Let's solve each problem on the worksheet step by step. The goal is to
convert fractions to decimals, where the denominators are 10, 100, or 1000. This is straightforward because these denominators correspond 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 item:
---
1. $ \frac{5}{100} $
- 5 divided by 100 = 0.05
✔ Answer: 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 $
✔ Answer: 2.3
---
3. $ \frac{105}{100} $
- $ 105 ÷ 100 = 1.05 $
✔ Answer: 1.05
---
4. $ \frac{7}{10} $
- 7 ÷ 10 = 0.7
✔ Answer: 0.7
---
5. $ 3\frac{44}{100} $
- $ 3 + \frac{44}{100} = 3 + 0.44 = 3.44 $
✔ Answer: 3.44
---
6. $ \frac{45}{10} $
- 45 ÷ 10 = 4.5
✔ Answer: 4.5
---
7. $ \frac{135}{1000} $
- 135 ÷ 1000 = 0.135
✔ Answer: 0.135
---
8. $ 4\frac{204}{1000} $
- $ 4 + \frac{204}{1000} = 4 + 0.204 = 4.204 $
✔ Answer: 4.204
---
9. $ \frac{3005}{1000} $
- 3005 ÷ 1000 = 3.005
✔ Answer: 3.005
---
10. $ \frac{47}{100} $
- 47 ÷ 100 = 0.47
✔ Answer: 0.47
---
11. $ 10\frac{67}{100} $
- $ 10 + \frac{67}{100} = 10 + 0.67 = 10.67 $
✔ Answer: 10.67
---
12. $ \frac{576}{100} $
- 576 ÷ 100 = 5.76
✔ Answer: 5.76
---
13. $ \frac{2}{10} $
- 2 ÷ 10 = 0.2
✔ Answer: 0.2
---
14. $ 1\frac{887}{1000} $
- $ 1 + \frac{887}{1000} = 1 + 0.887 = 1.887 $
✔ Answer: 1.887
---
15. $ \frac{883}{10} $
- 883 ÷ 10 = 88.3
✔ Answer: 88.3
---
16. $ \frac{22}{100} $
- 22 ÷ 100 = 0.22
✔ Answer: 0.22
---
17. $ 5\frac{1}{100} $
- $ 5 + \frac{1}{100} = 5 + 0.01 = 5.01 $
✔ Answer: 5.01
---
18. $ \frac{4321}{1000} $
- 4321 ÷ 1000 = 4.321
✔ Answer: 4.321
---
✔ Final Answers (in order):
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 Summary:
- When converting fractions with denominators of 10, 100, or 1000 to decimals, you simply move the decimal point in the numerator to the left by the number of zeros in the denominator.
- Example: $ \frac{47}{100} $ → 47 → move decimal 2 places left → 0.47
- For mixed numbers, convert the fractional part first, then add it to the whole number.
This method works because the base-10 system aligns perfectly with these denominators.
Parent Tip: Review the logic above to help your child master the concept of fraction and decimal worksheet.
