CONVERSION OF PERCENTAGE TO RATIO -
Converting a percentage to a ratio involves a few straightforward steps. The goal is to express the percentage as a ratio of two numbers, typically in the form a : b.
Steps to Convert a Percentage to a Ratio:-
1. Express the Percentage as a Fraction:-
Start by writing the percentage as a fraction with a denominator of 100.
For example, 75% can be written as 75/100.
2. Simplify the Fraction:-
Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
For example, 75/100 simplifies to 3/4 by dividing both the numerator and the denominator by 25.
3. Express the Fraction as a Ratio:-
Write the simplified fraction as a ratio, using a colon (:).
For example, 3/4 can be written as the ratio 3 : 4.
Example 1: Convert 60% to a Ratio
Step 1: Express the percentage as a fraction:-
60
60% = --------
100
Step 2: Simplify the fraction:-
60 60 ÷ 20 3
-------- = ----------- = ------
100 100 ÷ 20 5
Step 3: Express as a ratio:-
So, 60% as a ratio is 3 : 5. (Ans.)
Example 2: Convert 25% to a Ratio
Step 1: Express the percentage as a fraction:-
25
25% = ----------
100
Step 2: Simplify the fraction:-
25 25 ÷ 25 1
-------- = ------------ = -------
100 100 ÷ 25 4
Step 3: Express as a ratio:-
So, 25% as a ratio is 1 : 4. (Ans.)
Summery:-
To convert a percentage to a ratio, write the percentage as a fraction with a denominator of 100, simplify the fraction, and then express the simplified fraction as a ratio using a colon. This method is useful for comparing quantities in a different form, such as when you need to express relationships in ratios rather than percentages.