Multiplying whole numbers by fractions worksheet with ten practice problems.

Let's solve each problem step by step. The task is to multiply a whole number by a fraction. The rule is:

> Multiply the whole number by the numerator of the fraction, and keep the denominator the same.

Then simplify if needed, or convert to a mixed number if appropriate.

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1) $ 1 \times \frac{2}{3} $

- $ 1 \times \frac{2}{3} = \frac{2}{3} $

✔ Answer: $ \frac{2}{3} $

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2) $ 7 \times \frac{1}{6} $

- $ 7 \times \frac{1}{6} = \frac{7}{6} $
- Simplify: $ \frac{7}{6} = 1 \frac{1}{6} $

✔ Answer: $ 1 \frac{1}{6} $

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3) $ 6 \times \frac{5}{3} $

- $ 6 \times \frac{5}{3} = \frac{30}{3} = 10 $

✔ Answer: $ 10 $

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4) $ 8 \times \frac{4}{5} $

- $ 8 \times \frac{4}{5} = \frac{32}{5} $
- Convert to mixed number: $ \frac{32}{5} = 6 \frac{2}{5} $

✔ Answer: $ 6 \frac{2}{5} $

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5) $ 7 \times \frac{4}{4} $

- $ \frac{4}{4} = 1 $, so $ 7 \times 1 = 7 $

✔ Answer: $ 7 $

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6) $ 6 \times \frac{4}{7} $

- $ 6 \times \frac{4}{7} = \frac{24}{7} $
- Convert to mixed number: $ \frac{24}{7} = 3 \frac{3}{7} $

✔ Answer: $ 3 \frac{3}{7} $

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7) $ 8 \times \frac{3}{4} $

- $ 8 \times \frac{3}{4} = \frac{24}{4} = 6 $

✔ Answer: $ 6 $

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8) $ 6 \times \frac{7}{2} $

- $ 6 \times \frac{7}{2} = \frac{42}{2} = 21 $

✔ Answer: $ 21 $

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9) $ 3 \times \frac{1}{5} $

- $ 3 \times \frac{1}{5} = \frac{3}{5} $

✔ Answer: $ \frac{3}{5} $

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10) $ 4 \times \frac{1}{8} $

- $ 4 \times \frac{1}{8} = \frac{4}{8} = \frac{1}{2} $

✔ Answer: $ \frac{1}{2} $

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✔ Final Answers:

1) $ \frac{2}{3} $
2) $ 1 \frac{1}{6} $
3) $ 10 $
4) $ 6 \frac{2}{5} $
5) $ 7 $
6) $ 3 \frac{3}{7} $
7) $ 6 $
8) $ 21 $
9) $ \frac{3}{5} $
10) $ \frac{1}{2} $

Let me know if you'd like these explained in more detail!