Fractions to Decimals - Free Math Worksheets - Free Printable

Let's solve each fraction by converting it into its decimal form. The key idea is to understand the place value of the denominator:

- If the denominator is 10, move the decimal point one place to the left.
- If the denominator is 100, move the decimal point two places to the left.
- If the denominator is 1000, move the decimal point three places to the left.

We'll go through each problem step by step.

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1. Convert each fraction to decimal form

#### Column 1:
1. $ \frac{7}{10} = 0.7 $ ✔ (already given)
2. $ \frac{8}{10} = 0.8 $
3. $ \frac{9}{10} = 0.9 $
4. $ \frac{7}{100} = 0.07 $
5. $ \frac{3}{100} = 0.03 $
6. $ \frac{46}{100} = 0.46 $
7. $ \frac{8}{100} = 0.08 $
8. $ \frac{247}{10} = 24.7 $
9. $ \frac{68}{100} = 0.68 $
10. $ \frac{27}{10} = 2.7 $

#### Column 2:
1. $ \frac{15}{100} = 0.15 $ ✔ (already given)
2. $ \frac{24}{100} = 0.24 $
3. $ \frac{58}{100} = 0.58 $
4. $ \frac{3}{1000} = 0.003 $
5. $ \frac{4}{1000} = 0.004 $
6. $ \frac{2}{1000} = 0.002 $
7. $ \frac{9}{1000} = 0.009 $
8. $ \frac{423}{100} = 4.23 $
9. $ \frac{302}{1000} = 0.302 $
10. $ \frac{603}{100} = 6.03 $

#### Column 3:
1. $ \frac{112}{1000} = 0.112 $
2. $ \frac{256}{1000} = 0.256 $
3. $ \frac{401}{1000} = 0.401 $
4. $ \frac{39}{1000} = 0.039 $
5. $ \frac{12}{1000} = 0.012 $
6. $ \frac{73}{1000} = 0.073 $
7. $ \frac{98}{1000} = 0.098 $
8. $ \frac{902}{1000} = 0.902 $
9. $ \frac{78}{1000} = 0.078 $
10. $ \frac{55}{1000} = 0.055 $

#### Column 4:
1. $ \frac{12}{1000} = 0.012 $
2. $ \frac{43}{1000} = 0.043 $
3. $ \frac{22}{1000} = 0.022 $
4. $ \frac{198}{1000} = 0.198 $
5. $ \frac{401}{1000} = 0.401 $
6. $ \frac{28}{100} = 0.28 $
7. $ \frac{35}{100} = 0.35 $
8. $ \frac{101}{10} = 10.1 $
9. $ \frac{2345}{100} = 23.45 $
10. $ \frac{78}{10} = 7.8 $

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✔ Final Answers:

| Fraction | Decimal |
|--------|--------|
| $ \frac{7}{10} $ | 0.7 |
| $ \frac{15}{100} $ | 0.15 |
| $ \frac{112}{1000} $ | 0.112 |
| $ \frac{12}{1000} $ | 0.012 |
| $ \frac{8}{10} $ | 0.8 |
| $ \frac{24}{100} $ | 0.24 |
| $ \frac{256}{1000} $ | 0.256 |
| $ \frac{43}{1000} $ | 0.043 |
| $ \frac{9}{10} $ | 0.9 |
| $ \frac{58}{100} $ | 0.58 |
| $ \frac{401}{1000} $ | 0.401 |
| $ \frac{22}{1000} $ | 0.022 |
| $ \frac{7}{100} $ | 0.07 |
| $ \frac{3}{1000} $ | 0.003 |
| $ \frac{39}{1000} $ | 0.039 |
| $ \frac{198}{1000} $ | 0.198 |
| $ \frac{3}{100} $ | 0.03 |
| $ \frac{4}{1000} $ | 0.004 |
| $ \frac{12}{1000} $ | 0.012 |
| $ \frac{401}{1000} $ | 0.401 |
| $ \frac{46}{100} $ | 0.46 |
| $ \frac{2}{1000} $ | 0.002 |
| $ \frac{73}{1000} $ | 0.073 |
| $ \frac{28}{100} $ | 0.28 |
| $ \frac{8}{100} $ | 0.08 |
| $ \frac{9}{1000} $ | 0.009 |
| $ \frac{98}{1000} $ | 0.098 |
| $ \frac{35}{100} $ | 0.35 |
| $ \frac{247}{10} $ | 24.7 |
| $ \frac{423}{100} $ | 4.23 |
| $ \frac{902}{1000} $ | 0.902 |
| $ \frac{101}{10} $ | 10.1 |
| $ \frac{68}{100} $ | 0.68 |
| $ \frac{302}{1000} $ | 0.302 |
| $ \frac{78}{1000} $ | 0.078 |
| $ \frac{2345}{100} $ | 23.45 |
| $ \frac{27}{10} $ | 2.7 |
| $ \frac{603}{100} $ | 6.03 |
| $ \frac{55}{1000} $ | 0.055 |
| $ \frac{78}{10} $ | 7.8 |

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🔍 Explanation:

To convert a fraction like $ \frac{a}{10^n} $ to a decimal:
- Count how many zeros are in the denominator (i.e., $ n $).
- Move the decimal point in the numerator $ n $ places to the left.

For example:
- $ \frac{247}{10} $: 1 zero → move decimal one place left → 24.7
- $ \frac{2345}{100} $: 2 zeros → move decimal two places left → 23.45

This method works because the denominators are powers of 10, which align perfectly with decimal place values.

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