Let’s solve each decimal-to-fraction conversion step by step.
Remember:
To convert a decimal to a fraction, write the number without the decimal point as the numerator.
The denominator is 10, 100, 1000, etc., depending on how many digits are after the decimal point.
Then simplify the fraction if possible.
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1. 0.4
→ 4/10 → Simplify: divide top and bottom by 2 →
2/5
2. 0.82
→ 82/100 → Simplify: divide by 2 →
41/50
3. 0.2
→ 2/10 → Simplify: divide by 2 →
1/5
4. 0.27
→ 27/100 → Can’t simplify (27 and 100 share no common factors) →
27/100
5. 0.37
→ 37/100 → Can’t simplify →
37/100
6. 0.8
→ 8/10 → Simplify: divide by 2 →
4/5
7. 0.67
→ 67/100 → Can’t simplify →
67/100
8. 0.3
→ 3/10 → Can’t simplify →
3/10
9. 0.11
→ 11/100 → Can’t simplify →
11/100
10. 0.7
→ 7/10 → Can’t simplify →
7/10
11. 0.98
→ 98/100 → Simplify: divide by 2 →
49/50
12. 0.91
→ 91/100 → Can’t simplify (91 = 7×13, 100 not divisible by those) →
91/100
13. 0.26
→ 26/100 → Simplify: divide by 2 →
13/50
14. 0.1
→ 1/10 → Can’t simplify →
1/10
15. 0.96
→ 96/100 → Simplify: divide by 4 →
24/25
16. 0.13
→ 13/100 → Can’t simplify →
13/100
17. 0.6
→ 6/10 → Simplify: divide by 2 →
3/5
18. 0.21
→ 21/100 → Can’t simplify (21=3×7, 100 not divisible by those) →
21/100
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Final Answer:
1. 2/5
2. 41/50
3. 1/5
4. 27/100
5. 37/100
6. 4/5
7. 67/100
8. 3/10
9. 11/100
10. 7/10
11. 49/50
12. 91/100
13. 13/50
14. 1/10
15. 24/25
16. 13/100
17. 3/5
18. 21/100
Parent Tip: Review the logic above to help your child master the concept of 4th grade math fraction worksheet.