Let's solve each problem step by step, converting decimals to fractions and simplifying where possible.
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How to Convert Decimals to Fractions:
1. Write the decimal as a fraction with the denominator as a power of 10 (based on the number of decimal places).
2. Simplify the fraction by dividing numerator and denominator by their greatest common divisor (GCD).
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Now, let's go through each one:
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1. 0.24
= 24/100 = (24 ÷ 4)/(100 ÷ 4) =
6/25
2. 0.35
= 35/100 = (35 ÷ 5)/(100 ÷ 5) =
7/20
3. 0.79
= 79/100 → already simplified →
79/100
4. 0.02
= 2/100 = (2 ÷ 2)/(100 ÷ 2) =
1/50
5. 0.7
= 7/10 → already simplified →
7/10
6. 0.82
= 82/100 = (82 ÷ 2)/(100 ÷ 2) =
41/50
7. 0.21
= 21/100 → already simplified →
21/100
8. 0.46
= 46/100 = (46 ÷ 2)/(100 ÷ 2) =
23/50
9. 0.12
= 12/100 = (12 ÷ 4)/(100 ÷ 4) =
3/25
10. 0.99
= 99/100 → already simplified →
99/100
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Now for the ones with whole numbers (mixed numbers):
11. 1.6
= 1 + 0.6 = 1 + 6/10 = 1 + 3/5 =
1 3/5 or
13/5 (improper)
12. 2.4
= 2 + 0.4 = 2 + 4/10 = 2 + 2/5 =
2 2/5 or
12/5
13. 3.1
= 3 + 0.1 = 3 + 1/10 =
3 1/10 or
31/10
14. 4.4
= 4 + 0.4 = 4 + 2/5 =
4 2/5 or
22/5
15. 2.8
= 2 + 0.8 = 2 + 8/10 = 2 + 4/5 =
2 4/5 or
14/5
16. 1.7
= 1 + 0.7 = 1 + 7/10 =
1 7/10 or
17/10
17. 6.5
= 6 + 0.5 = 6 + 1/2 =
6 1/2 or
13/2
18. 1.17
= 1 + 0.17 = 1 + 17/100 =
1 17/100 or
117/100
19. 6.2
= 6 + 0.2 = 6 + 1/5 =
6 1/5 or
31/5
20. 1.23
= 1 + 0.23 = 1 + 23/100 =
1 23/100 or
123/100
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✔ Final Answers:
1. 0.24 =
6/25
2. 0.35 =
7/20
3. 0.79 =
79/100
4. 0.02 =
1/50
5. 0.7 =
7/10
6. 0.82 =
41/50
7. 0.21 =
21/100
8. 0.46 =
23/50
9. 0.12 =
3/25
10. 0.99 =
99/100
11. 1.6 =
1 3/5 or
13/5
12. 2.4 =
2 2/5 or
12/5
13. 3.1 =
3 1/10 or
31/10
14. 4.4 =
4 2/5 or
22/5
15. 2.8 =
2 4/5 or
14/5
16. 1.7 =
1 7/10 or
17/10
17. 6.5 =
6 1/2 or
13/2
18. 1.17 =
1 17/100 or
117/100
19. 6.2 =
6 1/5 or
31/5
20. 1.23 =
1 23/100 or
123/100
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✔ Note: The question says "simplify your answer." So both mixed numbers and improper fractions are acceptable, but typically
mixed numbers are preferred unless specified otherwise.
Let me know if you'd like these formatted in a printable way!
Parent Tip: Review the logic above to help your child master the concept of decimals work sheet.
