Convert decimals to fractions with this printable math worksheet from MathCenter.

Let's solve the problem of converting decimals to fractions step by step.

We'll go through each decimal and convert it into a fraction in its simplest form.

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🔹 General Rule:

To convert a decimal to a fraction:
1. Write the decimal as a fraction with the denominator being a power of 10 (based on the number of decimal places).
2. Simplify the fraction by dividing numerator and denominator by their greatest common divisor (GCD).

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✔ Solutions:

#### 1) 0.1
= $ \frac{1}{10} $
(Simplest form)

#### 2) 0.02
= $ \frac{2}{100} = \frac{1}{50} $
(Simplify by dividing numerator and denominator by 2)

#### 3) 0.003
= $ \frac{3}{1000} $
(Already simplified)

#### 4) 0.123
= $ \frac{123}{1000} $
(No common factors; already simplified)

#### 5) 0.4
= $ \frac{4}{10} = \frac{2}{5} $
(Simplify by dividing by 2)

#### 6) 0.05
= $ \frac{5}{100} = \frac{1}{20} $
(Simplify by dividing by 5)

#### 7) 0.006
= $ \frac{6}{1000} = \frac{3}{500} $
(Simplify by dividing by 2)

#### 8) 0.456
= $ \frac{456}{1000} $
Simplify: GCD of 456 and 1000 is 8
$ \frac{456 ÷ 8}{1000 ÷ 8} = \frac{57}{125} $

#### 9) 0.4056
= $ \frac{4056}{10000} $
Find GCD of 4056 and 10000 → GCD = 8
$ \frac{4056 ÷ 8}{10000 ÷ 8} = \frac{507}{1250} $

#### 10) 0.0456
= $ \frac{456}{10000} $
Same as above: GCD = 8
$ \frac{456 ÷ 8}{10000 ÷ 8} = \frac{57}{1250} $

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#### 11) 0.5
= $ \frac{5}{10} = \frac{1}{2} $

#### 12) 0.50
= $ \frac{50}{100} = \frac{1}{2} $
(Note: 0.50 = 0.5, so same as above)

#### 13) 0.500
= $ \frac{500}{1000} = \frac{1}{2} $
(Same value, just more zeros)

#### 14) 0.7
= $ \frac{7}{10} $

#### 15) 0.70
= $ \frac{70}{100} = \frac{7}{10} $

#### 16) 0.700
= $ \frac{700}{1000} = \frac{7}{10} $

#### 17) 0.06
= $ \frac{6}{100} = \frac{3}{50} $

#### 18) 0.060
= $ \frac{60}{1000} = \frac{6}{100} = \frac{3}{50} $
(Trailing zero doesn’t change value)

#### 19) 0.0600
= $ \frac{600}{10000} = \frac{6}{100} = \frac{3}{50} $

#### 20) 0.76
= $ \frac{76}{100} = \frac{19}{25} $
(Simplify by dividing by 4)

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✔ Final Answers:

| Number | Fraction |
|--------|----------|
| 1) 0.1 | $ \frac{1}{10} $ |
| 2) 0.02 | $ \frac{1}{50} $ |
| 3) 0.003 | $ \frac{3}{1000} $ |
| 4) 0.123 | $ \frac{123}{1000} $ |
| 5) 0.4 | $ \frac{2}{5} $ |
| 6) 0.05 | $ \frac{1}{20} $ |
| 7) 0.006 | $ \frac{3}{500} $ |
| 8) 0.456 | $ \frac{57}{125} $ |
| 9) 0.4056 | $ \frac{507}{1250} $ |
| 10) 0.0456 | $ \frac{57}{1250} $ |
| 11) 0.5 | $ \frac{1}{2} $ |
| 12) 0.50 | $ \frac{1}{2} $ |
| 13) 0.500 | $ \frac{1}{2} $ |
| 14) 0.7 | $ \frac{7}{10} $ |
| 15) 0.70 | $ \frac{7}{10} $ |
| 16) 0.700 | $ \frac{7}{10} $ |
| 17) 0.06 | $ \frac{3}{50} $ |
| 18) 0.060 | $ \frac{3}{50} $ |
| 19) 0.0600 | $ \frac{3}{50} $ |
| 20) 0.76 | $ \frac{19}{25} $ |

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📝 Notes:

- Trailing zeros do not change the value of a decimal.
- Always simplify fractions to lowest terms.
- For decimals with many digits, use prime factorization or a calculator to find GCD.

Let me know if you'd like this in printable format!