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.
---
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.