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Practice converting fractions to decimals with this educational worksheet featuring a tropical palm tree theme.

Worksheet titled "Converting Fractions to Decimals" with 25 fraction conversion problems, bordered by palm tree illustrations.

Worksheet titled "Converting Fractions to Decimals" with 25 fraction conversion problems, bordered by palm tree illustrations.

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Show Answer Key & Explanations Step-by-step solution for: Converting Fractions to Decimals I worksheet
Let's solve each of these fraction-to-decimal conversions step by step.

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Key Concept:


To convert a fraction to a decimal, divide the numerator by the denominator.

But when the denominator is 10, 100, or 1000, you can use a shortcut:
- If denominator is 10, move the decimal point one place left.
- If denominator is 100, move the decimal point two places left.
- If denominator is 1000, move the decimal point three places left.

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Now let’s go through each problem:

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1. $ \frac{9}{10} = 0.9 $
→ 9 ÷ 10 = 0.9

2. $ \frac{25}{10} = 2.5 $
→ 25 ÷ 10 = 2.5

3. $ \frac{30}{100} = 0.30 $ or $ 0.3 $
→ 30 ÷ 100 = 0.30 (or just 0.3)

4. $ \frac{24}{100} = 0.24 $
→ 24 ÷ 100 = 0.24

5. $ \frac{8}{10} = 0.8 $
→ 8 ÷ 10 = 0.8

6. $ \frac{7}{10} = 0.7 $
→ 7 ÷ 10 = 0.7

7. $ \frac{15}{100} = 0.15 $
→ 15 ÷ 100 = 0.15

8. $ \frac{24}{100} = 0.24 $
→ Same as #4

9. $ \frac{67}{100} = 0.67 $
→ 67 ÷ 100 = 0.67

10. $ \frac{19}{1000} = 0.019 $
→ 19 ÷ 1000 = 0.019

11. $ \frac{564}{100} = 5.64 $
→ 564 ÷ 100 = 5.64

12. $ \frac{489}{100} = 4.89 $
→ 489 ÷ 100 = 4.89

13. $ \frac{238}{100} = 2.38 $
→ 238 ÷ 100 = 2.38

14. $ \frac{455}{100} = 4.55 $
→ 455 ÷ 100 = 4.55

15. $ \frac{758}{1000} = 0.758 $
→ 758 ÷ 1000 = 0.758

16. $ \frac{14}{10} = 1.4 $
→ 14 ÷ 10 = 1.4

17. $ \frac{422}{10} = 42.2 $
→ 422 ÷ 10 = 42.2

18. $ \frac{567}{1000} = 0.567 $
→ 567 ÷ 1000 = 0.567

19. $ \frac{123}{10} = 12.3 $
→ 123 ÷ 10 = 12.3

20. $ \frac{47}{10} = 4.7 $
→ 47 ÷ 10 = 4.7

21. $ \frac{56}{10} = 5.6 $
→ 56 ÷ 10 = 5.6

22. $ \frac{722}{100} = 7.22 $
→ 722 ÷ 100 = 7.22

23. $ \frac{457}{1000} = 0.457 $
→ 457 ÷ 1000 = 0.457

24. $ \frac{36}{10} = 3.6 $
→ 36 ÷ 10 = 3.6

25. $ \frac{97}{10} = 9.7 $
→ 97 ÷ 10 = 9.7

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Final Answers:



| Problem | Decimal |
|--------|--------|
| 1. $ \frac{9}{10} $ | 0.9 |
| 2. $ \frac{25}{10} $ | 2.5 |
| 3. $ \frac{30}{100} $ | 0.3 |
| 4. $ \frac{24}{100} $ | 0.24 |
| 5. $ \frac{8}{10} $ | 0.8 |
| 6. $ \frac{7}{10} $ | 0.7 |
| 7. $ \frac{15}{100} $ | 0.15 |
| 8. $ \frac{24}{100} $ | 0.24 |
| 9. $ \frac{67}{100} $ | 0.67 |
| 10. $ \frac{19}{1000} $ | 0.019 |
| 11. $ \frac{564}{100} $ | 5.64 |
| 12. $ \frac{489}{100} $ | 4.89 |
| 13. $ \frac{238}{100} $ | 2.38 |
| 14. $ \frac{455}{100} $ | 4.55 |
| 15. $ \frac{758}{1000} $ | 0.758 |
| 16. $ \frac{14}{10} $ | 1.4 |
| 17. $ \frac{422}{10} $ | 42.2 |
| 18. $ \frac{567}{1000} $ | 0.567 |
| 19. $ \frac{123}{10} $ | 12.3 |
| 20. $ \frac{47}{10} $ | 4.7 |
| 21. $ \frac{56}{10} $ | 5.6 |
| 22. $ \frac{722}{100} $ | 7.22 |
| 23. $ \frac{457}{1000} $ | 0.457 |
| 24. $ \frac{36}{10} $ | 3.6 |
| 25. $ \frac{97}{10} $ | 9.7 |

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Tip: When converting fractions with denominators like 10, 100, 1000, just think about how many decimal places to move — it's easy and fast!

Let me know if you'd like this in printable format or with explanations for specific ones!
Parent Tip: Review the logic above to help your child master the concept of turning fractions into decimals worksheet.
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