🔢 Mathematics · Fractions

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

Typical age: 9–10 years

“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?”

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Needs first

Equivalent fractions on a number lineREQUIRED
Understanding equivalence conceptually is prerequisite to explaining algebraically
Equivalent fractions (age 8+)REQUIRED
Generating equivalent fractions with visual models is prerequisite to algebraic explanation of equivalence

Unlocks next

Simplifying FractionsREQUIRED
Simplifying fractions extends Y5 equivalent fractions concept
Reasoning with Equivalences
Equivalent fraction patterns exercise generalisation
Converting tenths to hundredthsREQUIRED
Generating equivalent fractions supports converting 10ths to 100ths
Comparing fractions (age 9+)REQUIRED
Must generate equivalent fractions before using common denominators to compare
Adding fractions (different denominators)REQUIRED
Must generate equivalent fractions to find common denominators
Multiplication as scaling
Relating n/n × a/b to equivalence connects to equivalent fractions