Convert decimals to fractions worksheet with 36 practice problems.

Let's solve the problem of converting decimals to fractions, following the instructions:

Instructions Recap:

- Convert each decimal to a fraction.
- Use a denominator that is a power of 10 (e.g., 10, 100, 1000).
- Do not simplify the fraction.
- If the decimal is greater than 1, write it as a mixed number.

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We'll go through each one step by step.

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Step-by-step Conversion:

#### 1) 0.6
- One decimal place → denominator = 10
- $ \frac{6}{10} $

#### 2) 0.3
- $ \frac{3}{10} $

#### 3) 0.1
- $ \frac{1}{10} $

#### 4) 0.9
- $ \frac{9}{10} $

#### 5) 0.8
- $ \frac{8}{10} $

#### 6) 0.27
- Two decimal places → denominator = 100
- $ \frac{27}{100} $

#### 7) 0.58
- $ \frac{58}{100} $

#### 8) 0.81
- $ \frac{81}{100} $

#### 9) 0.43
- $ \frac{43}{100} $

#### 10) 0.92
- $ \frac{92}{100} $

#### 11) 0.78
- $ \frac{78}{100} $

#### 12) 0.55
- $ \frac{55}{100} $

#### 13) 0.34
- $ \frac{34}{100} $

#### 14) 0.2
- $ \frac{2}{10} $

#### 15) 0.81
- $ \frac{81}{100} $

#### 16) 0.7
- $ \frac{7}{10} $

#### 17) 0.325
- Three decimal places → denominator = 1000
- $ \frac{325}{1000} $

#### 18) 0.289
- $ \frac{289}{1000} $

#### 19) 0.452
- $ \frac{452}{1000} $

#### 20) 0.013
- $ \frac{13}{1000} $

#### 21) 0.67
- $ \frac{67}{100} $

#### 22) 0.29
- $ \frac{29}{100} $

#### 23) 0.316
- $ \frac{316}{1000} $

#### 24) 0.527
- $ \frac{527}{1000} $

#### 25) 1.8
- Greater than 1 → mixed number
- Whole part = 1, decimal = 0.8 → $ \frac{8}{10} $
- So: $ 1 \frac{8}{10} $

#### 26) 3.4
- $ 3 \frac{4}{10} $

#### 27) 2.63
- $ 2 \frac{63}{100} $

#### 28) 9.6
- $ 9 \frac{6}{10} $

#### 29) 4.39
- $ 4 \frac{39}{100} $

#### 30) 7.28
- $ 7 \frac{28}{100} $

#### 31) 0.375
- $ \frac{375}{1000} $

#### 32) 6.41
- $ 6 \frac{41}{100} $

#### 33) 1.372
- $ 1 \frac{372}{1000} $

#### 34) 5.391
- $ 5 \frac{391}{1000} $

#### 35) 8.29
- $ 8 \frac{29}{100} $

#### 36) 11.83
- $ 11 \frac{83}{100} $

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✔ Final Answers:

| # | Decimal | Fraction |
|---|--------|----------|
| 1) | 0.6 | $ \frac{6}{10} $ |
| 2) | 0.3 | $ \frac{3}{10} $ |
| 3) | 0.1 | $ \frac{1}{10} $ |
| 4) | 0.9 | $ \frac{9}{10} $ |
| 5) | 0.8 | $ \frac{8}{10} $ |
| 6) | 0.27 | $ \frac{27}{100} $ |
| 7) | 0.58 | $ \frac{58}{100} $ |
| 8) | 0.81 | $ \frac{81}{100} $ |
| 9) | 0.43 | $ \frac{43}{100} $ |
|10) | 0.92 | $ \frac{92}{100} $ |
|11) | 0.78 | $ \frac{78}{100} $ |
|12) | 0.55 | $ \frac{55}{100} $ |
|13) | 0.34 | $ \frac{34}{100} $ |
|14) | 0.2 | $ \frac{2}{10} $ |
|15) | 0.81 | $ \frac{81}{100} $ |
|16) | 0.7 | $ \frac{7}{10} $ |
|17) | 0.325 | $ \frac{325}{1000} $ |
|18) | 0.289 | $ \frac{289}{1000} $ |
|19) | 0.452 | $ \frac{452}{1000} $ |
|20) | 0.013 | $ \frac{13}{1000} $ |
|21) | 0.67 | $ \frac{67}{100} $ |
|22) | 0.29 | $ \frac{29}{100} $ |
|23) | 0.316 | $ \frac{316}{1000} $ |
|24) | 0.527 | $ \frac{527}{1000} $ |
|25) | 1.8 | $ 1 \frac{8}{10} $ |
|26) | 3.4 | $ 3 \frac{4}{10} $ |
|27) | 2.63 | $ 2 \frac{63}{100} $ |
|28) | 9.6 | $ 9 \frac{6}{10} $ |
|29) | 4.39 | $ 4 \frac{39}{100} $ |
|30) | 7.28 | $ 7 \frac{28}{100} $ |
|31) | 0.375 | $ \frac{375}{1000} $ |
|32) | 6.41 | $ 6 \frac{41}{100} $ |
|33) | 1.372 | $ 1 \frac{372}{1000} $ |
|34) | 5.391 | $ 5 \frac{391}{1000} $ |
|35) | 8.29 | $ 8 \frac{29}{100} $ |
|36) | 11.83 | $ 11 \frac{83}{100} $ |

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🔍 Explanation:

To convert a decimal to a fraction:
1. Count the decimal places:
- 1 place → denominator = 10
- 2 places → denominator = 100
- 3 places → denominator = 1000
2. Write the digits after the decimal point as the numerator.
3. If the number is greater than 1, separate the whole number and fractional parts into a mixed number.

✔ We followed all rules:
- No simplification needed.
- All denominators are powers of 10.
- Mixed numbers used for values > 1.

Let me know if you'd like this formatted as a printable answer sheet!