AI generatedNumberKS3 / GCSE

Cancelling common factors before multiplying fractions

Write the calculation as one numerator product over one denominator product.

  • Write the calculation as one numerator product over one denominator product.
  • Divide a numerator factor and a denominator factor by the same common factor.
  • Only factors cancel. You cannot cancel a number that is merely one term in a sum.

Example 1

Calculate by cancelling common factors before multiplying.

Look for common factors across the product.Write numerator and denominator as products.Divide the numerator and denominator by 10.

Example 2

Calculate by cancelling common factors before multiplying.

Look for common factors across the product.Write numerator and denominator as products.Divide the numerator and denominator by 18.

Remember
Use the worked steps to check your method, not just the final answer.

Your turn

Question 1

Calculate by cancelling common factors before multiplying.

Check answer
Look for common factors across the product.Write numerator and denominator as products.Divide the numerator and denominator by 28.
Question 2

Calculate by cancelling common factors before multiplying.

Check answer
Look for common factors across the product.Write numerator and denominator as products.Divide the numerator and denominator by 40.
Question 3

Calculate by cancelling common factors before multiplying.

Check answer
Look for common factors across the product.Write numerator and denominator as products.Divide the numerator and denominator by 54.
Question 4

Calculate by cancelling common factors before multiplying.

Check answer
Look for common factors across the product.Write numerator and denominator as products.Divide the numerator and denominator by 20.
Question 5

Calculate by cancelling common factors before multiplying.

Check answer
Look for common factors across the product.Write numerator and denominator as products.Divide the numerator and denominator by 33.