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Watch this video from Maths and Numeracy which shows how Snoot, Fin and Plimble compare fractions, decimals and percentages when fuelling their saucer.

Fractions, decimals and percentages all have equivalents of each other, so it is quite easy to compare and order them!

All you need to do is convert them into the same form.

Often, it is easiest to convert them into percentages, because then it is really obvious which is the biggest or smallest.

Watch the video from 91�ȱ� Teach to quickly revise how to convert between fractions, decimals and percentages.

Per cent means out of 100. Since not all fractions have a denominator of 100, you have to convert the fraction into one that does. Then the numerator is the percentage amount.

For example:

What is ¹²⁄₂₅ as a percentage?

If you multiply both the numerator and denominator by 4 you find the equivalent fraction with a denominator of 100.

You can see that ¹²⁄₂₅ written as a percentage is 48%.

Another method you could use to convert a fraction to a percentage, is to divide the numerator by the denominator and multiply the answer by 100.

For example:

What is ¹⁄₈ as a percentage?

First divide the numerator by the denominator…

1 ÷ 8 = 0.125

then multiply the answer by 100.

0.125 x 100 = 12.5%

Therefore, you can see that ¹⁄₈ written as a percentage is 12.5%

It can be quite straightforward to convert a decimal to a percentage. You can simply multiply the decimal by 100 to turn it into a percentage.

For example:

What is 0.67 as a percentage?

0.67 x 100 = 67

Therefore

0.67 = 67%

Now here's a few for you to try.

Can you convert and order these into ascending order?

Now try these ones. Can you convert and order these into descending order?

Order and compare fractions, decimals and percentages

Use what you have learned to place these amounts in order from lowest to highest.

Ordering fractions, decimals and percentages

Do you feel confident converting and ordering fractions, percentages and decimals now? Play this quiz to put what you have learned to the test.