成人论坛

Comparing fractions, decimals and percentages

Part of MathsPercentagesYear 6

Watch: Comparing fractions, percentages and decimals

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

Did you know

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.

Did you know
Back to top

Watch: Converting between fractions, percentages and decimals

Watch the video from 成人论坛 Teach to quickly revise how to convert between fractions, decimals and percentages.

Back to top

Converting fractions into 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 鹿虏鈦勨倐鈧 as a percentage?

12/25 is equal to 48/100

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

48 percent expressed as a fraction and percentage

You can see that 鹿虏鈦勨倐鈧 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 鹿鈦勨倛 as a percentage?

First divide the numerator by the denominator鈥

1 梅 8 = 0.125

then multiply the answer by 100.

0.125 x 100 = 12.5%

Therefore, you can see that 鹿鈦勨倛 written as a percentage is 12.5%

Back to top

Converting decimals into percentages

Teacher holding a book reading x 100

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%

Teacher holding a book reading x 100
Back to top

Example 1

Now here's a few for you to try.

Can you convert and order these into ascending order?

Skip image gallery
  1. Image showing the figures 0.7, 67%, 2/5 and 0.99

    Convert these numbers and then put them in ascending order.

Back to top

Example 2

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

Skip image gallery
  1. Image showing the numbers 2/8, 32%, 4/10 and 0.01

    Convert these numbers and put them in descending order.

Back to top

Activities

Quiz 1

Order and compare fractions, decimals and percentages

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

Back to top

Quiz 2

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.

Back to top

Use your times tables and more maths skills to defeat monsters and reclaim the Kingdom of Mathematica

Play our fun maths game Guardians: Defenders of Mathematica
Back to top

More on Percentages

Find out more by working through a topic