CONVERSION OF FRACTION TO PERCENTAGE -
Converting a fraction to a percentage involves two main steps: dividing the numerator by the denominator to get a decimal, and then multiplying the result by 100 to convert the decimal to a percentage.
Steps to Convert a Fraction to a Percentage:-
1. Divide the Numerator by the Denominator:-
This step converts the fraction into a decimal. For a fraction a/b, divide a by b to get a decimal value.
2. Multiply by 100:-
To convert the decimal to a percentage, multiply the result by 100. Alternatively, you can think of this step as moving the decimal point two places to the right.
3. Add the Percentage Sign:-
Finally, add the percentage sign (%) to indicate that the value is a percentage.
Example 1: Convert 3/4 to a Percentage
Step.1) Divide the numerator by the denominator:-
3/4 = 0.75
Step.2) Multiply by 100 to get the percentage:-
0.75 × 100 = 75
Step.3) Add the percentage sign:-
75%
So, 3/4 is equal to 75%. (Ans.)
Example 2: Convert 5/8 to a Percentage
Step.1) Divide the numerator by the denominator:-
5/8 = 0.625
Step.2) Multiply by 100 to get the percentage:-
0.625 × 100 = 62.5.
Step.3) Add the percentage sign:-
62.5%
So, 5/8 is equal to 62.5%. (Ans.)
Summary:-
To convert a fraction to a percentage, divide the numerator by the denominator to get a decimal, then multiply by 100 and add the percentage sign. This method provides a straightforward way to express parts of a whole as percentages, which are commonly used in various applications like statistics, finance, and everyday calculations.