# Convert Percentages of a Circle into Fractions

In this worksheet, students will work out the fraction of a pie chart that is shaded by converting percentages.

Key stage:  KS 2

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Know Fraction-Decimal-Percentage Equivalents

Difficulty level:

#### Worksheet Overview

In this activity, we will be finding fractions of the shaded parts of the pie.

We know the percentages of the parts. The percentages, when added, equal 100% altogether.

The dark blue section is 25%, which is 25/100.

25/100 can be reduced to 1/4.

We will need to convert the percentages into fractions.

Remember that a percentage simply means out of 100, so we can write 100 as the denominator of the fraction.

Example

To convert 16% into a fraction we write it as 16/100

We can then simplify it by dividing both the top and the bottom by 4 to give us 4/25 as our fraction.

Let's have a look at some questions on this.

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