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

homepercentagesconverting a percentage to a fraction
A percentage can be converted to a fraction.

convert percentage to 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).

percentages fraction 20 numerator

2

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

percentages fraction 20 numerator 100 denominator

2

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

percentages simplifying 20 over 100

Answer:

20% converted to a fraction is 15.

Lesson Slides

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

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.

fractions explained 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.
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This page was written by Stephen Clarke.

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