Math worksheet for converting fractions to decimals with examples and practice problems.

You're working on a worksheet titled “Fractions to Decimals”, which asks you to convert each given fraction into its decimal equivalent by performing division (numerator ÷ denominator).

The examples show:
- 3/8 = 3 ÷ 8 = 0.375
- 9/20 = 9 ÷ 20 = 0.45

So, for each problem, divide the top number (numerator) by the bottom number (denominator). You may need to round to 3 or 4 decimal places if the division doesn’t terminate.

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✔ Here are the solutions for all 15 problems:

#### Row 1:
1. 4/11 = 4 ÷ 11 ≈ 0.3636
2. 8/15 = 8 ÷ 15 ≈ 0.5333
3. 12/37 = 12 ÷ 37 ≈ 0.3243

#### Row 2:
4. 4/7 = 4 ÷ 7 ≈ 0.5714
5. 7/19 = 7 ÷ 19 ≈ 0.3684
6. 5/8 = 5 ÷ 8 = 0.625 *(exact)*

#### Row 3:
7. 2/7 = 2 ÷ 7 ≈ 0.2857
8. 5/11 = 5 ÷ 11 ≈ 0.4545
9. 8/9 = 8 ÷ 9 ≈ 0.8889

#### Row 4:
10. 3/15 = 3 ÷ 15 = 0.2 *(exact — simplifies to 1/5)*
11. 5/13 = 5 ÷ 13 ≈ 0.3846
12. 4/9 = 4 ÷ 9 ≈ 0.4444

#### Row 5:
13. 11/15 = 11 ÷ 15 ≈ 0.7333
14. 9/11 = 9 ÷ 11 ≈ 0.8182
15. 12/13 = 12 ÷ 13 ≈ 0.9231

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📝 Final Answer Key (rounded to 4 decimal places unless exact):

| Fraction | Decimal |
|----------|--------------|
| 4/11 | 0.3636 |
| 8/15 | 0.5333 |
| 12/37 | 0.3243 |
| 4/7 | 0.5714 |
| 7/19 | 0.3684 |
| 5/8 | 0.625 |
| 2/7 | 0.2857 |
| 5/11 | 0.4545 |
| 8/9 | 0.8889 |
| 3/15 | 0.2 |
| 5/13 | 0.3846 |
| 4/9 | 0.4444 |
| 11/15 | 0.7333 |
| 9/11 | 0.8182 |
| 12/13 | 0.9231 |

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💡 Tips for Students:

- Use a calculator if allowed.
- If doing long division by hand, keep dividing until you get enough decimal places (usually 3–4).
- Some fractions simplify first (like 3/15 = 1/5 = 0.2), which makes conversion easier.
- Repeating decimals (like 1/3 = 0.333...) can be rounded as instructed.

Let me know if you want these written out with long division steps! 😊