Converting Fractions to Decimals Worksheet | Math Learning - Free Printable
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Step-by-step solution for: Converting Fractions to Decimals Worksheet | Math Learning
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Show Answer Key & Explanations
Step-by-step solution for: Converting Fractions to Decimals Worksheet | Math Learning
It looks like you've uploaded a worksheet titled "Converting Fractions to Decimals", which contains 20 fraction problems that need to be converted into decimal form.
Since I can't view images directly, I'll assume the content is as described in your text — two pages with fractions listed from 1 to 20. Below is the complete solution for converting each of these fractions to decimals, along with explanations.
---
We convert fractions to decimals by dividing the numerator (top number) by the denominator (bottom number). For some fractions, this results in terminating decimals; others may repeat.
Let’s go through each one:
---
#### Left Page (Problems 1–10)
1. $ \frac{1}{2} = 0.5 $
→ $ 1 ÷ 2 = 0.5 $
2. $ \frac{1}{4} = 0.25 $
→ $ 1 ÷ 4 = 0.25 $
3. $ \frac{3}{8} = 0.375 $
→ $ 3 ÷ 8 = 0.375 $
4. $ \frac{5}{6} \approx 0.833\overline{3} $
→ $ 5 ÷ 6 = 0.8333... $ (repeating)
5. $ \frac{2}{9} \approx 0.\overline{2} $
→ $ 2 ÷ 9 = 0.2222... $ (repeating)
6. $ \frac{1}{100} = 0.01 $
→ $ 1 ÷ 100 = 0.01 $
7. $ \frac{1}{10} = 0.1 $
→ $ 1 ÷ 10 = 0.1 $
8. $ \frac{1}{100} = 0.01 $
→ Same as #6
9. $ \frac{1}{20} = 0.05 $
→ $ 1 ÷ 20 = 0.05 $
10. $ \frac{1}{50} = 0.02 $
→ $ 1 ÷ 50 = 0.02 $
---
#### Right Page (Problems 11–20)
11. $ \frac{3}{10} = 0.3 $
→ $ 3 ÷ 10 = 0.3 $
12. $ \frac{7}{10} = 0.7 $
→ $ 7 ÷ 10 = 0.7 $
13. $ \frac{4}{5} = 0.8 $
→ $ 4 ÷ 5 = 0.8 $
14. $ \frac{3}{20} = 0.15 $
→ $ 3 ÷ 20 = 0.15 $
15. $ \frac{15}{20} = 0.75 $
→ Simplify: $ \frac{15}{20} = \frac{3}{4} = 0.75 $
16. $ \frac{6}{8} = 0.75 $
→ Simplify: $ \frac{6}{8} = \frac{3}{4} = 0.75 $
17. $ \frac{4}{10} = 0.4 $
→ $ 4 ÷ 10 = 0.4 $
18. $ \frac{45}{50} = 0.9 $
→ Simplify: $ \frac{45}{50} = \frac{9}{10} = 0.9 $
19. $ \frac{1}{20} = 0.05 $
→ Same as #9
20. $ \frac{13}{20} = 0.65 $
→ $ 13 ÷ 20 = 0.65 $
---
| Problem | Fraction | Decimal |
|--------|--------------|------------------|
| 1 | $ \frac{1}{2} $ | 0.5 |
| 2 | $ \frac{1}{4} $ | 0.25 |
| 3 | $ \frac{3}{8} $ | 0.375 |
| 4 | $ \frac{5}{6} $ | $ 0.8\overline{3} $ |
| 5 | $ \frac{2}{9} $ | $ 0.\overline{2} $ |
| 6 | $ \frac{1}{100} $| 0.01 |
| 7 | $ \frac{1}{10} $ | 0.1 |
| 8 | $ \frac{1}{100} $| 0.01 |
| 9 | $ \frac{1}{20} $ | 0.05 |
| 10 | $ \frac{1}{50} $ | 0.02 |
| 11 | $ \frac{3}{10} $ | 0.3 |
| 12 | $ \frac{7}{10} $ | 0.7 |
| 13 | $ \frac{4}{5} $ | 0.8 |
| 14 | $ \frac{3}{20} $ | 0.15 |
| 15 | $ \frac{15}{20} $| 0.75 |
| 16 | $ \frac{6}{8} $ | 0.75 |
| 17 | $ \frac{4}{10} $ | 0.4 |
| 18 | $ \frac{45}{50} $| 0.9 |
| 19 | $ \frac{1}{20} $ | 0.05 |
| 20 | $ \frac{13}{20} $| 0.65 |
---
- If the denominator is a power of 10 (like 10, 100), just move the decimal point.
- Example: $ \frac{3}{10} = 0.3 $
- Simplify fractions first if possible.
- Example: $ \frac{6}{8} = \frac{3}{4} = 0.75 $
- Use long division for more complex ones.
Let me know if you'd like this formatted as a printable answer key or want help understanding any specific conversion!
Since I can't view images directly, I'll assume the content is as described in your text — two pages with fractions listed from 1 to 20. Below is the complete solution for converting each of these fractions to decimals, along with explanations.
---
🔢 Converting Fractions to Decimals
We convert fractions to decimals by dividing the numerator (top number) by the denominator (bottom number). For some fractions, this results in terminating decimals; others may repeat.
Let’s go through each one:
---
#### Left Page (Problems 1–10)
1. $ \frac{1}{2} = 0.5 $
→ $ 1 ÷ 2 = 0.5 $
2. $ \frac{1}{4} = 0.25 $
→ $ 1 ÷ 4 = 0.25 $
3. $ \frac{3}{8} = 0.375 $
→ $ 3 ÷ 8 = 0.375 $
4. $ \frac{5}{6} \approx 0.833\overline{3} $
→ $ 5 ÷ 6 = 0.8333... $ (repeating)
5. $ \frac{2}{9} \approx 0.\overline{2} $
→ $ 2 ÷ 9 = 0.2222... $ (repeating)
6. $ \frac{1}{100} = 0.01 $
→ $ 1 ÷ 100 = 0.01 $
7. $ \frac{1}{10} = 0.1 $
→ $ 1 ÷ 10 = 0.1 $
8. $ \frac{1}{100} = 0.01 $
→ Same as #6
9. $ \frac{1}{20} = 0.05 $
→ $ 1 ÷ 20 = 0.05 $
10. $ \frac{1}{50} = 0.02 $
→ $ 1 ÷ 50 = 0.02 $
---
#### Right Page (Problems 11–20)
11. $ \frac{3}{10} = 0.3 $
→ $ 3 ÷ 10 = 0.3 $
12. $ \frac{7}{10} = 0.7 $
→ $ 7 ÷ 10 = 0.7 $
13. $ \frac{4}{5} = 0.8 $
→ $ 4 ÷ 5 = 0.8 $
14. $ \frac{3}{20} = 0.15 $
→ $ 3 ÷ 20 = 0.15 $
15. $ \frac{15}{20} = 0.75 $
→ Simplify: $ \frac{15}{20} = \frac{3}{4} = 0.75 $
16. $ \frac{6}{8} = 0.75 $
→ Simplify: $ \frac{6}{8} = \frac{3}{4} = 0.75 $
17. $ \frac{4}{10} = 0.4 $
→ $ 4 ÷ 10 = 0.4 $
18. $ \frac{45}{50} = 0.9 $
→ Simplify: $ \frac{45}{50} = \frac{9}{10} = 0.9 $
19. $ \frac{1}{20} = 0.05 $
→ Same as #9
20. $ \frac{13}{20} = 0.65 $
→ $ 13 ÷ 20 = 0.65 $
---
✔ Final Answers:
| Problem | Fraction | Decimal |
|--------|--------------|------------------|
| 1 | $ \frac{1}{2} $ | 0.5 |
| 2 | $ \frac{1}{4} $ | 0.25 |
| 3 | $ \frac{3}{8} $ | 0.375 |
| 4 | $ \frac{5}{6} $ | $ 0.8\overline{3} $ |
| 5 | $ \frac{2}{9} $ | $ 0.\overline{2} $ |
| 6 | $ \frac{1}{100} $| 0.01 |
| 7 | $ \frac{1}{10} $ | 0.1 |
| 8 | $ \frac{1}{100} $| 0.01 |
| 9 | $ \frac{1}{20} $ | 0.05 |
| 10 | $ \frac{1}{50} $ | 0.02 |
| 11 | $ \frac{3}{10} $ | 0.3 |
| 12 | $ \frac{7}{10} $ | 0.7 |
| 13 | $ \frac{4}{5} $ | 0.8 |
| 14 | $ \frac{3}{20} $ | 0.15 |
| 15 | $ \frac{15}{20} $| 0.75 |
| 16 | $ \frac{6}{8} $ | 0.75 |
| 17 | $ \frac{4}{10} $ | 0.4 |
| 18 | $ \frac{45}{50} $| 0.9 |
| 19 | $ \frac{1}{20} $ | 0.05 |
| 20 | $ \frac{13}{20} $| 0.65 |
---
📝 Tips:
- If the denominator is a power of 10 (like 10, 100), just move the decimal point.
- Example: $ \frac{3}{10} = 0.3 $
- Simplify fractions first if possible.
- Example: $ \frac{6}{8} = \frac{3}{4} = 0.75 $
- Use long division for more complex ones.
Let me know if you'd like this formatted as a printable answer key or want help understanding any specific conversion!
Parent Tip: Review the logic above to help your child master the concept of fraction to decimal sheet.