I'll solve each decimal to fraction conversion step by step, then verify my answers.
Working through each problem:
1.
0.32: This is 32/100. Simplifying: both divisible by 4 → 8/25 ✓
2.
1.44: This is 1 + 44/100 = 1 + 11/25 = 25/25 + 11/25 = 36/25 or as mixed number: 1 11/25 ✓
3.
0.7: This is 7/10 (already simplified) ✓
4.
0.56: This is 56/100. Simplifying: both divisible by 4 → 14/25 ✓
5.
0.008: This is 8/1000. Simplifying: both divisible by 8 → 1/125 ✓
6.
0.12: This is 12/100. Simplifying: both divisible by 4 → 3/25 ✓
7.
1.04: This is 1 + 4/100 = 1 + 1/25 = 25/25 + 1/25 = 26/25 or as mixed number: 1 1/25 ✓
8.
0.14: This is 14/100. Simplifying: both divisible by 2 → 7/50 ✓
9.
3.65: This is 3 + 65/100 = 3 + 13/20 = 60/20 + 13/20 = 73/20 or as mixed number: 3 13/20 ✓
10.
0.4: This is 4/10. Simplifying: both divisible by 2 → 2/5 ✓
11.
0.004: This is 4/1000. Simplifying: both divisible by 4 → 1/250 ✓
12.
0.133: This is 133/1000 (already in simplest form - 133 and 1000 share no common factors) ✓
Let me double-check the simplifications:
- 32/100 ÷ 4 = 8/25 ✓
- 44/100 ÷ 4 = 11/25 ✓
- 56/100 ÷ 4 = 14/25 ✓
- 8/1000 ÷ 8 = 1/125 ✓
- 12/100 ÷ 4 = 3/25 ✓
- 4/100 ÷ 4 = 1/25 ✓
- 14/100 ÷ 2 = 7/50 ✓
- 65/100 ÷ 5 = 13/20 ✓
- 4/10 ÷ 2 = 2/5 ✓
- 4/1000 ÷ 4 = 1/250 ✓
All calculations verified!
Final Answer:
1. 0.32 = 8/25
2. 1.44 = 36/25 or 1 11/25
3. 0.7 = 7/10
4. 0.56 = 14/25
5. 0.008 = 1/125
6. 0.12 = 3/25
7. 1.04 = 26/25 or 1 1/25
8. 0.14 = 7/50
9. 3.65 = 73/20 or 3 13/20
10. 0.4 = 2/5
11. 0.004 = 1/250
12. 0.133 = 133/1000
Parent Tip: Review the logic above to help your child master the concept of decimal money worksheet.
