Maths
Converting between Fractions and Percentages
In order to convert between fractions and percentages you will first need to
convert to decimals!
Example
Write 1/5 as a percentage
Example
Write 65% as a fraction
Convert the following fractions into percentages.1. 2/5 2. 8/10 3. 2/5 4. 3/4 5. 4/15
Convert the percentages into fractions. 6. 80% 7. 45% 8. 100& 9. 43.5% 10. 34% 
Recurring Decimals
Terminating decimals are finite e.g
Recurring decimals have a pattern of numbers which repeats continuously
Converting Recurring Decimals into Fractions
The fraction will have the ‘repeating unit’ of the pattern of the decimal as the
numerator. The denominator will be the same number of 9’s as there are
numbers in the repeating unit.
Example
Write the recurring decimal 0.666666.. as a fraction
Steps
e.g. the repeating unit of 0.4444… = 4 0.65656565… = 65 0.123123123… = 123 This repeating unit will be the numerator of the fraction
e.g. if the repeating unit is 4 à denominator will be 9 65 à denominator will be 99 123 à denominator will be 999

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