Fractions of a Whole Number Worksheets - 15 Worksheets Library - Free Printable

Let's solve each problem step by step. The task is to find the fraction of a number, which means we need to multiply the fraction by the whole number.

The general rule is:

> Fraction of a number = (Numerator / Denominator) × Number

We’ll simplify fractions when possible and compute each answer.

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1) $\frac{2}{7}$ of 35

$$
\frac{2}{7} \times 35 = \frac{2 \times 35}{7} = \frac{70}{7} = 10
$$

✔ Answer: 10

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2) $\frac{3}{15}$ of 24

First, simplify $\frac{3}{15} = \frac{1}{5}$

$$
\frac{1}{5} \times 24 = \frac{24}{5} = 4.8
$$

But since this is likely expecting a fraction or simplified form:
$$
\frac{24}{5} = 4\frac{4}{5}
$$

But let’s keep it as a decimal unless specified.

Alternatively, if we don’t simplify first:
$$
\frac{3}{15} \times 24 = \frac{72}{15} = \frac{24}{5} = 4.8
$$

✔ Answer: 4.8 or $ \frac{24}{5} $

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3) $\frac{2}{12}$ of 40

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

$$
\frac{1}{6} \times 40 = \frac{40}{6} = \frac{20}{3} \approx 6.67
$$

Or $6\frac{2}{3}$

✔ Answer: $ \frac{20}{3} $ or $6\frac{2}{3}$

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4) $\frac{4}{24}$ of 36

Simplify $\frac{4}{24} = \frac{1}{6}$

$$
\frac{1}{6} \times 36 = 6
$$

✔ Answer: 6

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5) $\frac{5}{21}$ of 15

$$
\frac{5}{21} \times 15 = \frac{75}{21} = \frac{25}{7} \approx 3.57
$$

Or $3\frac{4}{7}$

✔ Answer: $ \frac{25}{7} $ or $3\frac{4}{7}$

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6) $\frac{7}{15}$ of 25

$$
\frac{7}{15} \times 25 = \frac{175}{15} = \frac{35}{3} \approx 11.67
$$

Or $11\frac{2}{3}$

✔ Answer: $ \frac{35}{3} $ or $11\frac{2}{3}$

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7) $\frac{3}{16}$ of 12

$$
\frac{3}{16} \times 12 = \frac{36}{16} = \frac{9}{4} = 2.25
$$

Or $2\frac{1}{4}$

✔ Answer: $ \frac{9}{4} $ or $2\frac{1}{4}$

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8) $\frac{5}{18}$ of 21

$$
\frac{5}{18} \times 21 = \frac{105}{18} = \frac{35}{6} \approx 5.83
$$

Or $5\frac{5}{6}$

✔ Answer: $ \frac{35}{6} $ or $5\frac{5}{6}$

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9) $\frac{7}{20}$ of 15

$$
\frac{7}{20} \times 15 = \frac{105}{20} = \frac{21}{4} = 5.25
$$

Or $5\frac{1}{4}$

✔ Answer: $ \frac{21}{4} $ or $5\frac{1}{4}$

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10) $\frac{5}{12}$ of 16

$$
\frac{5}{12} \times 16 = \frac{80}{12} = \frac{20}{3} \approx 6.67
$$

Or $6\frac{2}{3}$

✔ Answer: $ \frac{20}{3} $ or $6\frac{2}{3}$

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11) $\frac{3}{16}$ of 12

$$
\frac{3}{16} \times 12 = \frac{36}{16} = \frac{9}{4} = 2.25
$$

Or $2\frac{1}{4}$

✔ Answer: $ \frac{9}{4} $ or $2\frac{1}{4}$

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12) $\frac{5}{25}$ of 15

Simplify $\frac{5}{25} = \frac{1}{5}$

$$
\frac{1}{5} \times 15 = 3
$$

✔ Answer: 3

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1) | 10 |
| 2) | $ \frac{24}{5} $ or 4.8 |
| 3) | $ \frac{20}{3} $ or $6\frac{2}{3}$ |
| 4) | 6 |
| 5) | $ \frac{25}{7} $ or $3\frac{4}{7}$ |
| 6) | $ \frac{35}{3} $ or $11\frac{2}{3}$ |
| 7) | $ \frac{9}{4} $ or $2\frac{1}{4}$ |
| 8) | $ \frac{35}{6} $ or $5\frac{5}{6}$ |
| 9) | $ \frac{21}{4} $ or $5\frac{1}{4}$ |
| 10) | $ \frac{20}{3} $ or $6\frac{2}{3}$ |
| 11) | $ \frac{9}{4} $ or $2\frac{1}{4}$ |
| 12) | 3 |

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🔍 Explanation Summary:

To find a fraction of a number, you multiply the fraction by the number:
$$
\text{Result} = \frac{a}{b} \times c = \frac{a \times c}{b}
$$

Then simplify the result (reduce fraction or convert to mixed number).

Always simplify fractions before multiplying when possible — it makes calculations easier.

Let me know if you'd like these answers in mixed numbers or decimals!