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Convert Percentage to Ratio

How to Convert Percentage to Ratio ?

Step I – In order Convert Percentage to Ratio, we need to divide the given percentage by 100.

= \cfrac { Given\quad Percentage }{ 100 }

Step II  – Reduce the Fraction obtained in Step I into its Simplest form.

Step III – Convert the Fraction ( obtained in step II ) into Ratio by replacing the slash mark with a colon.

Convert Percentage to Ratio Examples

Example 1

Express 40 % as a ratio.

Explanation

In order Convert Percentage to Ratio, we need to divide the given percentage by 100.

= \cfrac { Given\quad Percentage }{ 100 } = \cfrac{40}{100}

On Simplifying, \cfrac{40}{100}

HCF of 40 and 100 is 20

Divide both 40 and 100 by their HCF
\cfrac{40 \div 20 }{100 \div 20 } = \cfrac{2}{5} = 2 : 5

 

Example 2

Express 20 % as a ratio.

Explanation

In order Convert Percentage to Ratio, we need to divide the given percentage by 100.

= \cfrac { Given\quad Percentage }{ 100 } = \cfrac{20}{100}

On Simplifying, \cfrac{20}{100}

HCF of 20 and 100 is 20

Divide both 20 and 100 by their HCF
\cfrac{20 \div 20 }{100 \div 20 } = \cfrac{1}{5} = 1 : 5

Example 3

Express 35 % as a ratio.

Explanation

In order Convert Percentage to Ratio, we need to divide the given percentage by 100.

= \cfrac { Given\quad Percentage }{ 100 } = \cfrac{35}{100}

On Simplifying, \cfrac{35}{100}

HCF of 35 and 100 is 5

Divide both 35 and 100 by their HCF
\cfrac{35 \div 5 }{100 \div 5 } = \cfrac{7}{20} = 7 : 20

 

Example 4

Express 75 % as a ratio.

Explanation

In order Convert Percentage to Ratio, we need to divide the given percentage by 100.

= \cfrac { Given\quad Percentage }{ 100 } = \cfrac{75}{100}

On Simplifying, \cfrac{75}{100}

HCF of 75 and 100 is 25

Divide both 75 and 100 by their HCF
\cfrac{75 \div 25 }{100 \div 25 } = \cfrac{3}{4} = 3 : 4

 

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