Grade 5 Math Worksheets: Multiplying fractions by whole numbers ... - Free Printable

Let's solve each problem on the "Multiplying fractions by whole numbers" worksheet step by step.

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Concept:

To multiply a fraction by a whole number:
- Write the whole number as a fraction (e.g., $ 5 = \frac{5}{1} $).
- Multiply the numerators together.
- Multiply the denominators together.
- Simplify the result if needed.

Alternatively, you can multiply the whole number by the numerator of the fraction and keep the denominator the same.

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Now let's go through each problem:

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

$$
= \frac{1}{1} \times \frac{3}{4} = \frac{3}{4}
$$

✔ Answer: $ \frac{3}{4} $

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2. $ 9 \times \frac{7}{10} $

$$
= \frac{9}{1} \times \frac{7}{10} = \frac{63}{10} = 6\frac{3}{10}
$$

✔ Answer: $ 6\frac{3}{10} $

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3. $ 7 \times \frac{6}{8} $

First simplify $ \frac{6}{8} = \frac{3}{4} $

$$
7 \times \frac{3}{4} = \frac{21}{4} = 5\frac{1}{4}
$$

✔ Answer: $ 5\frac{1}{4} $

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4. $ \frac{5}{6} \text{ of } 2 $

This means $ \frac{5}{6} \times 2 $

$$
= \frac{5}{6} \times \frac{2}{1} = \frac{10}{6} = \frac{5}{3} = 1\frac{2}{3}
$$

✔ Answer: $ 1\frac{2}{3} $

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5. $ \frac{1}{12} \text{ of } 1 $

$$
= \frac{1}{12} \times 1 = \frac{1}{12}
$$

✔ Answer: $ \frac{1}{12} $

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6. $ \frac{3}{5} \text{ of } 2 $

$$
= \frac{3}{5} \times 2 = \frac{6}{5} = 1\frac{1}{5}
$$

✔ Answer: $ 1\frac{1}{5} $

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7. $ \frac{1}{3} \text{ of } 5 $

$$
= \frac{1}{3} \times 5 = \frac{5}{3} = 1\frac{2}{3}
$$

✔ Answer: $ 1\frac{2}{3} $

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8. $ \frac{3}{10} \text{ of } 8 $

$$
= \frac{3}{10} \times 8 = \frac{24}{10} = \frac{12}{5} = 2\frac{2}{5}
$$

✔ Answer: $ 2\frac{2}{5} $

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9. $ \frac{1}{8} \text{ of } 5 $

$$
= \frac{1}{8} \times 5 = \frac{5}{8}
$$

✔ Answer: $ \frac{5}{8} $

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10. $ \frac{3}{4} \text{ of } 9 $

$$
= \frac{3}{4} \times 9 = \frac{27}{4} = 6\frac{3}{4}
$$

✔ Answer: $ 6\frac{3}{4} $

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11. $ 8 \times \frac{3}{5} $

$$
= \frac{8}{1} \times \frac{3}{5} = \frac{24}{5} = 4\frac{4}{5}
$$

✔ Answer: $ 4\frac{4}{5} $

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12. $ 9 \times \frac{4}{6} $

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

$$
9 \times \frac{2}{3} = \frac{18}{3} = 6
$$

✔ Answer: $ 6 $

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13. $ \frac{3}{5} \text{ of } 5 $

$$
= \frac{3}{5} \times 5 = \frac{15}{5} = 3
$$

✔ Answer: $ 3 $

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14. $ 7 \times \frac{5}{10} $

Simplify $ \frac{5}{10} = \frac{1}{2} $

$$
7 \times \frac{1}{2} = \frac{7}{2} = 3\frac{1}{2}
$$

✔ Answer: $ 3\frac{1}{2} $

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15. $ \frac{2}{12} \text{ of } 9 $

Simplify $ \frac{2}{12} = \frac{1}{6} $

$$
\frac{1}{6} \times 9 = \frac{9}{6} = \frac{3}{2} = 1\frac{1}{2}
$$

✔ Answer: $ 1\frac{1}{2} $

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16. $ \frac{3}{9} \text{ of } 9 $

Simplify $ \frac{3}{9} = \frac{1}{3} $

$$
\frac{1}{3} \times 9 = 3
$$

✔ Answer: $ 3 $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | $ \frac{3}{4} $ |
| 2 | $ 6\frac{3}{10} $ |
| 3 | $ 5\frac{1}{4} $ |
| 4 | $ 1\frac{2}{3} $ |
| 5 | $ \frac{1}{12} $ |
| 6 | $ 1\frac{1}{5} $ |
| 7 | $ 1\frac{2}{3} $ |
| 8 | $ 2\frac{2}{5} $ |
| 9 | $ \frac{5}{8} $ |
| 10 | $ 6\frac{3}{4} $ |
| 11 | $ 4\frac{4}{5} $ |
| 12 | $ 6 $ |
| 13 | $ 3 $ |
| 14 | $ 3\frac{1}{2} $ |
| 15 | $ 1\frac{1}{2} $ |
| 16 | $ 3 $ |

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🔍 Tips:

- Always simplify fractions before multiplying.
- Remember that "of" means multiplication.
- Convert improper fractions to mixed numbers for final answers (as shown).

Let me know if you'd like this in printable format or with visual explanations!