Compare fractions: step-by-step example
31 October 2026

When your child learns to compare fractions, it helps them understand which part is bigger or smaller. This is a key skill for 11+ maths and everyday problem solving.

Worked example
Which is greater: 3/4 or 2/3?
Step 1: Find a common denominator. The lowest common denominator for 4 and 3 is 12.
Step 2: Change each fraction to have denominator 12.
3/4 = 9/12 (because 3 × 3 = 9 and 4 × 3 = 12)
2/3 = 8/12 (because 2 × 4 = 8 and 3 × 4 = 12)
Step 3: Compare the numerators (top numbers): 9 and 8.
9/12 is greater than 8/12.
So, 3/4 is greater than 2/3.
The correct answer is 3/4 is greater than 2/3.
After working through this example, your child can spot which fraction is greater by making the denominators the same and comparing the numerators. The next step is to practise comparing fractions with similar questions.



