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Equivalent fractions (age 9+)

Mathematics · Fractions · conceptual

Explain why a fraction a/b is equivalent to (n×a)/(n×b) using visual models; use this principle to recognise and generate equivalent fractions, including tenths and hundredths

What mastery looks like

  • Use a fraction strip to show 2/3 = 4/6 = 6/9
  • Explain that multiplying numerator and denominator by the same number gives an equivalent fraction because the size of the whole is unchanged
  • Generate three fractions equivalent to 3/5 and verify with diagrams

Check your understanding

If Equivalent fractions (age 9+) needs to make 2/3 look different without changing its value, can they multiply the top and bottom by the same number and explain why the fraction stays the same?