﻿ Converting a fraction to a percentage

# Converting a fraction to a percentage

We can apply the knowledge we have about the connections between fractions decimals and percentages.
When converting from a fraction to a percentage, we aim to find an equivalent fraction where the denominator is 100.
However, it is not always obvious how to scale a fraction so that the denominator is 100. We can therefore apply the knowledge we have about the connections between fractions decimals and percentages.
To convert a fraction to a percentage we need two facts:
• We can express a fraction as a decimal by dividing the numerator by the denominator.
• We can express a decimal as a percentage by multiplying by 100.
The following flow chart shows how $$\frac{13}{40}$$ can be expressed as 0.325 and 32.5%. ## Challenge

Express $$\frac{3}{7}$$ as a percentage. Post your answer below.
Highlight any problems or issues your think students may have completing this task.

## Problem worksheet

Now complete questions 5 and 6 from this week’s worksheet.
As a reminder, the worksheet can be found in the first unit of this week.

#### Maths Subject Knowledge: Fractions, Decimals, and Percentages  