions by Whole · Grade 4 · Worksheet 3

1. 8 × 2/7 = ? Answer: 16/7 Solution: Write the whole number as a fraction: 8 = 8/1 Multiply the numerators: 8 × 2 = 16 Multiply the denominators: 1 × 7 = 7 Combine the results: 16/7 The answer is 16/7.
   Full step-by-step solution

   Step 1: Write the whole number as a fraction: 8 = 8/1 Step 2: Multiply the numerators: 8 × 2 = 16 Step 3: Multiply the denominators: 1 × 7 = 7 Step 4: Combine the results: 16/7 The answer is 16/7.

2. Aroha is helping her grandmother make traditional woven baskets. Each basket requires 3/5 of a skein of wool. If Aroha needs to make 15 baskets for the local market, how many skeins of wool does she need in total? Answer: 9 Solution: Each basket uses 3/5 of a skein of wool. Aroha needs to make 15 baskets.
   Full step-by-step solution

   Step 1: Each basket uses 3/5 of a skein of wool. Aroha needs to make 15 baskets. Step 2: Multiply the fraction by the whole number: 15 × 3/5 Step 3: Write 15 as a fraction: 15 = 15/1 Step 4: Multiply the numerators: 15 × 3 = 45 Step 5: Multiply the denominators: 1 × 5 = 5 Step 6: Simplify the fraction: 45/5 = 9 Step 7: Aroha needs 9 skeins of wool in total. The answer is 9.

3. A school is organizing a field trip and needs to provide snacks. Each student will receive 3/4 of a granola bar. If there are 28 students going on the trip, how many whole granola bars does the school need to bring? Answer: 21 Solution: Each student gets 3/4 of a granola bar There are 28 students total Multiply to find total granola bars needed: 28 × 3/4 Write 28 as a fraction: 28/1 Multiply numerators: 28 × 3 = 84 Multiply denominators: 1 × 4 = 4 Simplify the fraction: 84/4 = 21 The school needs 21 whole granola bars The…
   Full step-by-step solution

   Step 1: Each student gets 3/4 of a granola bar Step 2: There are 28 students total Step 3: Multiply to find total granola bars needed: 28 × 3/4 Step 4: Write 28 as a fraction: 28/1 Step 5: Multiply numerators: 28 × 3 = 84 Step 6: Multiply denominators: 1 × 4 = 4 Step 7: Simplify the fraction: 84/4 = 21 Step 8: The school needs 21 whole granola bars The answer is 21.

4. Hana is helping her grandmother prepare gift bags for a family reunion. Each gift bag needs 5/8 of a cup of popcorn kernels. If Hana fills 120 gift bags, how many cups of popcorn kernels does she use in total? Answer: 75 Solution: Each gift bag needs 5/8 cup of popcorn kernels. Hana fills 120 bags. Multiply the amount per bag by the number of bags: 120 × 5/8.
   Full step-by-step solution

   Step 1: Each gift bag needs 5/8 cup of popcorn kernels. Hana fills 120 bags. Step 2: Multiply the amount per bag by the number of bags: 120 × 5/8. Step 3: Write 120 as a fraction: 120 = 120/1. Step 4: Multiply the numerators: 120 × 5 = 600. Step 5: Multiply the denominators: 1 × 8 = 8. Step 6: The result is 600/8. Step 7: Simplify the fraction by dividing both numerator and denominator by 8: 600 ÷ 8 = 75. The answer is 75 cups of popcorn kernels.

5. A recipe requires 3/4 cup of flour for one batch of cookies. If Sarah wants to make 5 batches, how many cups of flour does she need in total? Express your answer as a simplified fraction. Answer: 15/4 Solution: One batch of cookies requires 3/4 cup of flour. Sarah wants to make 5 batches, so we need to find the total flour for 5 batches. Set up the multiplication.
   Full step-by-step solution

   Step 1: Understand the problem. One batch of cookies requires 3/4 cup of flour. Sarah wants to make 5 batches, so we need to find the total flour for 5 batches. Step 2: Set up the multiplication. Total flour = (flour per batch) × (number of batches) Total flour = (3/4) × 5 Step 3: Multiply the fraction by the whole number. (3/4) × 5 = (3 × 5) / 4 Step 4: Perform the multiplication in the numerator. 3 × 5 = 15 So, (3 × 5) / 4 = 15/4 Step 5: Check if the fraction can be simplified. 15 and 4 have no common factors other than 1, so 15/4 is already in simplest form. Step 6: Final answer. Sarah needs 15/4 cups of flour in total.

6. A rectangular classroom floor is covered with square tiles. The floor measures 15 tiles long and 12 tiles wide. If you look at the entire floor, how many tiles are there in total? Answer: 180 Solution: The classroom floor is rectangular with tiles arranged in rows and columns. There are 15 tiles along the length (rows). There are 12 tiles along the width (columns).
   Full step-by-step solution

   Step 1: The classroom floor is rectangular with tiles arranged in rows and columns. Step 2: There are 15 tiles along the length (rows). Step 3: There are 12 tiles along the width (columns). Step 4: To find the total number of tiles, multiply the number of rows by the number of columns: 15 × 12. Step 5: Calculate 15 × 12 = 180. The answer is 180.

7. Aroha is organizing a community garden. Each garden bed needs 5/8 of a bag of compost. If Aroha has 120 garden beds to prepare, how many bags of compost will she need in total? Answer: 75 Solution: Each garden bed needs 5/8 of a bag of compost. There are 120 garden beds. Multiply: 120 × 5/8.
   Full step-by-step solution

   Step 1: Each garden bed needs 5/8 of a bag of compost. Step 2: There are 120 garden beds. Step 3: Multiply: 120 × 5/8. Step 4: Write 120 as a fraction: 120/1. Step 5: Multiply numerators: 120 × 5 = 600. Step 6: Multiply denominators: 1 × 8 = 8. Step 7: This gives 600/8. Step 8: Simplify by dividing numerator and denominator by 8: 600 ÷ 8 = 75. The answer is 75 bags of compost.

8. Emma is making friendship bracelets for her class. She needs 3/4 of a yard of string for each bracelet. If she wants to make 12 bracelets, how many yards of string does Emma need in total? Answer: 9 Solution: Emma needs 3/4 yard of string for each bracelet She wants to make 12 bracelets Multiply the amount per bracelet by the number of bracelets: 3/4 × 12 Convert 12 to a fraction: 12 = 12/1 Multiply the fractions: (3/4) × (12/1) = (3 × 12)/(4 × 1) = 36/4 Simplify the fraction: 36 ÷ 4 = 9 Emma needs 9…
   Full step-by-step solution

   Step 1: Emma needs 3/4 yard of string for each bracelet Step 2: She wants to make 12 bracelets Step 3: Multiply the amount per bracelet by the number of bracelets: 3/4 × 12 Step 4: Convert 12 to a fraction: 12 = 12/1 Step 5: Multiply the fractions: (3/4) × (12/1) = (3 × 12)/(4 × 1) = 36/4 Step 6: Simplify the fraction: 36 ÷ 4 = 9 Emma needs 9 yards of string in total.

9. 3 × 2/5 = ? Answer: 6/5 Solution: We are multiplying a whole number (3) by a fraction (2/5). The expression is: 3 × 2/5. Interpret the whole number as a fraction.
   Full step-by-step solution

   Step 1: Understand the problem. We are multiplying a whole number (3) by a fraction (2/5). The expression is: 3 × 2/5. Step 2: Interpret the whole number as a fraction. Any whole number can be written as a fraction with denominator 1. So, 3 = 3/1. Now the problem becomes: (3/1) × (2/5). Step 3: Multiply the fractions. To multiply fractions, multiply the numerators together and multiply the denominators together. Numerators: 3 × 2 = 6 Denominators: 1 × 5 = 5 So, the product is 6/5. Step 4: Check if the fraction can be simplified. 6 and 5 have no common factors other than 1, so 6/5 is already in simplest form. Final Answer: 6/5