Changing Fractions, Decimals and Percentages

We will begin by ordering some fractions with different denominators

Ordering Fractions

We have already looked at how you can turn a fraction into a percentage (and vice versa)

Today we will look at how to covert fractions into decimals

There are a few different ways to do this...

The first is to change the denominator into 10, 100, 1000 or 10000 etc. by multiplying it.  If you then multiply the numerator by the same number then you can easily work out the decimal number.

For example

Express 3/5 as a decimal.

3/5 = 6/10 = 0.6


6/8 = 75/100 = 0.75  (in this one, you must multiply the top and bottom number by 12.5)

You can revise this theory here - There are some questions at the bottom of the page.

You can also convert fractions that have a larger numerator


Express 3/2 as a decimal

3/2 = 150/100 = 1.5  (multiply both numbers by 50)

Solve the Socrative questions on this subject

Here are a couple of games you can play to practice this skill

Puppy Chase!

Fruit Shoot!

Other fraction, decimal and percentage games