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Maths

Comparing fractions, decimals and percentages.

 

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 BBC Teach to quickly revise how to convert between fractions, decimals and percentages.

Converting fractions to 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%

Click the link and have a go at the examples first...

https://www.bbc.co.uk/bitesize/articles/zrkw2fr

 

Example 1...

 

 

Example 2...

Use the orange arrows on the website to get the answers. 

Fractions, decimals and percentages activities

All tasks can be accessed through the BBC Bitesize website. 

Just click the link below. 

https://www.bbc.co.uk/bitesize/articles/zrkw2fr

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