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

Converting a Percentage to a Fraction

A percentage can be converted to a fraction.

How to Convert a Percentage to a Fraction

Converting a percentage to a fraction is easy. Write the percentage as the top number of the fraction, 100 as the bottom number and then simplify the fraction.

An Example Question

What is 20% as a fraction?
Step 1
Write the percentage (20) as the top number of a fraction (called the numerator).



Step 2
Write 100 as the bottom number of the fraction (called the denominator).



Step 3
Simplify the fraction if possible. The fraction in our example can be simplified by dividing both top and bottom by 20.



20% converted to a fraction is 1/5.

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

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

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

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 %.

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.