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 (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} $
Now divide: $ -2 \div 5 = -0.4 $
✔ Answer: -0.4

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

Simplify:
$ \frac{-18}{24} = \frac{-3}{4} $
$ -3 \div 4 = -0.75 $
✔ Answer: -0.75

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

Simplify:
$ \frac{-36}{80} = \frac{-9}{20} $
$ -9 \div 20 = -0.45 $
✔ Answer: -0.45

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

Simplify:
$ \frac{22}{40} = \frac{11}{20} $
$ 11 \div 20 = 0.55 $
✔ Answer: 0.55

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

Simplify:
$ \frac{-70}{160} = \frac{-7}{16} $
$ -7 \div 16 = -0.4375 $
✔ Answer: -0.4375

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

Simplify:
$ \frac{48}{64} = \frac{3}{4} $
$ 3 \div 4 = 0.75 $
✔ Answer: 0.75

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

Simplify:
$ \frac{-25}{50} = \frac{-1}{2} $
$ -1 \div 2 = -0.5 $
✔ Answer: -0.5

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

$ 11 \div 25 = 0.44 $
✔ Answer: 0.44

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

Simplify:
$ \frac{52}{64} = \frac{13}{16} $
$ 13 \div 16 = 0.8125 $
✔ Answer: 0.8125

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

Simplify:
$ \frac{48}{80} = \frac{3}{5} $
$ 3 \div 5 = 0.6 $
✔ Answer: 0.6

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

Simplify:
$ \frac{32}{50} = \frac{16}{25} $
$ 16 \div 25 = 0.64 $
✔ Answer: 0.64

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

Simplify:
$ \frac{9}{24} = \frac{3}{8} $
$ 3 \div 8 = 0.375 $
✔ Answer: 0.375

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

Simplify:
$ \frac{55}{80} = \frac{11}{16} $
$ 11 \div 16 = 0.6875 $
✔ Answer: 0.6875

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

Simplify:
$ \frac{12}{64} = \frac{3}{16} $
$ 3 \div 16 = 0.1875 $
✔ Answer: 0.1875

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

Simplify:
$ \frac{98}{160} = \frac{49}{80} $
$ 49 \div 80 = 0.6125 $
✔ Answer: 0.6125

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

Simplify:
$ \frac{12}{50} = \frac{6}{25} $
$ 6 \div 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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🔍 Explanation:

- All numbers are rational, meaning they can be written as fractions and have either terminating or repeating decimals.
- We simplified each fraction to lowest terms first (by dividing numerator and denominator by their GCF), then performed division to get the decimal.
- All results are terminating decimals, which is typical for rational numbers with denominators that only have prime factors of 2 and/or 5.

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