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Simplifying Ratios

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Many ratios can be written with smaller numbers. This is called writing ratios in their simplest form , or simplifying ratios. Simplifying ratios makes them easier to work with. Note: To simplify ratios you can use the same technique that is used to simplify fractions.
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As the two examples below show, you simplify ratios by dividing the number on each side by their greatest common factor.

Simplify 15 : 9
Ratio 15 : 9
Factors of 15 1 , 3 , 5 , 15
Factors of 9 1 , 3 , 9
Greatest Common Factor (G.C.F) 3
Divide both by G.C.F 15 ÷ 3 = 5
9 ÷ 3 = 3
Ratio in simplest form 5 : 3
Simplify 8 : 36
Ratio 8 : 36
Factors of 8 1 , 2 , 4, 8
Factors of 36 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36
Greatest Common Factor (G.C.F) 4
Divide both by G.C.F 8 ÷ 4 = 2
36 ÷ 4 = 9
Ratio in simplest form 2 : 9
Simplifying Ratio Worksheets

You will find more ratio and proportion worksheets here.



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