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# Changing Fractions into Percentages and Decimals

### 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 $28\%$