Dividing fractions by whole numbers worksheet for Grade 5 students.

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

🔷 Key Concept:

To divide a fraction by a whole number, you can follow these steps:

1. Write the whole number as a fraction (e.g., 3 = 3/1).
2. Multiply the fraction by the reciprocal of the whole number.
- That is:
$$
\frac{a}{b} \div c = \frac{a}{b} \times \frac{1}{c}
$$

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Now let’s go through each problem:

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

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

✔ Answer: $ \frac{2}{9} $

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

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

✔ Answer: $ \frac{1}{64} $

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

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

✔ Answer: $ \frac{1}{36} $

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4. $ \frac{3}{5} \div 6 $

$$
\frac{3}{5} \div 6 = \frac{3}{5} \times \frac{1}{6} = \frac{3}{30} = \frac{1}{10}
$$

✔ Answer: $ \frac{1}{10} $

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

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

✔ Answer: $ \frac{1}{15} $

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

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

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

✔ Answer: $ \frac{1}{45} $

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

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

✔ Answer: $ \frac{1}{14} $

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

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

✔ Answer: $ \frac{1}{8} $

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

$$
\frac{7}{12} \div 8 = \frac{7}{12} \times \frac{1}{8} = \frac{7}{96}
$$

✔ Answer: $ \frac{7}{96} $

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

$$
\frac{1}{7} \div 7 = \frac{1}{7} \times \frac{1}{7} = \frac{1}{49}
$$

✔ Answer: $ \frac{1}{49} $

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

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

✔ Answer: $ \frac{1}{8} $

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

$$
\frac{10}{3} \div 3 = \frac{10}{3} \times \frac{1}{3} = \frac{10}{9}
$$

This is an improper fraction. You can write it as a mixed number: $ 1 \frac{1}{9} $

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

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

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

✔ Answer: $ \frac{1}{24} $

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

$$
\frac{11}{12} \div 6 = \frac{11}{12} \times \frac{1}{6} = \frac{11}{72}
$$

✔ Answer: $ \frac{11}{72} $

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

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

✔ Answer: $ \frac{1}{6} $

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

$$
\frac{5}{8} \div 4 = \frac{5}{8} \times \frac{1}{4} = \frac{5}{32}
$$

✔ 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{1}{10} $ |
| 5 | $ \frac{1}{15} $ |
| 6 | $ \frac{1}{45} $ |
| 7 | $ \frac{1}{14} $ |
| 8 | $ \frac{1}{8} $ |
| 9 | $ \frac{7}{96} $ |
| 10 | $ \frac{1}{49} $ |
| 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:
- Multiply the fraction by the reciprocal of the whole number.
- Simplify if needed.

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