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
---
🔍 How to Convert Fractions to Decimals:
- When the denominator is
10, move the numerator one place left of the decimal point.
- When it’s
100, move two places left.
- When it’s
1000, move three places left.
- For
mixed numbers, convert the fractional part first, then add it to the whole number.
For example:
- $ \frac{47}{100} = 0.47 $ (two decimal places)
- $ 3\frac{44}{100} = 3 + 0.44 = 3.44 $
This method works perfectly for denominators that are powers of 10.
Let me know if you'd like this as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of fraction to decimal worksheet grade 4.
