Convert decimals to fractions worksheet with 36 practice problems and instructions.

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:

To convert a decimal to a fraction:
- Count the number of digits after the decimal point.
- Write the decimal number over a denominator of $10^n$, where $n$ is the number of decimal places.
- For numbers > 1, separate the whole number and fractional parts.

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#### 1) 0.6
- One digit → 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 digits → 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 digits → 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
- Whole number = 1, decimal = 0.8 = $ \frac{8}{10} $
- Mixed number: $ 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:

1) $ \frac{6}{10} $
2) $ \frac{3}{10} $
3) $ \frac{1}{10} $
4) $ \frac{9}{10} $
5) $ \frac{8}{10} $
6) $ \frac{27}{100} $
7) $ \frac{58}{100} $
8) $ \frac{81}{100} $
9) $ \frac{43}{100} $
10) $ \frac{92}{100} $
11) $ \frac{78}{100} $
12) $ \frac{55}{100} $
13) $ \frac{34}{100} $
14) $ \frac{2}{10} $
15) $ \frac{81}{100} $
16) $ \frac{7}{10} $
17) $ \frac{325}{1000} $
18) $ \frac{289}{1000} $
19) $ \frac{452}{1000} $
20) $ \frac{13}{1000} $
21) $ \frac{67}{100} $
22) $ \frac{29}{100} $
23) $ \frac{316}{1000} $
24) $ \frac{527}{1000} $
25) $ 1 \frac{8}{10} $
26) $ 3 \frac{4}{10} $
27) $ 2 \frac{63}{100} $
28) $ 9 \frac{6}{10} $
29) $ 4 \frac{39}{100} $
30) $ 7 \frac{28}{100} $
31) $ \frac{375}{1000} $
32) $ 6 \frac{41}{100} $
33) $ 1 \frac{372}{1000} $
34) $ 5 \frac{391}{1000} $
35) $ 8 \frac{29}{100} $
36) $ 11 \frac{83}{100} $

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✔ Explanation Summary:

- The key idea is to use the place value of the decimal.
- For example:
- 0.6 = six tenths → $ \frac{6}{10} $
- 0.27 = twenty-seven hundredths → $ \frac{27}{100} $
- 1.8 = one and eight tenths → $ 1 \frac{8}{10} $
- We do not reduce or simplify any fractions.
- We do not convert mixed numbers to improper fractions unless asked — here we keep them as mixed numbers when > 1.

Let me know if you'd like this in printable format or with explanations for specific problems!