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How to Convert a Fraction to a Percentage (Mathematics Lesson)

Converting a Fraction to a Percentage

A fraction can be converted to a percentage.

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%.

An Example Question

What is 1/5 as a percentage?
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
Step 2
Multiply the answer (0.2) by 100%.
0.2 × 100% = 20%
Don't forget: a percentage has a % ("percent") sign after it.

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.

This formula finds the fraction of 100%. It is a special case of finding the fraction of a number, where the number is 100%.

Read more about finding the fraction of a number

A Real Example of How to Convert a Fraction to a Percentage

The slider below gives another example of converting a fraction to a percentage.

Interactive Test
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Here's a second test on converting a fraction to a percentage.
Here's a third test on converting a fraction to a percentage.
Note

What Is a Fraction?

A fraction is a part of a whole number.

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 %.