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Auralith Learning

Year 8 · Maths · Multiplying and dividing fractions · Lesson 1

Multiplying fractions

Learn to multiply fractions by fractions and by whole numbers, find a fraction of an amount, simplify before multiplying, and solve area and word problems.

Whiteboard video lesson: Multiplying fractions

34-minute video lesson

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

Watch free for a month

What your child will learn

  • Multiply a fraction by a fraction
  • Multiply a fraction by a whole number
  • Understand that 'of' means multiply
  • Simplify before or after multiplying
  • Solve problems involving fractions of amounts and areas

The method

  1. Write any whole number as a fraction over 1.
  2. Multiply the numerators (tops).
  3. Multiply the denominators (bottoms).
  4. Simplify your answer.

Key words: fraction, numerator, denominator, multiply, simplify.

Worked examples

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

Question 1

Work out 1/2 × 1/3.

  1. Step 1: Tops: 1 × 1 = 1. Bottoms: 2 × 3 = 6.
  2. Step 2: Can 1/6 simplify? No.

Answer: 1/6

Question 2

Work out 2/3 × 1/5.

  1. Step 1: Tops: 2 × 1 = 2. Bottoms: 3 × 5 = 15.
  2. Step 2: Can 2/15 simplify? No.

Answer: 2/15

Question 3

Work out 3/4 × 1/2.

  1. Step 1: Tops: 3 × 1 = 3. Bottoms: 4 × 2 = 8.
  2. Step 2: Can 3/8 simplify? No.

Answer: 3/8