Word Problems on Multiplying Mixed Number and Fraction — Printable ... - Free Printable

Let’s solve each problem one by one, step by step.

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Problem 1: Amy bought three and one-half lbs of flour and used half of it to bake cookies. How much flour did Amy use?

Step 1: Convert “three and one-half” to an improper fraction.
3½ = 7/2

Step 2: She used *half* of that amount → multiply by 1/2
(7/2) × (1/2) = 7/4

Step 3: Convert back to mixed number if needed.
7 ÷ 4 = 1 with remainder 3 → 1¾

✔ Amy used 1¾ lbs of flour.

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Problem 2: Tom has a rectangular cloth of length four and one-third inches and breadth one-fourth inch. Find the area of the fabric.

Area of rectangle = length × width

Step 1: Convert 4⅓ to improper fraction → 13/3
Breadth is already 1/4

Step 2: Multiply: (13/3) × (1/4) = 13/12

Step 3: Convert to mixed number → 13 ÷ 12 = 1 R1 → 1¹⁄₁₂

✔ Area = 1¹⁄₁₂ square inches

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Problem 3: Sia bought five and one-half lbs of fruits and used one-third of it to make smoothies. How much fruit did Sia use?

Step 1: Convert 5½ to improper fraction → 11/2

Step 2: Multiply by 1/3 → (11/2) × (1/3) = 11/6

Step 3: Convert to mixed number → 11 ÷ 6 = 1 R5 → 1⁵₆

✔ Sia used 1⁵⁄₆ lbs of fruit.

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Problem 4: Emily has a rectangular flower patch of length two and one-fifth yards and breadth three-fourths yard. Find the area of the patch.

Step 1: Convert 2⅕ to improper fraction → 11/5
Breadth = 3/4

Step 2: Multiply → (11/5) × (3/4) = 33/20

Step 3: Convert to mixed number → 33 ÷ 20 = 1 R13 → 1¹³⁄₂₀

✔ Area = 1¹³⁄₂₀ square yards

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Problem 5: Ben bought seven and one-third yards of fabric and used one-fifth of it to make a scarf. How much fabric did Ben use?

Step 1: Convert 7⅓ to improper fraction → 22/3

Step 2: Multiply by 1/5 → (22/3) × (1/5) = 22/15

Step 3: Convert to mixed number → 22 ÷ 15 = 1 R7 → 1⁷⁄₁₅

✔ Ben used 1⁷⁄₁₅ yards of fabric.

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Final Answer:
Amy used 1¾ lbs of flour.
Tom’s fabric area is 1¹⁄₁₂ sq in.
Sia used 1⁵₆ lbs of fruit.
Emily’s flower patch area is 1¹³⁄₂₀ sq yd.
Ben used 1⁷⁄₁₅ yards of fabric.