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Beginner · 10 min

Adding unlike fractions

Use a common denominator to add and subtract fractions.

Make equal-sized parts

Fractions need the same denominator before you add them. Multiply both parts of each fraction by the same number to keep its value.

Worked example

1/2 + 1/3 = 3/6 + 2/6 = 5/6

Subtract and simplify

Once denominators match, subtract the numerators. Simplify by dividing the numerator and denominator by a common factor.

Worked example

5/6 − 1/3 = 5/6 − 2/6 = 3/6 = 1/2

Measure a mixture

  1. Find the total of 1/3 litre and 1/4 litre.
  2. Draw equal-sized parts to show why adding the denominators would give the wrong result.
Practice