I'll solve the problem by converting each fraction to a decimal. Since the denominators are 10, 100, or 1000, this is straightforward - I just need to place the decimal point based on the denominator.
Let me work through each problem:
1. 5/100 = 0.05 (move decimal point 2 places left since denominator is 100)
2. 7/10 = 0.7 (move decimal point 1 place left since denominator is 10)
3. 135/1000 = 0.135 (move decimal point 3 places left since denominator is 1000)
4. 47/100 = 0.47 (move decimal point 2 places left since denominator is 100)
5. 2/10 = 0.2 (move decimal point 1 place left since denominator is 10)
6. 22/100 = 0.22 (move decimal point 2 places left since denominator is 100)
7. 2 3/10 = 2.3 (whole number 2 plus 3/10 = 0.3, so 2 + 0.3 = 2.3)
8. 3 44/100 = 3.44 (whole number 3 plus 44/100 = 0.44, so 3 + 0.44 = 3.44)
9. 4 284/1000 = 4.284 (whole number 4 plus 284/1000 = 0.284, so 4 + 0.284 = 4.284)
10. 10 67/100 = 10.67 (whole number 10 plus 67/100 = 0.67, so 10 + 0.67 = 10.67)
11. 1 887/1000 = 1.887 (whole number 1 plus 887/1000 = 0.887, so 1 + 0.887 = 1.887)
12. 5 1/100 = 5.01 (whole number 5 plus 1/100 = 0.01, so 5 + 0.01 = 5.01)
13. 105/100 = 1.05 (move decimal point 2 places left since denominator is 100)
14. 45/10 = 4.5 (move decimal point 1 place left since denominator is 10)
15. 3005/1000 = 3.005 (move decimal point 3 places left since denominator is 1000)
16. 576/100 = 5.76 (move decimal point 2 places left since denominator is 100)
17. 883/10 = 88.3 (move decimal point 1 place left since denominator is 10)
18. 4321/1000 = 4.321 (move decimal point 3 places left since denominator is 1000)
The key principle here is that when converting fractions with denominators of 10, 100, or 1000 to decimals:
- Denominator 10: move decimal point 1 place left
- Denominator 100: move decimal point 2 places left
- Denominator 1000: move decimal point 3 places left
For mixed numbers, convert the fractional part to decimal and add it to the whole number part.
Parent Tip: Review the logic above to help your child master the concept of fraction decimal worksheet.