To convert decimals to fractions, we need to understand what the decimal places represent:
- The first digit after the decimal is “tenths” (like 1/10)
- The second digit after the decimal is “hundredths” (like 1/100)
So for example:
→ 0.83 means 83 hundredths → that’s 83/100
→ 0.4 means 4 tenths → that’s 4/10, which can be simplified to 2/5
Let’s go through each one step by step and simplify where possible.
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1. 0.83 = ?
→ 83 hundredths →
83/100
(Already in simplest form — 83 is prime)
2. 0.4 = ?
→ 4 tenths → 4/10 → divide numerator and denominator by 2 →
2/5
3. 0.24 = ?
→ 24 hundredths → 24/100 → divide by 4 →
6/25
4. 0.96 = ?
→ 96 hundredths → 96/100 → divide by 4 →
24/25
5. 0.6 = ?
→ 6 tenths → 6/10 → divide by 2 →
3/5
6. 0.2 = ?
→ 2 tenths → 2/10 → divide by 2 →
1/5
7. 0.7 = ?
→ 7 tenths →
7/10
(Simplest form)
8. 0.19 = ?
→ 19 hundredths →
19/100
(19 is prime, so no simplification)
9. 0.95 = ?
→ 95 hundredths → 95/100 → divide by 5 →
19/20
10. 0.1 = ?
→ 1 tenth →
1/10
11. 0.23 = ?
→ 23 hundredths →
23/100
(23 is prime)
12. 0.68 = ?
→ 68 hundredths → 68/100 → divide by 4 →
17/25
13. 0.2 = ?
→ Same as #6 →
1/5
14. 0.97 = ?
→ 97 hundredths →
97/100
(97 is prime)
15. 0.94 = ?
→ 94 hundredths → 94/100 → divide by 2 →
47/50
16. 0.5 = ?
→ 5 tenths → 5/10 → divide by 5 →
1/2
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Final Answer:
1. 83/100
2. 2/5
3. 6/25
4. 24/25
5. 3/5
6. 1/5
7. 7/10
8. 19/100
9. 19/20
10. 1/10
11. 23/100
12. 17/25
13. 1/5
14. 97/100
15. 47/50
16. 1/2
Parent Tip: Review the logic above to help your child master the concept of converting decimals into fractions worksheet.