Help your students prepare for their Maths GCSE with this free Add and Subtract Fractions worksheet of 42 questions and answers
Fractions can only be added or subtracted if they have like denominators – or in other words, if they are like fractions. If fractions already have the same denominator, we simply add or subtract the numerators as required.
If the fractions have different denominators (unlike fractions), we use knowledge of equivalent fractions to change one or both denominators – this is called finding a common denominator. For example, if one fraction had a denominator of 4, and the other had a denominator of 6, we could change both fractions to have denominator 12, as 12 is the LCM (lowest common multiple) of 4 and 6. Once both fractions have been written with a common denominator we add or subtract the numerators as required.
Fraction addition and subtraction of fractions can be extended to working with mixed numbers (sometimes called mixed fractions); a mixed number has both a whole number part and a simple fraction part. We can convert between mixed numbers and improper fractions in order to calculate with them.
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