Worksheets for converting fractions to decimals.

You've uploaded an image of a worksheet titled “Converting Fractions to Decimals”. The task is to convert the given fractions into their decimal equivalents.

There are 20 problems listed, numbered 1 through 20, arranged in two columns. I’ll solve each one and explain how to convert fractions to decimals.

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✔ General Method:

To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number).

Example:
> 1/2 = 1 ÷ 2 = 0.5

For fractions with denominators that are powers of 10 (like 10, 100), you can directly write the decimal by placing the numerator in the correct decimal place.

Example:
> 3/10 = 0.3
> 7/100 = 0.07

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## 🔢 Solutions:

Column 1 (Problems 1–10):

1. 1/2 = 1 ÷ 2 = 0.5

2. 1/4 = 1 ÷ 4 = 0.25

3. 1/8 = 1 ÷ 8 = 0.125

4. 1/5 = 1 ÷ 5 = 0.2

5. 2/5 = 2 ÷ 5 = 0.4

6. 2/4 = 2 ÷ 4 = 0.5 *(or simplify first: 2/4 = 1/2 = 0.5)*

7. 1/10 = 0.1 *(denominator is 10 → one decimal place)*

8. 1/100 = 0.01 *(denominator is 100 → two decimal places)*

9. 1/25 = 1 ÷ 25 = 0.04

10. 1/50 = 1 ÷ 50 = 0.02

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Column 2 (Problems 11–20):

11. 3/10 = 0.3

12. 7/10 = 0.7

13. 4/5 = 4 ÷ 5 = 0.8

14. 3/5 = 3 ÷ 5 = 0.6

15. 15/20 = 15 ÷ 20 = 0.75
*(You can simplify first: 15/20 = 3/4 = 0.75)*

16. 6/8 = 6 ÷ 8 = 0.75
*(Simplify: 6/8 = 3/4 = 0.75)*

17. 4/10 = 0.4

18. 45/50 = 45 ÷ 50 = 0.9
*(Simplify: 45/50 = 9/10 = 0.9)*

19. 23/50 = 23 ÷ 50 = 0.46

20. 1/20 = 1 ÷ 20 = 0.05

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## 📝 Final Answer Key:

| # | Fraction | Decimal |
|---|----------|---------|
| 1 | 1/2 | 0.5 |
| 2 | 1/4 | 0.25 |
| 3 | 1/8 | 0.125 |
| 4 | 1/5 | 0.2 |
| 5 | 2/5 | 0.4 |
| 6 | 2/4 | 0.5 |
| 7 | 1/10 | 0.1 |
| 8 | 1/100 | 0.01 |
| 9 | 1/25 | 0.04 |
|10 | 1/50 | 0.02 |
|11 | 3/10 | 0.3 |
|12 | 7/10 | 0.7 |
|13 | 4/5 | 0.8 |
|14 | 3/5 | 0.6 |
|15 | 15/20 | 0.75 |
|16 | 6/8 | 0.75 |
|17 | 4/10 | 0.4 |
|18 | 45/50 | 0.9 |
|19 | 23/50 | 0.46 |
|20 | 1/20 | 0.05 |

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## 💡 Tips for Students:

- If the denominator is 10, 100, 1000, etc., just move the decimal point left based on zeros.
- Simplify fractions before converting — it often makes division easier.
- Use long division or a calculator if needed.
- Remember: All fractions can be written as decimals — some terminate (end), others repeat (like 1/3 = 0.333...). In this worksheet, all decimals terminate.

Let me know if you’d like a printable version or want to check your own answers! 😊