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NEXUS

- EDEXCEL GCSE
- AQA GCSE
- OCR GCSE
- EDUQAS GCSE

Fractions, decimals and percentages are three ways to show the same thing. For every fraction, there will be an equivalent (the same) decimal and percentage.

Divide the denominator by the numerator using the bus stop method.

\[\frac{3}{4} = 3 \div 4 = 0.75\]

Using a place value table, find the column of the last digit in the decimal and pout all the digits over this.

\[0.023\]

The last digit (the 3) is in the thousandths column, so we will put all the digits over a thousand.

\[0.023 = \frac{23}{1000}\]

Convert to a decimal, then multiply by 100%.

\[\frac{1}{5} = 0.2\]

\[ 0.2 \times 100 = 20\%\]

If you get the denominator of the fraction to be 100, the numerator is the percentage.

\[\frac{1}{5} = \frac{20}{100} = 20\%\]

Put the percentage over 100.

\[25\% = \frac{25}{100} = \frac{1}{4}\]

Multiply by 100%.

\[0.43 \times 100\% = 43\%\]

Divide by 100.

\[53\% \div 100 = 0.53\]

To order fractions, decimals and percentages always convert them into the same thing, normally decimals, then compare them. Don't forget to convert them back when you write your answer!

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