In this activity, we will convert between fractions, decimals and percentages.

__Example__

There are some everyday fractions, decimals and percentages which you should be able to convert quickly and easily.

For example, **1/2** , **0.5 **and **50% **all mean the same thing:

1/2 is the fraction

0.5 is the decimal

50% is the percentage

For those that we haven't learned, we need to know how to convert between them.

The magic number to remember with **percentages **is 100!

If you are changing either a fraction or a decimal into a percentage, you **multiply by 100.**

If you are changing a percentage into a fraction or a decimal, you **divide** by 100.

It's that simple!!

Let's take a look at some examples:

3/4 as a percentage is 3/4 x 100 = 75%

0.63 as a percentage is 0.63 x 100 = 63%

60% as a fraction is 60 ÷ 100 = 60/100 which simplifies to 3/5

85% as a decimal is 85 ÷ 100 = 0.85

Have you got that!

Ok, so now all we have to do is convert between fractions and decimals!

It's pretty easy to convert from a decimal to a fraction, so long as you understand place value.

0.6 means six tenths, or 6/10 which can be simplified to 3/5

0.73 means 73 hundredths or 73/100

2.09 means 2 whole numbers and 9 hundredths, so 2 9/100

This leaves us with the only tricky conversion - fractions to decimals.

Even these can be easy if the denominator is easily converted into 10 or 100.

For example, 7/20 can be easily converted into 35/100 by multiplying both the top and the bottom by 5. Once the fraction is written over 100, it is simple to make it a decimal: 35/100 is 0.35

Or 3/5 can be converted into 6/10 by multiplying both the top and the bottom number by 2. To make a decimal, 6/10 is written as 0.6

For trickier conversions, such as 3/8, we have to divide the numerator by the denominator: 3 ÷ 8. This gives us 0.375

Right, are you ready to have a go at some questions now?

You can check back to these instructions at any point by clicking on the pink button at the side of the screen.