Sure! Let’s solve each problem step by step. The goal is to
convert decimals to fractions and then
simplify them to lowest terms.
---
🔢 General Rule:
- A decimal like `0.x` becomes `x/10`
- `0.xx` becomes `xx/100`
- `1.x` becomes `1 + x/10 = (10 + x)/10`
- Then simplify the fraction by dividing numerator and denominator by their
Greatest Common Divisor (GCD).
---
##
✔ Solutions:
---
1. 0.5 = ?
→ 5/10 → simplify by dividing by 5 →
1/2
---
2. 0.3 = ?
→ 3/10 → already simplified →
3/10
---
3. 0.9 = ?
→ 9/10 → already simplified →
9/10
---
4. 0.04 = ?
→ 4/100 → divide numerator and denominator by 4 →
1/25
---
5. 0.13 = ?
→ 13/100 → 13 is prime, doesn’t divide 100 →
13/100
---
6. 0.1 = ?
→ 1/10 → already simplified →
1/10
---
7. 0.25 = ?
→ 25/100 → divide by 25 →
1/4
---
8. 0.75 = ?
→ 75/100 → divide by 25 →
3/4
---
9. 0.05 = ?
→ 5/100 → divide by 5 →
1/20
---
10. 0.7 = ?
→ 7/10 → already simplified →
7/10
---
11. 1.25 = ?
→ 1 + 0.25 = 1 + 1/4 =
5/4
*(or: 125/100 → divide by 25 → 5/4)*
---
12. 1.3 = ?
→ 1 + 0.3 = 1 + 3/10 =
13/10
---
13. 1.1 = ?
→ 1 + 0.1 = 1 + 1/10 =
11/10
---
14. 1.5 = ?
→ 1 + 0.5 = 1 + 1/2 =
3/2
*(or: 15/10 → divide by 5 → 3/2)*
---
15. 1.22 = ?
→ 122/100 → divide by 2 →
61/50
---
16. 2.3 = ?
→ 2 + 0.3 = 2 + 3/10 =
23/10
---
17. 1.43 = ?
→ 143/100 → check GCD of 143 and 100.
143 = 11 × 13, 100 = 2²×5² → no common factors →
143/100
---
18. 4.15 = ?
→ 415/100 → divide by 5 →
83/20
---
19. 2.1 = ?
→ 2 + 0.1 = 2 + 1/10 =
21/10
---
20. 1.7 = ?
→ 1 + 0.7 = 1 + 7/10 =
17/10
---
## 📝 Final Answers (Boxed):
1.
1/2
2.
3/10
3.
9/10
4.
1/25
5.
13/100
6.
1/10
7.
1/4
8.
3/4
9.
1/20
10.
7/10
11.
5/4
12.
13/10
13.
11/10
14.
3/2
15.
61/50
16.
23/10
17.
143/100
18.
83/20
19.
21/10
20.
17/10
---
✔ All answers are simplified fractions. You can write these in the blanks on your worksheet!
Let me know if you’d like a printable version or explanation for any specific one!
Parent Tip: Review the logic above to help your child master the concept of decimal worksheet.
