Grade 5Math Worksheets: Dividing fractions by whole numbers | Worsheets library... - Free Printable

Let's solve each problem on the "Dividing Fractions by Whole Numbers" worksheet step by step.

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🔹 Rule to Remember:

To divide a fraction by a whole number:
1. Keep the fraction as it is.
2. Divide the numerator by the whole number (or multiply the denominator by the whole number).
3. Simplify if needed.

Alternatively, you can think of it as:
> $$
> \frac{a}{b} \div c = \frac{a}{b \times c}
> $$

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Now let’s solve each one:

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1. $ \frac{2}{3} \div 3 $

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

✔ Answer: $ \frac{2}{9} $

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2. $ \frac{1}{8} \div 8 $

$$
= \frac{1}{8 \times 8} = \frac{1}{64}
$$

✔ Answer: $ \frac{1}{64} $

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3. $ \frac{1}{6} \div 6 $

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

✔ Answer: $ \frac{1}{36} $

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4. $ \frac{5}{6} \div 6 $

$$
= \frac{5}{6 \times 6} = \frac{5}{36}
$$

✔ Answer: $ \frac{5}{36} $

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5. $ \frac{1}{3} \div 5 $

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

✔ Answer: $ \frac{1}{15} $

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6. $ \frac{2}{10} \div 9 $

First simplify $ \frac{2}{10} = \frac{1}{5} $

Then:
$$
\frac{1}{5} \div 9 = \frac{1}{5 \times 9} = \frac{1}{45}
$$

✔ Answer: $ \frac{1}{45} $

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7. $ \frac{1}{2} \div 7 $

$$
= \frac{1}{2 \times 7} = \frac{1}{14}
$$

✔ Answer: $ \frac{1}{14} $

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8. $ \frac{1}{4} \div 2 $

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

✔ Answer: $ \frac{1}{8} $

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9. $ \frac{7}{12} \div 8 $

$$
= \frac{7}{12 \times 8} = \frac{7}{96}
$$

✔ Answer: $ \frac{7}{96} $

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10. $ \frac{1}{9} \div 7 $

$$
= \frac{1}{9 \times 7} = \frac{1}{63}
$$

✔ Answer: $ \frac{1}{63} $

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11. $ \frac{1}{2} \div 4 $

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

✔ Answer: $ \frac{1}{8} $

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12. $ \frac{10}{3} \div 3 $

$$
= \frac{10}{3 \times 3} = \frac{10}{9}
$$

This is an improper fraction. Can be written as $ 1 \frac{1}{9} $

✔ Answer: $ \frac{10}{9} $ or $ 1 \frac{1}{9} $

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13. $ \frac{1}{4} \div 6 $

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

✔ Answer: $ \frac{1}{24} $

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14. $ \frac{11}{12} \div 6 $

$$
= \frac{11}{12 \times 6} = \frac{11}{72}
$$

✔ Answer: $ \frac{11}{72} $

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15. $ \frac{2}{3} \div 4 $

$$
= \frac{2}{3 \times 4} = \frac{2}{12} = \frac{1}{6}
$$

✔ Answer: $ \frac{1}{6} $

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16. $ \frac{5}{8} \div 4 $

$$
= \frac{5}{8 \times 4} = \frac{5}{32}
$$

✔ Answer: $ \frac{5}{32} $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | $ \frac{2}{9} $ |
| 2 | $ \frac{1}{64} $ |
| 3 | $ \frac{1}{36} $ |
| 4 | $ \frac{5}{36} $ |
| 5 | $ \frac{1}{15} $ |
| 6 | $ \frac{1}{45} $ |
| 7 | $ \frac{1}{14} $ |
| 8 | $ \frac{1}{8} $ |
| 9 | $ \frac{7}{96} $ |
| 10 | $ \frac{1}{63} $ |
| 11 | $ \frac{1}{8} $ |
| 12 | $ \frac{10}{9} $ or $ 1\frac{1}{9} $ |
| 13 | $ \frac{1}{24} $ |
| 14 | $ \frac{11}{72} $ |
| 15 | $ \frac{1}{6} $ |
| 16 | $ \frac{5}{32} $ |

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📝 Summary Tip:

When dividing a fraction by a whole number, just multiply the denominator by the whole number, and keep the numerator the same. Then simplify if possible.

Let me know if you'd like this printed out or formatted for a student!