Dividing whole numbers by fractions worksheet for Grade 5 students.

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

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🔢 Key Concept:

To divide a whole number by a fraction, you multiply the whole number by the reciprocal of the fraction.

That is:
$$
\text{Whole Number} \div \frac{a}{b} = \text{Whole Number} \times \frac{b}{a}
$$

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Now let’s go through each problem:

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1. $ 1 \div \frac{3}{10} $

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

✔ Answer: $ \boxed{\frac{10}{3}} $ or $ \boxed{3\frac{1}{3}} $

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2. $ 6 \div \frac{1}{2} $

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

✔ Answer: $ \boxed{12} $

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3. $ 4 \div \frac{1}{6} $

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

✔ Answer: $ \boxed{24} $

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

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

✔ Answer: $ \boxed{6} $

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5. $ 9 \div \frac{4}{5} $

$$
= 9 \times \frac{5}{4} = \frac{45}{4} = 11\frac{1}{4}
$$

✔ Answer: $ \boxed{\frac{45}{4}} $ or $ \boxed{11\frac{1}{4}} $

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6. $ 2 \div \frac{8}{12} $

Simplify $ \frac{8}{12} = \frac{2}{3} $
$$
= 2 \div \frac{2}{3} = 2 \times \frac{3}{2} = 3
$$

✔ Answer: $ \boxed{3} $

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7. $ 7 \div \frac{6}{8} $

Simplify $ \frac{6}{8} = \frac{3}{4} $
$$
= 7 \div \frac{3}{4} = 7 \times \frac{4}{3} = \frac{28}{3} = 9\frac{1}{3}
$$

✔ Answer: $ \boxed{\frac{28}{3}} $ or $ \boxed{9\frac{1}{3}} $

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8. $ 6 \div \frac{3}{10} $

$$
= 6 \times \frac{10}{3} = \frac{60}{3} = 20
$$

✔ Answer: $ \boxed{20} $

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9. $ 1 \div \frac{8}{8} $

Note: $ \frac{8}{8} = 1 $
$$
= 1 \div 1 = 1
$$

✔ Answer: $ \boxed{1} $

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10. $ 6 \div \frac{4}{6} $

Simplify $ \frac{4}{6} = \frac{2}{3} $
$$
= 6 \div \frac{2}{3} = 6 \times \frac{3}{2} = \frac{18}{2} = 9
$$

✔ Answer: $ \boxed{9} $

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11. $ 8 \div \frac{11}{12} $

$$
= 8 \times \frac{12}{11} = \frac{96}{11} = 8\frac{8}{11}
$$

✔ Answer: $ \boxed{\frac{96}{11}} $ or $ \boxed{8\frac{8}{11}} $

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12. $ 2 \div \frac{1}{3} $

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

✔ Answer: $ \boxed{6} $

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13. $ 7 \div \frac{1}{5} $

$$
= 7 \times \frac{5}{1} = 35
$$

✔ Answer: $ \boxed{35} $

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14. $ 6 \div \frac{1}{4} $

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

✔ Answer: $ \boxed{24} $

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15. $ 7 \div \frac{1}{5} $

$$
= 7 \times \frac{5}{1} = 35
$$

✔ Answer: $ \boxed{35} $

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16. $ 9 \div \frac{8}{12} $

Simplify $ \frac{8}{12} = \frac{2}{3} $
$$
= 9 \div \frac{2}{3} = 9 \times \frac{3}{2} = \frac{27}{2} = 13\frac{1}{2}
$$

✔ Answer: $ \boxed{\frac{27}{2}} $ or $ \boxed{13\frac{1}{2}} $

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✔ Final Answers (in order):

| Problem | Answer |
|--------|--------|
| 1 | $ \frac{10}{3} $ or $ 3\frac{1}{3} $ |
| 2 | $ 12 $ |
| 3 | $ 24 $ |
| 4 | $ 6 $ |
| 5 | $ \frac{45}{4} $ or $ 11\frac{1}{4} $ |
| 6 | $ 3 $ |
| 7 | $ \frac{28}{3} $ or $ 9\frac{1}{3} $ |
| 8 | $ 20 $ |
| 9 | $ 1 $ |
| 10 | $ 9 $ |
| 11 | $ \frac{96}{11} $ or $ 8\frac{8}{11} $ |
| 12 | $ 6 $ |
| 13 | $ 35 $ |
| 14 | $ 24 $ |
| 15 | $ 35 $ |
| 16 | $ \frac{27}{2} $ or $ 13\frac{1}{2} $ |

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📝 Summary Tip:

When dividing a whole number by a fraction:
- Flip the fraction (find its reciprocal)
- Multiply the whole number by that reciprocal
- Simplify if needed

Let me know if you'd like this as a printable answer key!