Students can use this worksheet to practice converting decimal numbers like 25.2 and 53.07 into fractions.

Let’s solve each problem step by step. We’re converting decimals to fractions.

How to convert a decimal to a fraction:

1. Write the decimal as a fraction over 1 (like this: decimal/1).
2. Multiply top and bottom by 10, 100, 1000… depending on how many digits are after the decimal point.
- 1 digit → multiply by 10
- 2 digits → multiply by 100
3. Simplify the fraction if possible.

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1. 25.2

→ 25.2 = 252/10
→ Divide numerator and denominator by 2 → 126/5

2. 53.07

→ 53.07 = 5307/100
→ Can’t simplify → 5307/100

3. 7.52

→ 7.52 = 752/100
→ Divide by 4 → 188/25 → 188/25

4. 9.9

→ 9.9 = 99/10
→ Already simplified → 99/10

5. 95.1

→ 95.1 = 951/10
→ Already simplified → 951/10

6. 12.5

→ 12.5 = 125/10
→ Divide by 5 → 25/2 → 25/2

7. 18.9

→ 18.9 = 189/10
→ Already simplified → 189/10

8. 74.6

→ 74.6 = 746/10
→ Divide by 2 → 373/5 → 373/5

9. 75.5

→ 75.5 = 755/10
→ Divide by 5 → 151/2 → 151/2

10. 25.04

→ 25.04 = 2504/100
→ Divide by 4 → 626/25 → 626/25

11. 86.92

→ 86.92 = 8692/100
→ Divide by 4 → 2173/25 → 2173/25

12. 80.34

→ 80.34 = 8034/100
→ Divide by 2 → 4017/50 → 4017/50

13. 98.32

→ 98.32 = 9832/100
→ Divide by 4 → 2458/25 → 2458/25

14. 38.31

→ 38.31 = 3831/100
→ Can’t simplify → 3831/100

15. 95.2

→ 95.2 = 952/10
→ Divide by 2 → 476/5 → 476/5

16. 70.64

→ 70.64 = 7064/100
→ Divide by 4 → 1766/25 → 1766/25

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Final Answer:

1. 126/5
2. 5307/100
3. 188/25
4. 99/10
5. 951/10
6. 25/2
7. 189/10
8. 373/5
9. 151/2
10. 626/25
11. 2173/25
12. 4017/50
13. 2458/25
14. 3831/100
15. 476/5
16. 1766/25