Converting Decimals to Fractions Worksheet - Free Printable

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. The key idea:
> A decimal like `0.6` means 6 tenths, so it becomes $ \frac{6}{10} $.
> A decimal like `0.34` means 34 hundredths, so $ \frac{34}{100} $.
> And for numbers like `1.8`, we write it as $ 1 \frac{8}{10} $.

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Solutions:

#### 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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Final Answers (Formatted):

| # | 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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Summary of Method:

To convert a decimal to a fraction:
1. Count the number of digits after the decimal point.
2. Write the decimal number over a denominator of 10, 100, 1000, etc., based on the number of decimal places.
- 1 digit → /10
- 2 digits → /100
- 3 digits → /1000
3. For values > 1, separate the whole number and fractional part.

✔ All answers are in decimal fractions with denominators as powers of 10, and mixed fractions are used when needed — exactly as instructed.

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