# CLASS-6CONVERTING RATIO INTO PERCENTAGE

CONVERTING RATIO INTO PERCENTAGE -

Converting a ratio into a percentage involves expressing the ratio as a fraction, then multiplying by 100 to get the percentage value. Here's how you can do it:

Example.1) Convert the ratio 2:5 to a percentage

Step 1:- Write the Ratio as a Fraction Let's say you have a ratio, such as 2:5.

Step 2:- Express as a Fraction To convert the ratio 2:5 to a fraction, write it as 2/5​.

Step 3:- Convert to Percentage To convert the fraction to a percentage, multiply it by 100:

2

-------- X 100 = 40%

5

So, the ratio 2:5 is equivalent to 40% as a percentage.

Here's another example:-

Example.2) Convert the ratio 3:8 to a percentage.

Ans.)

Step 1:- Write the Ratio as a Fraction The ratio 3:8 can be written as 3/8​.

Step 2:- Convert to Percentage Multiply the fraction by 100:

3

-------- X 100 = 37.5%

8

Rounded to two decimal places, the ratio 3:8 is approximately 37.5% as a percentage.    (Ans.)

a

In general, to convert a ratio -------- to a percentage:

b

a

--------- × 100

b

This represents the ratio as a fraction of 100, expressed as a percentage.