Converting a Percentage to a Fraction
(KS3, Year 7)

The Lesson

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.

Question

What is 20% as a fraction?

Step-by-Step:

1

Write the percentage (20) as the top number of a fraction (called the numerator).

2

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

2

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

Answer:

20% converted to a fraction is 15.

Lesson Slides

The slider below gives another example of converting a percentage to a fraction. Open the slider in a new tab

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?

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.
Help Us To Improve Mathematics Monster

  • Do you disagree with something on this page?
  • Did you spot a typo?
Please tell us using this form

See Also

What is a percentage? What is a fraction? What is a numerator? What is a denominator? Simplifying fractions