Fractions to Decimals - Worksheet Digital - Free Printable

Let's solve each fraction by converting it to a decimal. We'll go through each one step-by-step.

---

How to Convert Fractions to Decimals:

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

We'll do this for each fraction:

---

Row 1:

1. $ \frac{7}{10} = 7 \div 10 = 0.7 $

2. $ \frac{5}{9} = 5 \div 9 \approx 0.555... = 0.\overline{5} $

3. $ \frac{3}{5} = 3 \div 5 = 0.6 $

4. $ \frac{4}{10} = 4 \div 10 = 0.4 $

---

Row 2:

5. $ \frac{6}{10} = 6 \div 10 = 0.6 $

6. $ \frac{7}{10} = 7 \div 10 = 0.7 $

7. $ \frac{4}{7} = 4 \div 7 \approx 0.571428... = 0.\overline{571428} $

8. $ \frac{8}{9} = 8 \div 9 \approx 0.888... = 0.\overline{8} $

---

Row 3:

9. $ \frac{5}{10} = 5 \div 10 = 0.5 $

10. $ \frac{3}{11} = 3 \div 11 \approx 0.2727... = 0.\overline{27} $

11. $ \frac{1}{10} = 1 \div 10 = 0.1 $

12. $ \frac{7}{9} = 7 \div 9 \approx 0.777... = 0.\overline{7} $

---

Row 4:

13. $ \frac{5}{8} = 5 \div 8 = 0.625 $

14. $ \frac{9}{10} = 9 \div 10 = 0.9 $

15. $ \frac{2}{3} = 2 \div 3 \approx 0.666... = 0.\overline{6} $

16. $ \frac{3}{7} = 3 \div 7 \approx 0.428571... = 0.\overline{428571} $

---

Row 5:

17. $ \frac{9}{11} = 9 \div 11 \approx 0.8181... = 0.\overline{81} $

18. $ \frac{9}{12} = \frac{3}{4} = 3 \div 4 = 0.75 $

19. $ \frac{2}{10} = 2 \div 10 = 0.2 $

20. $ \frac{10}{13} = 10 \div 13 \approx 0.769230... = 0.\overline{769230} $

---

Row 6:

21. $ \frac{9}{15} = \frac{3}{5} = 3 \div 5 = 0.6 $

22. $ \frac{2}{5} = 2 \div 5 = 0.4 $

23. $ \frac{4}{9} = 4 \div 9 \approx 0.444... = 0.\overline{4} $

24. $ \frac{3}{5} = 3 \div 5 = 0.6 $

---

✔ Final Answers:

| Fraction | Decimal |
|--------|--------|
| $ \frac{7}{10} $ | 0.7 |
| $ \frac{5}{9} $ | $ 0.\overline{5} $ |
| $ \frac{3}{5} $ | 0.6 |
| $ \frac{4}{10} $ | 0.4 |
| $ \frac{6}{10} $ | 0.6 |
| $ \frac{7}{10} $ | 0.7 |
| $ \frac{4}{7} $ | $ 0.\overline{571428} $ |
| $ \frac{8}{9} $ | $ 0.\overline{8} $ |
| $ \frac{5}{10} $ | 0.5 |
| $ \frac{3}{11} $ | $ 0.\overline{27} $ |
| $ \frac{1}{10} $ | 0.1 |
| $ \frac{7}{9} $ | $ 0.\overline{7} $ |
| $ \frac{5}{8} $ | 0.625 |
| $ \frac{9}{10} $ | 0.9 |
| $ \frac{2}{3} $ | $ 0.\overline{6} $ |
| $ \frac{3}{7} $ | $ 0.\overline{428571} $ |
| $ \frac{9}{11} $ | $ 0.\overline{81} $ |
| $ \frac{9}{12} $ | 0.75 |
| $ \frac{2}{10} $ | 0.2 |
| $ \frac{10}{13} $ | $ 0.\overline{769230} $ |
| $ \frac{9}{15} $ | 0.6 |
| $ \frac{2}{5} $ | 0.4 |
| $ \frac{4}{9} $ | $ 0.\overline{4} $ |
| $ \frac{3}{5} $ | 0.6 |

---

📝 Notes:

- Some decimals are repeating, so we use a bar over the repeating digits.
- Simplify fractions when possible before dividing (e.g., $ \frac{9}{12} = \frac{3}{4} $).
- Use long division or a calculator for non-simple fractions.

Let me know if you'd like this formatted as a printable answer key!