Seventh Grade Math Worksheets - Free Printable

Let's solve the problem step by step.

The task is to convert decimals into fractions. We'll go through each decimal and express it as a fraction in simplest form.

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Step-by-step Conversion:

#### 1. 0.8
- This is 8 tenths → $ \frac{8}{10} $
- Simplify: $ \frac{8}{10} = \frac{4}{5} $

✔ Answer: $ \frac{4}{5} $

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#### 2. 0.67
- This is 67 hundredths → $ \frac{67}{100} $
- 67 is a prime number, so it can't be simplified.

✔ Answer: $ \frac{67}{100} $

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#### 3. 1.24
- This is 1 and 24 hundredths → $ 1 \frac{24}{100} $
- Simplify $ \frac{24}{100} $: divide numerator and denominator by 4 → $ \frac{6}{25} $
- So, $ 1 \frac{6}{25} $ or as an improper fraction: $ \frac{31}{25} $

✔ Answer: $ \frac{31}{25} $ or $ 1\frac{6}{25} $

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#### 4. 300.2
- This is 300 and 2 tenths → $ 300 \frac{2}{10} $
- Simplify $ \frac{2}{10} = \frac{1}{5} $
- So, $ 300 \frac{1}{5} $ or $ \frac{1501}{5} $

✔ Answer: $ \frac{1501}{5} $ or $ 300\frac{1}{5} $

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#### 5. 0.6
- This is 6 tenths → $ \frac{6}{10} = \frac{3}{5} $

✔ Answer: $ \frac{3}{5} $

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#### 6. 9.61
- This is 9 and 61 hundredths → $ 9 \frac{61}{100} $
- $ \frac{61}{100} $ cannot be simplified (61 is prime)

✔ Answer: $ \frac{961}{100} $ or $ 9\frac{61}{100} $

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#### 7. 0.89
- This is 89 hundredths → $ \frac{89}{100} $
- 89 is prime → already simplified

✔ Answer: $ \frac{89}{100} $

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#### 8. 80.6
- This is 80 and 6 tenths → $ 80 \frac{6}{10} = 80 \frac{3}{5} $
- As improper fraction: $ \frac{403}{5} $

✔ Answer: $ \frac{403}{5} $ or $ 80\frac{3}{5} $

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#### 9. 13.7
- This is 13 and 7 tenths → $ 13 \frac{7}{10} $
- Improper fraction: $ \frac{137}{10} $

✔ Answer: $ \frac{137}{10} $ or $ 13\frac{7}{10} $

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#### 10. 0.54
- This is 54 hundredths → $ \frac{54}{100} $
- Simplify: divide by 2 → $ \frac{27}{50} $

✔ Answer: $ \frac{27}{50} $

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#### 11. 20.8
- This is 20 and 8 tenths → $ 20 \frac{8}{10} = 20 \frac{4}{5} $
- Improper fraction: $ \frac{104}{5} $

✔ Answer: $ \frac{104}{5} $ or $ 20\frac{4}{5} $

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#### 12. 12.89
- This is 12 and 89 hundredths → $ 12 \frac{89}{100} $
- $ \frac{89}{100} $ is already simplified

✔ Answer: $ \frac{1289}{100} $ or $ 12\frac{89}{100} $

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✔ Final Answers:

| Decimal | Fraction |
|--------|----------|
| .8 | $ \frac{4}{5} $ |
| .67 | $ \frac{67}{100} $ |
| 1.24 | $ \frac{31}{25} $ |
| 300.2 | $ \frac{1501}{5} $ |
| .6 | $ \frac{3}{5} $ |
| 9.61 | $ \frac{961}{100} $ |
| .89 | $ \frac{89}{100} $ |
| 80.6 | $ \frac{403}{5} $ |
| 13.7 | $ \frac{137}{10} $ |
| .54 | $ \frac{27}{50} $ |
| 20.8 | $ \frac{104}{5} $ |
| 12.89 | $ \frac{1289}{100} $ |

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🔍 Tips for Converting Decimals to Fractions:

1. Write the decimal as a fraction with denominator based on place value:
- Tenths → /10
- Hundredths → /100
- Thousandths → /1000
2. Simplify the fraction by dividing numerator and denominator by their greatest common divisor (GCD).
3. For mixed numbers, keep the whole number part and convert the decimal part separately.

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