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Grade 5 Maths · Unit 4: Adding and subtracting fractions

Subtracting fractions

Subtract fractions with different denominators.

Subtracting fractions uses the same idea as adding. First give both fractions a common denominator, then subtract the numerators and keep the denominator.

For 4/5 − 1/3, use 15: 4/5 = 12/15 and 1/3 = 5/15. Then 12/15 − 5/15 = 7/15. In a word problem, subtraction often answers how much is left or how much more one amount is than another.

With mixed numbers, you may need to exchange a whole for a fraction first, just like exchanging a ten.

Worked example

5/6 − 1/4 =

  1. Common denominator 12: 5/6 = 10/12 and 1/4 = 3/12.
  2. 10/12 − 3/12 = 7/12.

Answer:7/12

Key words

difference
the answer to a subtraction
common denominator
a shared bottom number
numerator
the top number
Practise this

New questions every time.

Common Core-referenced: 5.NF.A.1, 5.NF.A.2