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Understanding fractions
Lesson 2 of 11

Adding and subtracting fractions

Objective. Add and subtract fractions with different denominators.

The key idea

You can only add slices of the same size, so rewrite both fractions over a common denominator first.

Worked example

Calculate 2/3 + 1/4.

2/31/4
Fraction bar showing 2 out of 3 parts shaded
  1. 1Common denominator is 12.
  2. 22/3 = 8/12 and 1/4 = 3/12.
  3. 38/12 + 3/12 = 11/12.

Answer: 11/12

Practice

Each question comes with a picture and a listen button. Try it first, then reveal the answer.

Common mistake. Adding denominators together. 1/2 + 1/2 is 1, not 2/4.

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