Let's solve each problem by converting the given decimals to fractions and simplifying them.
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How to Convert Decimals to Fractions:
1. Write the decimal as a fraction with the denominator being 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. 0.4
= 4/10 =
2/5 (divide numerator and denominator by 2)
2. 0.8
= 8/10 =
4/5 (divide by 2)
3. 0.2
= 2/10 =
1/5 (divide by 2)
4. 0.58
= 58/100 =
29/50 (divide by 2)
5. 0.34
= 34/100 =
17/50 (divide by 2)
6. 0.22
= 22/100 =
11/50 (divide by 2)
7. 0.75
= 75/100 =
3/4 (divide by 25)
8. 0.79
= 79/100 → already simplified (79 is prime) →
79/100
9. 0.36
= 36/100 =
9/25 (divide by 4)
10. 0.51
= 51/100 → already simplified (51 and 100 have no common factors other than 1) →
51/100
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Now the ones with whole numbers (mixed decimals):
11. 1.8
= 1 + 0.8 = 1 + 8/10 = 1 + 4/5 =
1 4/5 or
9/5 (as improper fraction)
12. 1.24
= 1 + 24/100 = 1 + 6/25 =
1 6/25 or
31/25
13. 3.1
= 3 + 0.1 = 3 + 1/10 =
3 1/10 or
31/10
14. 2.4
= 2 + 0.4 = 2 + 4/10 = 2 + 2/5 =
2 2/5 or
12/5
15. 3.3
= 3 + 0.3 = 3 + 3/10 =
3 3/10 or
33/10
16. 1.1
= 1 + 0.1 = 1 + 1/10 =
1 1/10 or
11/10
17. 2.5
= 2 + 0.5 = 2 + 1/2 =
2 1/2 or
5/2
18. 4.8
= 4 + 0.8 = 4 + 8/10 = 4 + 4/5 =
4 4/5 or
24/5
19. 5.1
= 5 + 0.1 = 5 + 1/10 =
5 1/10 or
51/10
20. 2.2
= 2 + 0.2 = 2 + 2/10 = 2 + 1/5 =
2 1/5 or
11/5
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✔ Final Answers (Simplified Fractions):
| Problem | Answer |
|--------|--------|
| 1. 0.4 |
2/5 |
| 2. 0.8 |
4/5 |
| 3. 0.2 |
1/5 |
| 4. 0.58 |
29/50 |
| 5. 0.34 |
17/50 |
| 6. 0.22 |
11/50 |
| 7. 0.75 |
3/4 |
| 8. 0.79 |
79/100 |
| 9. 0.36 |
9/25 |
|10. 0.51 |
51/100 |
|11. 1.8 |
9/5 or
1 4/5 |
|12. 1.24 |
31/25 or
1 6/25 |
|13. 3.1 |
31/10 or
3 1/10 |
|14. 2.4 |
12/5 or
2 2/5 |
|15. 3.3 |
33/10 or
3 3/10 |
|16. 1.1 |
11/10 or
1 1/10 |
|17. 2.5 |
5/2 or
2 1/2 |
|18. 4.8 |
24/5 or
4 4/5 |
|19. 5.1 |
51/10 or
5 1/10 |
|20. 2.2 |
11/5 or
2 1/5 |
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✔ Note: The instructions say "simplify your answer." So both mixed numbers and improper fractions are acceptable, but
improper fractions are often preferred unless specified otherwise. However, in elementary math, mixed numbers are typically expected for values greater than 1.
So depending on what is expected, you can write either form — but I’ve included both for clarity.
Let me know if you want only improper fractions or only mixed numbers!
Parent Tip: Review the logic above to help your child master the concept of converting decimals into fractions worksheet.
