Irrational Numbers Worksheets - 15 Worksheets Library - Free Printable

Let's solve each of these problems step by step. The task is to convert each rational number (given as a fraction) into its decimal form.

We’ll simplify the fractions first if possible, then divide the numerator by the denominator to get the decimal.

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1) $-\frac{20}{50}$

- Simplify: $ \frac{20}{50} = \frac{2}{5} $
- $ \frac{2}{5} = 0.4 $
- So, $-\frac{20}{50} = -0.4$

✔ Answer: -0.4

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2) $\frac{18}{-24}$

- This is the same as $-\frac{18}{24}$
- Simplify: $ \frac{18}{24} = \frac{3}{4} $
- $ \frac{3}{4} = 0.75 $
- So, $-\frac{18}{24} = -0.75$

✔ Answer: -0.75

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3) $-\frac{36}{80}$

- Simplify: $ \frac{36}{80} = \frac{9}{20} $
- $ \frac{9}{20} = 0.45 $
- So, $-\frac{36}{80} = -0.45$

✔ Answer: -0.45

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4) $\frac{22}{40}$

- Simplify: $ \frac{22}{40} = \frac{11}{20} $
- $ \frac{11}{20} = 0.55 $

✔ Answer: 0.55

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5) $-\frac{70}{160}$

- Simplify: $ \frac{70}{160} = \frac{7}{16} $
- $ \frac{7}{16} = 0.4375 $
- So, $-\frac{70}{160} = -0.4375$

✔ Answer: -0.4375

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6) $\frac{48}{64}$

- Simplify: $ \frac{48}{64} = \frac{3}{4} $
- $ \frac{3}{4} = 0.75 $

✔ Answer: 0.75

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7) $-\frac{25}{50}$

- Simplify: $ \frac{25}{50} = \frac{1}{2} $
- $ \frac{1}{2} = 0.5 $
- So, $-\frac{25}{50} = -0.5$

✔ Answer: -0.5

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8) $\frac{11}{25}$

- $ \frac{11}{25} = 0.44 $ (since $ \frac{1}{25} = 0.04 $, so $ 11 \times 0.04 = 0.44 $)

✔ Answer: 0.44

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9) $\frac{52}{64}$

- Simplify: $ \frac{52}{64} = \frac{13}{16} $
- $ \frac{13}{16} = 0.8125 $

✔ Answer: 0.8125

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10) $\frac{48}{80}$

- Simplify: $ \frac{48}{80} = \frac{3}{5} $
- $ \frac{3}{5} = 0.6 $

✔ Answer: 0.6

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11) $\frac{32}{50}$

- Simplify: $ \frac{32}{50} = \frac{16}{25} $
- $ \frac{16}{25} = 0.64 $

✔ Answer: 0.64

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12) $\frac{9}{24}$

- Simplify: $ \frac{9}{24} = \frac{3}{8} $
- $ \frac{3}{8} = 0.375 $

✔ Answer: 0.375

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13) $\frac{55}{80}$

- Simplify: $ \frac{55}{80} = \frac{11}{16} $
- $ \frac{11}{16} = 0.6875 $

✔ Answer: 0.6875

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14) $\frac{12}{64}$

- Simplify: $ \frac{12}{64} = \frac{3}{16} $
- $ \frac{3}{16} = 0.1875 $

✔ Answer: 0.1875

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15) $\frac{98}{160}$

- Simplify: $ \frac{98}{160} = \frac{49}{80} $
- Now divide: $ 49 ÷ 80 = 0.6125 $

✔ Answer: 0.6125

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16) $\frac{12}{50}$

- Simplify: $ \frac{12}{50} = \frac{6}{25} $
- $ \frac{6}{25} = 0.24 $

✔ Answer: 0.24

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✔ Final Answers:

| Problem | Answer |
|--------|------------|
| 1) | -0.4 |
| 2) | -0.75 |
| 3) | -0.45 |
| 4) | 0.55 |
| 5) | -0.4375 |
| 6) | 0.75 |
| 7) | -0.5 |
| 8) | 0.44 |
| 9) | 0.8125 |
| 10) | 0.6 |
| 11) | 0.64 |
| 12) | 0.375 |
| 13) | 0.6875 |
| 14) | 0.1875 |
| 15) | 0.6125 |
| 16) | 0.24 |

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💡 Note: All these numbers are rational, because they can be expressed as fractions of integers and their decimal forms either terminate or repeat (in this case, all terminate).

Let me know if you'd like a printable version or explanation of how to convert fractions to decimals!