Convert Fractions to Decimals using Equivalent Fractions ... - Free Printable

Let's solve each of these fractions by converting them to decimals using equivalent fractions. The idea is to rewrite the fraction so that the denominator becomes a power of 10 (like 10, 100, 1000, etc.), which makes it easy to convert to a decimal.

We'll go step-by-step:

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1. $ \frac{15}{20} $

We want to make the denominator 100:
- Multiply numerator and denominator by 5:
$$
\frac{15 \times 5}{20 \times 5} = \frac{75}{100} = 0.75
$$

✔ Answer: 0.75

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2. $ \frac{12}{25} $

Multiply numerator and denominator by 4 to get denominator 100:
$$
\frac{12 \times 4}{25 \times 4} = \frac{48}{100} = 0.48
$$

✔ Answer: 0.48

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3. $ \frac{12}{25} $ → already done above

Same as #2:
✔ Answer: 0.48

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

Multiply numerator and denominator by 50 to get 100:
$$
\frac{1 \times 50}{2 \times 50} = \frac{50}{100} = 0.50
$$

✔ Answer: 0.50 or just 0.5

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5. $ \frac{13}{25} $

Multiply numerator and denominator by 4:
$$
\frac{13 \times 4}{25 \times 4} = \frac{52}{100} = 0.52
$$

✔ Answer: 0.52

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6. $ \frac{3}{5} $

Multiply numerator and denominator by 20 to get 100:
$$
\frac{3 \times 20}{5 \times 20} = \frac{60}{100} = 0.60
$$

✔ Answer: 0.60 or 0.6

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7. $ \frac{19}{50} $

Multiply numerator and denominator by 2:
$$
\frac{19 \times 2}{50 \times 2} = \frac{38}{100} = 0.38
$$

✔ Answer: 0.38

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8. $ \frac{17}{20} $

Multiply numerator and denominator by 5:
$$
\frac{17 \times 5}{20 \times 5} = \frac{85}{100} = 0.85
$$

✔ Answer: 0.85

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9. $ \frac{6}{20} $

Simplify first: $ \frac{6}{20} = \frac{3}{10} $, or multiply by 5:
$$
\frac{6 \times 5}{20 \times 5} = \frac{30}{100} = 0.30
$$

✔ Answer: 0.30 or 0.3

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10. $ \frac{1}{4} $

Multiply numerator and denominator by 25:
$$
\frac{1 \times 25}{4 \times 25} = \frac{25}{100} = 0.25
$$

✔ Answer: 0.25

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11. $ \frac{24}{25} $

Multiply by 4:
$$
\frac{24 \times 4}{25 \times 4} = \frac{96}{100} = 0.96
$$

✔ Answer: 0.96

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12. $ \frac{9}{25} $

Multiply by 4:
$$
\frac{9 \times 4}{25 \times 4} = \frac{36}{100} = 0.36
$$

✔ Answer: 0.36

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13. $ \frac{2}{5} $

Multiply by 20:
$$
\frac{2 \times 20}{5 \times 20} = \frac{40}{100} = 0.40
$$

✔ Answer: 0.40 or 0.4

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14. $ \frac{7}{20} $

Multiply by 5:
$$
\frac{7 \times 5}{20 \times 5} = \frac{35}{100} = 0.35
$$

✔ Answer: 0.35

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✔ Final Answers:

| Fraction | Decimal |
|--------|--------|
| $ \frac{15}{20} $ | 0.75 |
| $ \frac{12}{25} $ | 0.48 |
| $ \frac{12}{25} $ | 0.48 |
| $ \frac{1}{2} $ | 0.5 |
| $ \frac{13}{25} $ | 0.52 |
| $ \frac{3}{5} $ | 0.6 |
| $ \frac{19}{50} $ | 0.38 |
| $ \frac{17}{20} $ | 0.85 |
| $ \frac{6}{20} $ | 0.3 |
| $ \frac{1}{4} $ | 0.25 |
| $ \frac{24}{25} $ | 0.96 |
| $ \frac{9}{25} $ | 0.36 |
| $ \frac{2}{5} $ | 0.4 |
| $ \frac{7}{20} $ | 0.35 |

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💡 Tip: When converting fractions to decimals using equivalent fractions, always aim to make the denominator a multiple of 10, 100, or 1000. This works best when the original denominator divides evenly into such numbers (e.g., 2, 4, 5, 10, 20, 25, 50).

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