How to Convert a Fraction to a Percentage
Converting a fraction to a percentage is easy. Divide the top number of the fraction by the bottom number of the fraction and then multiply by 100%.Question
What is 1⁄5 as a percentage?Step-by-Step:
1
Divide the top number (called the numerator) of the fraction (1) by the bottom number (called the denominator) of the fraction (5).
1 ÷ 5 = 0.2
2
Multiply the answer (0.2) by 100%.
0.2 × 100% = 20%
Don't forget: a percentage has a % ("percent") sign after it.
Answer:
1⁄5 converted to a percentage is 20%.How to Convert a Fraction to a Percentage Using a Formula
To convert a fraction to a percentage you have to multiply the fraction by 100%.
The method for calculating this formula is exactly the same as in the example above.
What Is a Fraction?
Fractions consist of a numerator and a denominator.
The denominator tells you how many equal parts the whole is divided into, and the numerator tells you how many of these parts there are.
What Is a Percentage?
A percentage expresses a part of a whole number as parts out of 100. "Per cent" means "per 100" or "out of 100". A percentage is shown by the symbol %.Why Does the Formula Work?
To convert a fraction to a percentage, the formula tells us to multiply the fraction with 100%.
Percentage = Fraction × 100%
It is a special case of finding the fraction of a number, where the number is 100%.
Learn more about finding the fraction of a number
This page was written by Stephen Clarke.
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