Worksheets for fraction multiplication - Free Printable

Let’s solve each problem step by step. We’re multiplying whole numbers by mixed numbers (or sometimes two mixed numbers). The best way is to turn the mixed number into an improper fraction first, then multiply.

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1a. $ 4 \frac{1}{4} \times 6 $

Convert $ 4 \frac{1}{4} $ to improper fraction:
$ 4 \times 4 + 1 = 17 $, so $ \frac{17}{4} $

Now multiply:
$ \frac{17}{4} \times 6 = \frac{17 \times 6}{4} = \frac{102}{4} $

Simplify: divide numerator and denominator by 2 → $ \frac{51}{2} = 25 \frac{1}{2} $

✔ Answer: $ 25 \frac{1}{2} $

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1b. $ 1 \frac{5}{6} \times 6 $

Convert $ 1 \frac{5}{6} $: $ 1 \times 6 + 5 = 11 $, so $ \frac{11}{6} $

Multiply: $ \frac{11}{6} \times 6 = \frac{11 \times 6}{6} = 11 $

✔ Answer: 11

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2a. $ 5 \times 9 \frac{3}{8} $

Convert $ 9 \frac{3}{8} $: $ 9 \times 8 + 3 = 75 $, so $ \frac{75}{8} $

Multiply: $ 5 \times \frac{75}{8} = \frac{375}{8} $

Divide: 375 ÷ 8 = 46 with remainder 3 → $ 46 \frac{3}{8} $

✔ Answer: $ 46 \frac{3}{8} $

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2b. $ 6 \times 6 \frac{2}{3} $

Convert $ 6 \frac{2}{3} $: $ 6 \times 3 + 2 = 20 $, so $ \frac{20}{3} $

Multiply: $ 6 \times \frac{20}{3} = \frac{120}{3} = 40 $

✔ Answer: 40

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3a. $ 10 \frac{2}{6} \times 3 $

First simplify $ \frac{2}{6} = \frac{1}{3} $, so it’s $ 10 \frac{1}{3} $

Convert: $ 10 \times 3 + 1 = 31 $, so $ \frac{31}{3} $

Multiply: $ \frac{31}{3} \times 3 = 31 $

✔ Answer: 31

*(Note: You could also do 10 × 3 = 30, and $ \frac{2}{6} \times 3 = 1 $, total 31 — same result!)*

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3b. $ 4 \times 3 \frac{2}{6} $

Simplify $ \frac{2}{6} = \frac{1}{3} $, so $ 3 \frac{1}{3} $

Convert: $ 3 \times 3 + 1 = 10 $, so $ \frac{10}{3} $

Multiply: $ 4 \times \frac{10}{3} = \frac{40}{3} = 13 \frac{1}{3} $

✔ Answer: $ 13 \frac{1}{3} $

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4a. $ 1 \frac{1}{2} \times 4 $

Convert: $ 1 \frac{1}{2} = \frac{3}{2} $

Multiply: $ \frac{3}{2} \times 4 = \frac{12}{2} = 6 $

✔ Answer: 6

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4b. $ 6 \times 1 \frac{3}{4} $

Convert: $ 1 \frac{3}{4} = \frac{7}{4} $

Multiply: $ 6 \times \frac{7}{4} = \frac{42}{4} = \frac{21}{2} = 10 \frac{1}{2} $

✔ Answer: $ 10 \frac{1}{2} $

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5a. $ 2 \times 6 \frac{4}{8} $

Simplify $ \frac{4}{8} = \frac{1}{2} $, so $ 6 \frac{1}{2} $

Convert: $ 6 \times 2 + 1 = 13 $, so $ \frac{13}{2} $

Multiply: $ 2 \times \frac{13}{2} = 13 $

✔ Answer: 13

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5b. $ 9 \frac{5}{6} \times 4 $

Convert: $ 9 \times 6 + 5 = 59 $, so $ \frac{59}{6} $

Multiply: $ \frac{59}{6} \times 4 = \frac{236}{6} $

Simplify: divide numerator and denominator by 2 → $ \frac{118}{3} = 39 \frac{1}{3} $

✔ Answer: $ 39 \frac{1}{3} $

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6a. $ 3 \frac{2}{4} \times 5 $

Simplify $ \frac{2}{4} = \frac{1}{2} $, so $ 3 \frac{1}{2} $

Convert: $ 3 \times 2 + 1 = 7 $, so $ \frac{7}{2} $

Multiply: $ \frac{7}{2} \times 5 = \frac{35}{2} = 17 \frac{1}{2} $

✔ Answer: $ 17 \frac{1}{2} $

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6b. $ 2 \times 11 \frac{1}{2} $

Convert: $ 11 \frac{1}{2} = \frac{23}{2} $

Multiply: $ 2 \times \frac{23}{2} = 23 $

✔ Answer: 23

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7a. $ 5 \times 1 \frac{5}{8} $

Convert: $ 1 \frac{5}{8} = \frac{13}{8} $

Multiply: $ 5 \times \frac{13}{8} = \frac{65}{8} = 8 \frac{1}{8} $

✔ Answer: $ 8 \frac{1}{8} $

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7b. $ 4 \times 7 \frac{4}{6} $

Simplify $ \frac{4}{6} = \frac{2}{3} $, so $ 7 \frac{2}{3} $

Convert: $ 7 \times 3 + 2 = 23 $, so $ \frac{23}{3} $

Multiply: $ 4 \times \frac{23}{3} = \frac{92}{3} = 30 \frac{2}{3} $

✔ Answer: $ 30 \frac{2}{3} $

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8a. $ 4 \frac{4}{6} \times 5 $

Simplify $ \frac{4}{6} = \frac{2}{3} $, so $ 4 \frac{2}{3} $

Convert: $ 4 \times 3 + 2 = 14 $, so $ \frac{14}{3} $

Multiply: $ \frac{14}{3} \times 5 = \frac{70}{3} = 23 \frac{1}{3} $

✔ Answer: $ 23 \frac{1}{3} $

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8b. $ 6 \frac{1}{8} \times 6 $

Convert: $ 6 \times 8 + 1 = 49 $, so $ \frac{49}{8} $

Multiply: $ \frac{49}{8} \times 6 = \frac{294}{8} $

Simplify: divide numerator and denominator by 2 → $ \frac{147}{4} = 36 \frac{3}{4} $

✔ Answer: $ 36 \frac{3}{4} $

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Final Answer:
1a. $ 25 \frac{1}{2} $
1b. 11
2a. $ 46 \frac{3}{8} $
2b. 40
3a. 31
3b. $ 13 \frac{1}{3} $
4a. 6
4b. $ 10 \frac{1}{2} $
5a. 13
5b. $ 39 \frac{1}{3} $
6a. $ 17 \frac{1}{2} $
6b. 23
7a. $ 8 \frac{1}{8} $
7b. $ 30 \frac{2}{3} $
8a. $ 23 \frac{1}{3} $
8b. $ 36 \frac{3}{4} $