Multiplying and Dividing Fractions 2 worksheet with 20 problems for practice.

Let's solve the "Multiplying and Dividing Fractions 2" worksheet step by step.

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Instructions:

Solve each problem. Show your work on a separate sheet of paper. Simplify answers if needed.

We'll go through each problem, show the steps, and give simplified answers.

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Problem 1:

1) $ \frac{3}{5} \times \frac{4}{7} = ? $

Multiply numerators: $ 3 \times 4 = 12 $
Multiply denominators: $ 5 \times 7 = 35 $
So: $ \frac{12}{35} $

✔ Already in simplest form.

Answer: $ \frac{12}{35} $

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Problem 2:

2) $ \frac{6}{9} \div \frac{2}{3} = ? $

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

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

Answer: $ 1 $

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Problem 3:

3) $ \frac{1}{8} \times \frac{1}{5} = ? $

$ \frac{1 \times 1}{8 \times 5} = \frac{1}{40} $

Answer: $ \frac{1}{40} $

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Problem 4:

4) $ \frac{3}{4} \div \frac{1}{6} = ? $

Divide: $ \frac{3}{4} \times \frac{6}{1} = \frac{18}{4} = \frac{9}{2} $

Convert to mixed number: $ 4\frac{1}{2} $

Answer: $ \frac{9}{2} $ or $ 4\frac{1}{2} $

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Problem 5:

5) $ \frac{5}{6} \times \frac{3}{10} = ? $

$ \frac{5 \times 3}{6 \times 10} = \frac{15}{60} = \frac{1}{4} $

Answer: $ \frac{1}{4} $

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Problem 6:

6) $ \frac{4}{5} \div \frac{1}{10} = ? $

$ \frac{4}{5} \times \frac{10}{1} = \frac{40}{5} = 8 $

Answer: $ 8 $

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Problem 7:

7) $ \frac{1}{2} \times \frac{1}{3} = ? $

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

Answer: $ \frac{1}{6} $

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Problem 8:

8) $ \frac{2}{5} \div \frac{1}{5} = ? $

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

Answer: $ 2 $

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Problem 9:

9) $ \frac{5}{6} \times \frac{1}{2} = ? $

$ \frac{5 \times 1}{6 \times 2} = \frac{5}{12} $

Answer: $ \frac{5}{12} $

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Problem 10:

10) $ \frac{1}{4} \div \frac{1}{2} = ? $

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

Answer: $ \frac{1}{2} $

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Problem 11:

11) $ \frac{5}{8} \times \frac{1}{4} = ? $

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

Answer: $ \frac{5}{32} $

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Problem 12:

12) $ \frac{2}{3} \div \frac{1}{6} = ? $

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

Answer: $ 4 $

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Problem 13:

13) $ \frac{1}{3} \times \frac{1}{5} = ? $

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

Answer: $ \frac{1}{15} $

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Problem 14:

14) $ \frac{1}{2} \div \frac{1}{4} = ? $

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

Answer: $ 2 $

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Problem 15:

15) $ \frac{1}{2} \times \frac{2}{5} = ? $

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

Answer: $ \frac{1}{5} $

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Problem 16:

16) $ \frac{3}{4} \div \frac{1}{8} = ? $

$ \frac{3}{4} \times \frac{8}{1} = \frac{24}{4} = 6 $

Answer: $ 6 $

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Problem 17:

17) $ \frac{3}{4} \times \frac{1}{3} = ? $

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

Answer: $ \frac{1}{4} $

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Problem 18:

18) $ \frac{1}{2} \div \frac{1}{8} = ? $

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

Answer: $ 4 $

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Problem 19:

19) $ \frac{1}{2} \times \frac{1}{4} = ? $

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

Answer: $ \frac{1}{8} $

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Problem 20:

20) $ \frac{1}{2} \div \frac{1}{4} = ? $

Same as Problem 14: $ \frac{1}{2} \times \frac{4}{1} = 2 $

Answer: $ 2 $

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Problem 21:

21) $ \frac{3}{4} \times \frac{2}{3} = ? $

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

Answer: $ \frac{1}{2} $

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Problem 22:

22) $ \frac{2}{3} \div \frac{1}{3} = ? $

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

Answer: $ 2 $

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Problem 23:

23) $ \frac{1}{4} \times \frac{1}{2} = ? $

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

Answer: $ \frac{1}{8} $

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Problem 24:

24) $ \frac{3}{4} \div \frac{1}{2} = ? $

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

Answer: $ \frac{3}{2} $ or $ 1\frac{1}{2} $

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Problem 25:

25) $ \frac{1}{4} \times \frac{1}{4} = ? $

$ \frac{1 \times 1}{4 \times 4} = \frac{1}{16} $

Answer: $ \frac{1}{16} $

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Problem 26:

26) $ \frac{3}{4} \div \frac{1}{4} = ? $

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

Answer: $ 3 $

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## ✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | $ \frac{12}{35} $ |
| 2 | $ 1 $ |
| 3 | $ \frac{1}{40} $ |
| 4 | $ \frac{9}{2} $ or $ 4\frac{1}{2} $ |
| 5 | $ \frac{1}{4} $ |
| 6 | $ 8 $ |
| 7 | $ \frac{1}{6} $ |
| 8 | $ 2 $ |
| 9 | $ \frac{5}{12} $ |
| 10 | $ \frac{1}{2} $ |
| 11 | $ \frac{5}{32} $ |
| 12 | $ 4 $ |
| 13 | $ \frac{1}{15} $ |
| 14 | $ 2 $ |
| 15 | $ \frac{1}{5} $ |
| 16 | $ 6 $ |
| 17 | $ \frac{1}{4} $ |
| 18 | $ 4 $ |
| 19 | $ \frac{1}{8} $ |
| 20 | $ 2 $ |
| 21 | $ \frac{1}{2} $ |
| 22 | $ 2 $ |
| 23 | $ \frac{1}{8} $ |
| 24 | $ \frac{3}{2} $ or $ 1\frac{1}{2} $ |
| 25 | $ \frac{1}{16} $ |
| 26 | $ 3 $ |

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🔍 Key Concepts Used:

- Multiplying fractions: Multiply numerators and denominators.
- Dividing fractions: Multiply by the reciprocal of the divisor.
- Always simplify final answers (reduce fractions).
- Convert improper fractions to mixed numbers when appropriate.

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