Number

YOU ARE LEARNING:

Changing Fractions into Percentages and Decimals

This lesson helps you work out for example 7 twenty-fifths in percent.

$100\%$ is the same as $1$

How do you find out what for example $\frac{2}{5}$ is in $\%$ ?

How would you find out how much $\frac{1}{5}$ is out of $100\%$ ?

A) Divide $100\%$ by $5$ B) Divide $5$ by $100\%$

What is $\frac{100\%}{5}$ ?

So $\frac{1}{5}=20\%$ . How much is $\frac{2}{5}$ in $\%$ then?

You found $\frac{2}{5}$ in $\%$ like this

First you found $\frac{1}{5}$ of $100\%$ by saying $\frac{100\%}{5}=20\%$ Then you found $\frac{2}{5}$ of $100\%$ by saying $20\% \times 2=40\%$

How much is $\frac{7}{25}$ in $\%$ ?

First you need to find $\frac{1}{25}$ of $100\%$
Then you find $\frac{7}{25}$ of $100\%$

What is $\frac{1}{25}$ of $100\%$ ?

So $\frac{1}{25}$ or $\frac{100\%}{25}$ is $4\%$ . How much is $\frac{7}{25}$ in $\%$ then?

So $\frac{7}{25}$ is the same as $28\%$

$\frac{1}{25}$ is $4\%$ , so $\frac{7}{25}$ is $4\% \times 7 = 28\%$

How much is $\frac{3}{8}$ in $\%$ ?

How much is $\frac{9}{20}$ in $\%$ ?

Summary!

You can change fractions into percentages.

For example, find $\frac{7}{25}$ in $\%$

First you find $\frac{1}{25}$ of $100\%$ Then you find $\frac{7}{25}$ of $100\%$

So $\frac{7}{25}$ is the same as $28\%$