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.