Printable math worksheet featuring 20 exercises for converting decimals into simplified fractions.

Let’s solve each decimal-to-fraction problem step by step. We’ll convert each decimal to a fraction and then simplify it if possible.

---

1. 0.12
→ 0.12 = 12/100
→ Simplify: divide numerator and denominator by 4 → 3/25

2. 0.15
→ 0.15 = 15/100
→ Simplify: divide by 5 → 3/20

3. 0.45
→ 0.45 = 45/100
→ Simplify: divide by 5 → 9/20

4. 0.01
→ 0.01 = 1/100 → already simplified → 1/100

5. 0.04
→ 0.04 = 4/100
→ Simplify: divide by 4 → 1/25

6. 0.77
→ 0.77 = 77/100 → no common factors → 77/100

7. 0.16
→ 0.16 = 16/100
→ Simplify: divide by 4 → 4/25

8. 0.07
→ 0.07 = 7/100 → already simplified → 7/100

9. 0.63
→ 0.63 = 63/100 → no common factors (63=7×9, 100=2²×5²) → 63/100

10. 0.19
→ 0.19 = 19/100 → prime number, can’t simplify → 19/100

---

Now the second column:

11. 1.3
→ 1.3 = 13/10 → already simplified → 13/10 or as mixed number: 1 3/10 (but since question says “fractions”, we’ll leave as improper unless specified — but both are acceptable; let’s use improper for consistency)

Actually, looking at other problems like 1.3, 6.2 etc., they’re greater than 1, so we can write them as improper fractions.

But note: sometimes teachers prefer mixed numbers for values >1. However, the instruction says “convert to fractions” — which includes improper fractions. Let’s check simplification only.

1.3 = 13/10 → already simplified → 13/10

12. 6.2
→ 6.2 = 62/10
→ Simplify: divide by 2 → 31/5

13. 3.5
→ 3.5 = 35/10
→ Simplify: divide by 5 → 7/2

14. 2.1
→ 2.1 = 21/10 → already simplified → 21/10

15. 1.8
→ 1.8 = 18/10
→ Simplify: divide by 2 → 9/5

16. 1.5
→ 1.5 = 15/10
→ Simplify: divide by 5 → 3/2

17. 4.5
→ 4.5 = 45/10
→ Simplify: divide by 5 → 9/2

18. 2.7
→ 2.7 = 27/10 → already simplified → 27/10

19. 5.5
→ 5.5 = 55/10
→ Simplify: divide by 5 → 11/2

20. 2.3
→ 2.3 = 23/10 → already simplified → 23/10

---

✔ All answers checked and simplified where possible.

Final Answer:
1. 3/25
2. 3/20
3. 9/20
4. 1/100
5. 1/25
6. 77/100
7. 4/25
8. 7/100
9. 63/100
10. 19/100
11. 13/10
12. 31/5
13. 7/2
14. 21/10
15. 9/5
16. 3/2
17. 9/2
18. 27/10
19. 11/2
20. 23/10