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MathematicsFractionsAges 9–10

Equivalent fractions (age 9+)

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

Learning resources

Reviewed external links that reinforce this concept. They do not replace Gakuva’s teaching approach.

No reviewed resources for this concept yet.

The teaching approach above still stands. Curated practice links will appear here as the shelf fills.

Explore the learning path

2 before · 6 after

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Check understanding

  • 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
“If your child 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?”

Curriculum record

Type
Conceptual
Subject
Mathematics
Domain
Fractions
Age range
Ages 9–10