Simplifying Ratios Worksheets - Math Monks - Free Printable

To simplify a ratio, you need to divide both parts of the ratio by their greatest common divisor (GCD) — the largest number that divides both numbers evenly.

Let’s go through each ratio one by one and simplify it.

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Row 1:

3 : 15
GCD of 3 and 15 is 3 → 3÷3 = 1, 15÷3 = 5 → 1 : 5

15 : 30
GCD of 15 and 30 is 15 → 15÷15 = 1, 30÷15 = 2 → 1 : 2

6 : 36
GCD of 6 and 36 is 6 → 6÷6 = 1, 36÷6 = 6 → 1 : 6

15 : 20
GCD of 15 and 20 is 5 → 15÷5 = 3, 20÷5 = 4 → 3 : 4

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Row 2:

12 : 36
GCD of 12 and 36 is 12 → 12÷12 = 1, 36÷12 = 3 → 1 : 3

10 : 110
GCD of 10 and 110 is 10 → 10÷10 = 1, 110÷10 = 11 → 1 : 11

9 : 27
GCD of 9 and 27 is 9 → 9÷9 = 1, 27÷9 = 3 → 1 : 3

5 : 125
GCD of 5 and 125 is 5 → 5÷5 = 1, 125÷5 = 25 → 1 : 25

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Row 3:

25 : 50
GCD of 25 and 50 is 25 → 25÷25 = 1, 50÷25 = 2 → 1 : 2

18 : 72
GCD of 18 and 72 is 18 → 18÷18 = 1, 72÷18 = 4 → 1 : 4

8 : 30
GCD of 8 and 30 is 2 → 8÷2 = 4, 30÷2 = 15 → 4 : 15

10 : 48
GCD of 10 and 48 is 2 → 10÷2 = 5, 48÷2 = 24 → 5 : 24

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Row 4:

12 : 72
GCD of 12 and 72 is 12 → 12÷12 = 1, 72÷12 = 6 → 1 : 6

24 : 72
GCD of 24 and 72 is 24 → 24÷24 = 1, 72÷24 = 3 → 1 : 3

22 : 44
GCD of 22 and 44 is 22 → 22÷22 = 1, 44÷22 = 2 → 1 : 2

8 : 36
GCD of 8 and 36 is 4 → 8÷4 = 2, 36÷4 = 9 → 2 : 9

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Row 5:

5 : 180
GCD of 5 and 180 is 5 → 5÷5 = 1, 180÷5 = 36 → 1 : 36

22 : 220
GCD of 22 and 220 is 22 → 22÷22 = 1, 220÷22 = 10 → 1 : 10

35 : 40
GCD of 35 and 40 is 5 → 35÷5 = 7, 40÷5 = 8 → 7 : 8

6 : 45
GCD of 6 and 45 is 3 → 6÷3 = 2, 45÷3 = 15 → 2 : 15

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Row 6:

27 : 36
GCD of 27 and 36 is 9 → 27÷9 = 3, 36÷9 = 4 → 3 : 4

5 : 35
GCD of 5 and 35 is 5 → 5÷5 = 1, 35÷5 = 7 → 1 : 7

21 : 30
GCD of 21 and 30 is 3 → 21÷3 = 7, 30÷3 = 10 → 7 : 10

16 : 12
GCD of 16 and 12 is 4 → 16÷4 = 4, 12÷4 = 3 → 4 : 3

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## ✔ Final Answers (in order):

Row 1:
1:5  1:2  1:6  3:4

Row 2:
1:3  1:11  1:3  1:25

Row 3:
1:2  1:4  4:15  5:24

Row 4:
1:6  1:3  1:2  2:9

Row 5:
1:36  1:10  7:8  2:15

Row 6:
3:4  1:7  7:10  4:3

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✔ You can now fill in the worksheet with these simplified ratios. Let me know if you want a printable version or explanation for any specific one!