Convert Percentages to Fractions and Decimals

This activity is about converting percentages to fractions and decimals.

 

 

Meaning that each percentage is out of 100.

This makes it easy when converting to fractions!

 

For example, 2% = 2 out of 100 or 55% = 55 out of 100

 

 

Let's look at a typical question.

 

Example

Convert 30% to a fraction in its simplest form.

 

Answer

As 30% means 30 out of 100 we can write it as:

 

 

To finish it, we have to simplify by dividing the numerator and denominator by their highest common factor.

In this case, it is 10 

So, we divide by 10 (30 ÷ 10 = 3 and 100 ÷ 10 = 10)

Giving us:

 

 

 

We can also convert percentages to decimals, knowing that it is out of 100.

Let's look at a typical question and it will become clear!

 

Example 2

Convert 63% to a decimal.

 

Answer

We know that:

 

We know that means 63 ÷ 100 = 0.63

 

In short - we divide the % by 100.

 

A top tip when dealing with percentages is to remember the magic number of 100!

 

If we need to convert a fraction or a decimal to a percentage, we multiply by 100.

If we need to convert from a percentage to a fraction or a decimal, we divide by 100.

 

Easy, isn't it?

 

 

Let's try some questions now.