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Year 6 · Maths · Fractions · Lesson 1

Equivalent fractions and simplifying

Find equivalent fractions, fill in missing numerators and denominators, and simplify fractions fully using the highest common factor.

Whiteboard video lesson: Equivalent fractions and simplifying

19-minute video lesson

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

Watch free for a month

What your child will learn

  • Find equivalent fractions
  • Find missing numbers
  • Simplify fully
  • Decide if fractions are equivalent

The method

  1. Find the HCF of top and bottom.
  2. Divide the top by it.
  3. Divide the bottom by it.
  4. Check: can it simplify again?

Key words: equivalent, simplify, numerator, denominator, simplest form.

Worked examples

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

Question 1

Find the missing number: 1/4 = ?/20

  1. Step 1: 4 × 5 = 20
  2. Step 2: 1 × 5 = 5

Answer: 5/20

Question 2

Find the missing number: 3/8 = ?/24

  1. Step 1: 8 × 3 = 24
  2. Step 2: 3 × 3 = 9

Answer: 9/24

Question 3

Find the missing number: 2/5 = 10/?

  1. Step 1: 2 × 5 = 10
  2. Step 2: 5 × 5 = 25

Answer: 10/25