Equivalent Fractions: Step-by-Step Example
22 October 2026

Equivalent fractions are different ways of showing the same amount. If you multiply both the top and bottom numbers by the same value, the fraction keeps its meaning.
This helps children understand that fractions can look different but still be equal. Let's see how this works with a clear example.

Worked example
Find an equivalent fraction for 1/3 by multiplying both numbers by 2.
Start with 1/3.
Multiply the top number (numerator) by 2: 1 × 2 = 2.
Multiply the bottom number (denominator) by 2: 3 × 2 = 6.
Write the new fraction: 2/6.
The answer is 2/6. This is equivalent to 1/3.
Now your child can spot when two fractions are equivalent, even if they look different at first. Practising this type of question will build confidence with simplifying and comparing fractions.
Key insight: Understanding equivalent fractions is a key step before moving on to more challenging fraction problems.



