Grade 4 - Comparing Fraction Worksheet 4 - Kidschoolz - Free Printable

Let's solve each of these fraction division problems step by step. The rule for dividing fractions is:

> To divide by a fraction, multiply by its reciprocal.

That is:
$$
\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}
$$

We'll go through each problem one by one.

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1) $\frac{2}{22} \div \frac{1}{2}$

$$
= \frac{2}{22} \times \frac{2}{1} = \frac{4}{22} = \frac{2}{11}
$$

✔ Answer: $\frac{2}{11}$

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2) $\frac{8}{19} \div \frac{7}{8}$

$$
= \frac{8}{19} \times \frac{8}{7} = \frac{64}{133}
$$

✔ Answer: $\frac{64}{133}$

---

3) $\frac{22}{23} \div \frac{3}{6}$

Note: $\frac{3}{6} = \frac{1}{2}$

$$
= \frac{22}{23} \div \frac{1}{2} = \frac{22}{23} \times 2 = \frac{44}{23}
$$

✔ Answer: $\frac{44}{23}$ (or $1\frac{21}{23}$)

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4) $\frac{5}{17} \div \frac{2}{3}$

$$
= \frac{5}{17} \times \frac{3}{2} = \frac{15}{34}
$$

✔ Answer: $\frac{15}{34}$

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5) $\frac{5}{7} \div \frac{5}{6}$

$$
= \frac{5}{7} \times \frac{6}{5} = \frac{30}{35} = \frac{6}{7}
$$

✔ Answer: $\frac{6}{7}$

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6) $\frac{41}{75} \div \frac{1}{2}$

$$
= \frac{41}{75} \times 2 = \frac{82}{75}
$$

✔ Answer: $\frac{82}{75}$ (or $1\frac{7}{75}$)

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7) $\frac{3}{4} \div \frac{5}{8}$

$$
= \frac{3}{4} \times \frac{8}{5} = \frac{24}{20} = \frac{6}{5}
$$

✔ Answer: $\frac{6}{5}$ (or $1\frac{1}{5}$)

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8) $\frac{2}{17} \div \frac{3}{4}$

$$
= \frac{2}{17} \times \frac{4}{3} = \frac{8}{51}
$$

✔ Answer: $\frac{8}{51}$

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9) $\frac{5}{13} \div \frac{5}{9}$

$$
= \frac{5}{13} \times \frac{9}{5} = \frac{45}{65} = \frac{9}{13}
$$

✔ Answer: $\frac{9}{13}$

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10) $\frac{26}{50} \div \frac{4}{5}$

Simplify $\frac{26}{50} = \frac{13}{25}$

$$
= \frac{13}{25} \div \frac{4}{5} = \frac{13}{25} \times \frac{5}{4} = \frac{65}{100} = \frac{13}{20}
$$

✔ Answer: $\frac{13}{20}$

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11) $\frac{5}{11} \div \frac{6}{10}$

Simplify $\frac{6}{10} = \frac{3}{5}$

$$
= \frac{5}{11} \div \frac{3}{5} = \frac{5}{11} \times \frac{5}{3} = \frac{25}{33}
$$

✔ Answer: $\frac{25}{33}$

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12) $\frac{3}{7} \div \frac{1}{3}$

$$
= \frac{3}{7} \times 3 = \frac{9}{7}
$$

✔ Answer: $\frac{9}{7}$ (or $1\frac{2}{7}$)

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13) $\frac{6}{25} \div \frac{1}{4}$

$$
= \frac{6}{25} \times 4 = \frac{24}{25}
$$

✔ Answer: $\frac{24}{25}$

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14) $\frac{2}{3} \div \frac{2}{7}$

$$
= \frac{2}{3} \times \frac{7}{2} = \frac{14}{6} = \frac{7}{3}
$$

✔ Answer: $\frac{7}{3}$ (or $2\frac{1}{3}$)

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15) $\frac{11}{19} \div \frac{1}{6}$

$$
= \frac{11}{19} \times 6 = \frac{66}{19}
$$

✔ Answer: $\frac{66}{19}$ (or $3\frac{9}{19}$)

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16) $\frac{27}{75} \div \frac{4}{5}$

Simplify $\frac{27}{75} = \frac{9}{25}$

$$
= \frac{9}{25} \div \frac{4}{5} = \frac{9}{25} \times \frac{5}{4} = \frac{45}{100} = \frac{9}{20}
$$

✔ Answer: $\frac{9}{20}$

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17) $\frac{3}{4} \div \frac{2}{4}$

Simplify $\frac{2}{4} = \frac{1}{2}$

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

✔ Answer: $\frac{3}{2}$ (or $1\frac{1}{2}$)

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18) $\frac{3}{12} \div \frac{2}{10}$

Simplify: $\frac{3}{12} = \frac{1}{4}$, $\frac{2}{10} = \frac{1}{5}$

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

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

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19) $\frac{28}{60} \div \frac{2}{11}$

Simplify $\frac{28}{60} = \frac{7}{15}$

$$
= \frac{7}{15} \div \frac{2}{11} = \frac{7}{15} \times \frac{11}{2} = \frac{77}{30}
$$

✔ Answer: $\frac{77}{30}$ (or $2\frac{17}{30}$)

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20) $\frac{4}{6} \div \frac{5}{12}$

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

$$
= \frac{2}{3} \div \frac{5}{12} = \frac{2}{3} \times \frac{12}{5} = \frac{24}{15} = \frac{8}{5}
$$

✔ Answer: $\frac{8}{5}$ (or $1\frac{3}{5}$)

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21) $\frac{39}{70} \div \frac{1}{11}$

$$
= \frac{39}{70} \times 11 = \frac{429}{70}
$$

✔ Answer: $\frac{429}{70}$ (or $6\frac{9}{70}$)

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22) $\frac{16}{18} \div \frac{2}{5}$

Simplify $\frac{16}{18} = \frac{8}{9}$

$$
= \frac{8}{9} \div \frac{2}{5} = \frac{8}{9} \times \frac{5}{2} = \frac{40}{18} = \frac{20}{9}
$$

✔ Answer: $\frac{20}{9}$ (or $2\frac{2}{9}$)

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23) $\frac{1}{2} \div \frac{3}{7}$

$$
= \frac{1}{2} \times \frac{7}{3} = \frac{7}{6}
$$

✔ Answer: $\frac{7}{6}$ (or $1\frac{1}{6}$)

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24) $\frac{2}{3} \div \frac{1}{2}$

$$
= \frac{2}{3} \times 2 = \frac{4}{3}
$$

✔ Answer: $\frac{4}{3}$ (or $1\frac{1}{3}$)

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## ✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1) | $\frac{2}{11}$ |
| 2) | $\frac{64}{133}$ |
| 3) | $\frac{44}{23}$ |
| 4) | $\frac{15}{34}$ |
| 5) | $\frac{6}{7}$ |
| 6) | $\frac{82}{75}$ |
| 7) | $\frac{6}{5}$ |
| 8) | $\frac{8}{51}$ |
| 9) | $\frac{9}{13}$ |
| 10) | $\frac{13}{20}$ |
| 11) | $\frac{25}{33}$ |
| 12) | $\frac{9}{7}$ |
| 13) | $\frac{24}{25}$ |
| 14) | $\frac{7}{3}$ |
| 15) | $\frac{66}{19}$ |
| 16) | $\frac{9}{20}$ |
| 17) | $\frac{3}{2}$ |
| 18) | $\frac{5}{4}$ |
| 19) | $\frac{77}{30}$ |
| 20) | $\frac{8}{5}$ |
| 21) | $\frac{429}{70}$ |
| 22) | $\frac{20}{9}$ |
| 23) | $\frac{7}{6}$ |
| 24) | $\frac{4}{3}$ |

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