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Year 7 · Maths · Adding and subtracting fractions · Lesson 1

Adding and subtracting fractions: same denominator

Add and subtract fractions with the same denominator, simplify answers, convert to mixed numbers, and solve simple problems.

Whiteboard video lesson: Adding and subtracting fractions: same denominator

27-minute video lesson

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

Watch free for a month

What your child will learn

  • Understand numerator and denominator
  • Add fractions with the same denominator
  • Subtract fractions with the same denominator
  • Simplify answers
  • Solve problems with fractions of a whole

The method

  1. Check the denominators are the same.
  2. Add or subtract the numerators.
  3. Keep the denominator.
  4. Simplify; change to a mixed number if needed.

Key words: fraction, numerator, denominator, simplify, mixed number.

Worked examples

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

Question 1

Work out 1/5 + 2/5.

  1. Step 1: 1/5 + 2/5 = 3/5
  2. Step 2: Can 3/5 simplify? No.

Answer: 3/5

Question 2

Work out 3/11 + 5/11.

  1. Step 1: 3/11 + 5/11 = 8/11
  2. Step 2: Can 8/11 simplify? No.

Answer: 8/11

Question 3

Work out 6/7 − 2/7.

  1. Step 1: 6/7 − 2/7 = 4/7
  2. Step 2: Can 4/7 simplify? No.

Answer: 4/7