Math Fraction Worksheet-6 - skoolon.com - Free Printable

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

> To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

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

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1) $\frac{6}{9} \div \frac{1}{10}$

First simplify $\frac{6}{9} = \frac{2}{3}$

Now:
$$
\frac{2}{3} \div \frac{1}{10} = \frac{2}{3} \times \frac{10}{1} = \frac{20}{3} = 6\frac{2}{3}
$$

✔ Answer: $6\frac{2}{3}$

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2) $\frac{5}{6} \div \frac{1}{10}$

$$
\frac{5}{6} \times \frac{10}{1} = \frac{50}{6} = \frac{25}{3} = 8\frac{1}{3}
$$

✔ Answer: $8\frac{1}{3}$

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

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

✔ Answer: $\frac{2}{3}$

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4) $\frac{9}{10} \div \frac{2}{6}$

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

$$
\frac{9}{10} \div \frac{1}{3} = \frac{9}{10} \times \frac{3}{1} = \frac{27}{10} = 2\frac{7}{10}
$$

✔ Answer: $2\frac{7}{10}$

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5) $\frac{4}{6} \div \frac{1}{4}$

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

$$
\frac{2}{3} \div \frac{1}{4} = \frac{2}{3} \times \frac{4}{1} = \frac{8}{3} = 2\frac{2}{3}
$$

✔ Answer: $2\frac{2}{3}$

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6) $\frac{4}{10} \div \frac{1}{3}$

Simplify $\frac{4}{10} = \frac{2}{5}$

$$
\frac{2}{5} \div \frac{1}{3} = \frac{2}{5} \times \frac{3}{1} = \frac{6}{5} = 1\frac{1}{5}
$$

✔ Answer: $1\frac{1}{5}$

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7) $\frac{3}{6} \div \frac{2}{3}$

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

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

✔ Answer: $\frac{3}{4}$

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8) $\frac{1}{3} \div \frac{7}{9}$

$$
\frac{1}{3} \times \frac{9}{7} = \frac{9}{21} = \frac{3}{7}
$$

✔ Answer: $\frac{3}{7}$

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9) $\frac{1}{2} \div \frac{5}{6}$

$$
\frac{1}{2} \times \frac{6}{5} = \frac{6}{10} = \frac{3}{5}
$$

✔ Answer: $\frac{3}{5}$

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10) $\frac{7}{10} \div \frac{1}{3}$

$$
\frac{7}{10} \times \frac{3}{1} = \frac{21}{10} = 2\frac{1}{10}
$$

✔ Answer: $2\frac{1}{10}$

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✔ Final Answers:

1) $6\frac{2}{3}$
2) $8\frac{1}{3}$
3) $\frac{2}{3}$
4) $2\frac{7}{10}$
5) $2\frac{2}{3}$
6) $1\frac{1}{5}$
7) $\frac{3}{4}$
8) $\frac{3}{7}$
9) $\frac{3}{5}$
10) $2\frac{1}{10}$

Let me know if you'd like a printable version or explanation in simpler terms!