Dividing Fractions Questions | Teacher-Made (teacher made) - Free Printable

It looks like you've uploaded a worksheet titled "Dividing by Fractions" with two columns of problems. The task is to solve each division problem involving fractions.

Let me walk through the process of solving these types of problems and then provide the solutions for all 10 problems on both sides of the worksheet.

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🔷 How to Divide by a Fraction

To divide by a fraction, follow this rule:

> "Keep, Change, Flip"
>
> - Keep the first fraction.
> - Change the division sign to multiplication.
> - Flip (invert) the second fraction.

Then multiply the two fractions and simplify if needed.

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✔ Let's Solve Each Problem

#### Left Side:

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

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

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

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

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

$$
= \frac{3}{4} \times \frac{3}{2} = \frac{9}{8} = 1\frac{1}{8}
$$

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

$$
= \frac{4}{5} \times \frac{6}{1} = \frac{24}{5} = 4\frac{4}{5}
$$

5. $ \frac{3}{8} \div \frac{2}{3} $

$$
= \frac{3}{8} \times \frac{3}{2} = \frac{9}{16}
$$

6. $ \frac{3}{8} \div \frac{1}{4} $

$$
= \frac{3}{8} \times \frac{4}{1} = \frac{12}{8} = \frac{3}{2} = 1\frac{1}{2}
$$

7. $ \frac{3}{2} \div \frac{1}{8} $

$$
= \frac{3}{2} \times \frac{8}{1} = \frac{24}{2} = 12
$$

8. $ 4\frac{1}{2} \div \frac{5}{8} $

First convert mixed number:
$$
4\frac{1}{2} = \frac{9}{2}
$$
Now divide:
$$
\frac{9}{2} \div \frac{5}{8} = \frac{9}{2} \times \frac{8}{5} = \frac{72}{10} = \frac{36}{5} = 7\frac{1}{5}
$$

9. $ \frac{2}{3} \div \frac{2}{5} $

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

10. $ \frac{3}{4} \div \frac{1}{2} $

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

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1. $ \frac{1}{2} \div \frac{2}{3} $ | $ \frac{3}{4} $ |
| 2. $ \frac{1}{8} \div \frac{1}{4} $ | $ \frac{1}{2} $ |
| 3. $ \frac{3}{4} \div \frac{2}{3} $ | $ \frac{9}{8} $ or $ 1\frac{1}{8} $ |
| 4. $ \frac{4}{5} \div \frac{1}{6} $ | $ \frac{24}{5} $ or $ 4\frac{4}{5} $ |
| 5. $ \frac{3}{8} \div \frac{2}{3} $ | $ \frac{9}{16} $ |
| 6. $ \frac{3}{8} \div \frac{1}{4} $ | $ \frac{3}{2} $ or $ 1\frac{1}{2} $ |
| 7. $ \frac{3}{2} \div \frac{1}{8} $ | $ 12 $ |
| 8. $ 4\frac{1}{2} \div \frac{5}{8} $ | $ \frac{36}{5} $ or $ 7\frac{1}{5} $ |
| 9. $ \frac{2}{3} \div \frac{2}{5} $ | $ \frac{5}{3} $ or $ 1\frac{2}{3} $ |
| 10. $ \frac{3}{4} \div \frac{1}{2} $ | $ \frac{3}{2} $ or $ 1\frac{1}{2} $ |

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🎨 Notes:

- The worksheet includes a coloring activity (indicated by the "B&W and Color" label), so after solving, students might color based on answers.
- The image has a logo at the bottom left — possibly from an educational resource provider.

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✔ Summary:
You can now fill in the blanks on the worksheet with the correct answers above. Each answer was found using the "Keep, Change, Flip" method for dividing fractions.

Let me know if you'd like a printable version or help with coloring codes!