Skip to content
Menu

Year 6 · Maths · Fractions · Lesson 3

Adding and subtracting fractions

Add and subtract fractions with the same and different denominators, using common denominators, and solve word problems.

Whiteboard video lesson: Adding and subtracting fractions

29-minute video lesson

Teaching, worked examples and 20 practice questions solved step by step.

Watch free for a month

What your child will learn

  • Add and subtract with the same denominator
  • Find a common denominator
  • Add and subtract with different denominators
  • Simplify answers
  • Solve word problems

The method

  1. Common denominator?
  2. Convert both fractions.
  3. Add or subtract numerators only.
  4. Simplify.

Key words: common denominator, add, subtract, equivalent, simplify.

Worked examples

The first three practice questions from the lesson, with every step.

Question 1

Work out 2/9 + 4/9.

  1. Step 1: 2/9 + 4/9 = 6/9
  2. Step 2: 6/9 = 2/3 (÷ 3)

Answer: 2/3

Question 2

Work out 7/8 − 3/8.

  1. Step 1: 7/8 − 3/8 = 4/8
  2. Step 2: 4/8 = 1/2 (÷ 4)

Answer: 1/2

Question 3

Work out 1/3 + 1/6.

  1. Step 1: Common denominator 6: 1/3 = 2/6
  2. Step 2: 2/6 + 1/6 = 3/6
  3. Step 3: 3/6 = 1/2 (÷ 3)

Answer: 1/2