Worksheet on Percentage into Ratio and we can see about how to convert a percentage to ratio. In the term percentage, percent means per hundred and this percent can be represented in decimal and in the fractions also. The term ratio refers to the comparison of values between the two numbers which indicate their sizes in relation to each other. In a simple way, the ratio is derived by comparing two qualities by division with the dividend. To find the ratio, we can multiply or divide each term in the ratio by the number.

To convert Percentage into Ratio, we will divide the percentage by 100 to remove the percent % symbol. And we will reduce the given fraction into the simplest form, and then we will write the number with a ratio sign in between the numbers. These are some steps to convert a percent into a ratio. Here below we can see some of the examples with solutions.

1. Covert each of the following percentage as the ratio in the least form:

(i) 50 %

(ii) 26 %

(iii) 160 %

## Solution:

(i) 50 %

To convert Percentage into Ratio, we will divide the percentage by 100

= 50/100

and will reduce the given fraction into the simplest form

= 1/2

and then we will write the number with a ratio sign. On simplifying, we will get

= 1:2.

(ii) 26 %

To convert Percentage into Ratio, we will divide the percentage by 100 and will reduce the given fraction into the simplest form, and then we will write the number with ratio sign

= 26/100

on simplifying we will get

= 1 : 5

(iii) 160 %

To convert Percentage into Ratio, we will divide the percentage by 100 and will reduce the given fraction into the simplest form, and then we will write the number with ratio sign

= 160/100

on simplifying we will get

= 8 : 5

2. Express each of the following rational numbers percentages into a ratio in the simplest form:

(i) 5/6 %

(ii) 25/4 %

## Solution:

(i) 5/6 %

To convert a rational number Percentage into a Ratio, we will divide the percentage by 100 and will reduce the given fraction into the simplest form, and then we will write the number with a ratio sign

= 5/6 × 1/100

on simplifying we will get

= 1 : 120

(ii) 25/4 %

To convert a rational number Percentage into a Ratio, we will divide the percentage by 100 and will reduce the given fraction into the simplest form, and then we will write the number with a ratio sign

= 25/4 × 1/100

on simplifying we will get

= 1 : 16

3. Convert the following decimal percentage as ratios in the simplest form:

(i) 20.5 %

(ii) 0.5 %

## Solution:

(i) 20.5 %

To convert a decimal number Percentage into Ratio. First, we will remove the decimal point by dividing with 10 and then we will divide the percentage by 100 and will reduce the given fraction into the simplest form, and then we will write the number with a ratio sign

= 205/10 %

= 205/10 × 1/100

on simplifying we will get

= 41 : 200.

(ii) 0.5 %

To convert a decimal number Percentage into Ratio First, we will remove the decimal point by dividing with 10 and then we will divide the percentage by 100 and will reduce the given fraction into the simplest form, and then we will write the number with ratio sign

= 5/10 %

= 5/10 × 1/100

on simplifying we will get

= 1 : 200.

4. In a class the total pass percentage of boys is 65%. Show the percent into ratio.

## Solution:

The pass percentage of the boys are 65%, so

= 65/100

on solving we will get

= 13:20