Let's solve each problem on the worksheet step by step. The goal is to
convert fractions to decimals, especially when the denominators are 10, 100, or 1000. These are easy to convert because they relate directly to decimal places:
- Denominator of
10 → one decimal place
- Denominator of
100 → two decimal places
- Denominator of
1000 → three decimal places
We'll go through each question.
---
1. $\frac{5}{100}$
→ 5 divided by 100 =
0.05
2. $2\frac{3}{10}$
→ This is a mixed number: $2 + \frac{3}{10}$
→ $\frac{3}{10} = 0.3$, so $2 + 0.3 = $
2.3
3. $\frac{105}{100}$
→ $105 ÷ 100 = 1.05$
4. $\frac{7}{10}$
→ 7 ÷ 10 =
0.7
5. $3\frac{44}{100}$
→ $3 + \frac{44}{100} = 3 + 0.44 = $
3.44
6. $\frac{45}{10}$
→ 45 ÷ 10 =
4.5
7. $\frac{135}{1000}$
→ 135 ÷ 1000 =
0.135
8. $4\frac{204}{1000}$
→ $4 + \frac{204}{1000} = 4 + 0.204 = $
4.204
9. $\frac{3005}{1000}$
→ 3005 ÷ 1000 =
3.005
10. $\frac{47}{100}$
→ 47 ÷ 100 =
0.47
11. $10\frac{67}{100}$
→ $10 + \frac{67}{100} = 10 + 0.67 = $
10.67
12. $\frac{576}{100}$
→ 576 ÷ 100 =
5.76
13. $\frac{2}{10}$
→ 2 ÷ 10 =
0.2
14. $1\frac{887}{1000}$
→ $1 + \frac{887}{1000} = 1 + 0.887 = $
1.887
15. $\frac{883}{10}$
→ 883 ÷ 10 =
88.3
16. $\frac{22}{100}$
→ 22 ÷ 100 =
0.22
17. $5\frac{1}{100}$
→ $5 + \frac{1}{100} = 5 + 0.01 = $
5.01
18. $\frac{4321}{1000}$
→ 4321 ÷ 1000 =
4.321
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1 | 0.05 |
| 2 | 2.3 |
| 3 | 1.05 |
| 4 | 0.7 |
| 5 | 3.44 |
| 6 | 4.5 |
| 7 | 0.135 |
| 8 | 4.204 |
| 9 | 3.005 |
| 10 | 0.47 |
| 11 | 10.67 |
| 12 | 5.76 |
| 13 | 0.2 |
| 14 | 1.887 |
| 15 | 88.3 |
| 16 | 0.22 |
| 17 | 5.01 |
| 18 | 4.321 |
---
🔍 Explanation:
- When converting fractions with denominators of 10, 100, or 1000, you can use
place value.
- For example: $\frac{47}{100}$ means 47 hundredths → write as
0.47
- Mixed numbers: Convert the fractional part first, then add it to the whole number.
- Example: $2\frac{3}{10} = 2 + 0.3 = 2.3$
- For improper fractions like $\frac{105}{100}$, divide numerator by denominator: 105 ÷ 100 = 1.05
This method works efficiently for these types of problems! 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 fraction to decimals worksheet.
