Simplifying Ratios worksheet for students to practice reducing ratios to their simplest form.

Let’s simplify each ratio step by step. To simplify a ratio, we divide both numbers by their greatest common factor (GCF). We’ll go one by one.

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1. 3 : 15
GCF of 3 and 15 is 3.
3 ÷ 3 = 1
15 ÷ 3 = 5
→ 1 : 5

2. 15 : 30
GCF of 15 and 30 is 15.
15 ÷ 15 = 1
30 ÷ 15 = 2
→ 1 : 2

3. 6 : 36
GCF of 6 and 36 is 6.
6 ÷ 6 = 1
36 ÷ 6 = 6
→ 1 : 6

4. 15 : 20
GCF of 15 and 20 is 5.
15 ÷ 5 = 3
20 ÷ 5 = 4
→ 3 : 4

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5. 12 : 36
GCF of 12 and 36 is 12.
12 ÷ 12 = 1
36 ÷ 12 = 3
→ 1 : 3

6. 10 : 110
GCF of 10 and 110 is 10.
10 ÷ 10 = 1
110 ÷ 10 = 11
→ 1 : 11

7. 9 : 27
GCF of 9 and 27 is 9.
9 ÷ 9 = 1
27 ÷ 9 = 3
→ 1 : 3

8. 5 : 125
GCF of 5 and 125 is 5.
5 ÷ 5 = 1
125 ÷ 5 = 25
→ 1 : 25

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9. 25 : 50
GCF of 25 and 50 is 25.
25 ÷ 25 = 1
50 ÷ 25 = 2
→ 1 : 2

10. 18 : 72
GCF of 18 and 72 is 18.
18 ÷ 18 = 1
72 ÷ 18 = 4
→ 1 : 4

11. 8 : 30
GCF of 8 and 30 is 2.
8 ÷ 2 = 4
30 ÷ 2 = 15
→ 4 : 15

12. 10 : 48
GCF of 10 and 48 is 2.
10 ÷ 2 = 5
48 ÷ 2 = 24
→ 5 : 24

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13. 12 : 72
GCF of 12 and 72 is 12.
12 ÷ 12 = 1
72 ÷ 12 = 6
→ 1 : 6

14. 24 : 72
GCF of 24 and 72 is 24.
24 ÷ 24 = 1
72 ÷ 24 = 3
→ 1 : 3

15. 22 : 44
GCF of 22 and 44 is 22.
22 ÷ 22 = 1
44 ÷ 22 = 2
→ 1 : 2

16. 8 : 36
GCF of 8 and 36 is 4.
8 ÷ 4 = 2
36 ÷ 4 = 9
→ 2 : 9

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17. 5 : 180
GCF of 5 and 180 is 5.
5 ÷ 5 = 1
180 ÷ 5 = 36
→ 1 : 36

18. 22 : 220
GCF of 22 and 220 is 22.
22 ÷ 22 = 1
220 ÷ 22 = 10
→ 1 : 10

19. 35 : 40
GCF of 35 and 40 is 5.
35 ÷ 5 = 7
40 ÷ 5 = 8
→ 7 : 8

20. 6 : 45
GCF of 6 and 45 is 3.
6 ÷ 3 = 2
45 ÷ 3 = 15
→ 2 : 15

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21. 27 : 36
GCF of 27 and 36 is 9.
27 ÷ 9 = 3
36 ÷ 9 = 4
→ 3 : 4

22. 5 : 35
GCF of 5 and 35 is 5.
5 ÷ 5 = 1
35 ÷ 5 = 7
→ 1 : 7

23. 21 : 30
GCF of 21 and 30 is 3.
21 ÷ 3 = 7
30 ÷ 3 = 10
→ 7 : 10

24. 16 : 12
GCF of 16 and 12 is 4.
16 ÷ 4 = 4
12 ÷ 4 = 3
→ 4 : 3

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Final Answer:
1 : 5
1 : 2
1 : 6
3 : 4
1 : 3
1 : 11
1 : 3
1 : 25
1 : 2
1 : 4
4 : 15
5 : 24
1 : 6
1 : 3
1 : 2
2 : 9
1 : 36
1 : 10
7 : 8
2 : 15
3 : 4
1 : 7
7 : 10
4 : 3