Comparing and ordering fractions for 11+ maths
21 October 2026
Why comparing and ordering fractions matters
Understanding how to compare and order fractions is a vital skill for the 11+ maths exam. It helps children tackle a wide range of questions, from basic number comparisons to more complex problem solving.
Key insight: Visual models and number lines can help children see which fractions are bigger or smaller before they start calculating. Encourage your child to sketch or use fraction strips for tricky comparisons.
How to compare fractions
To compare fractions, your child needs to make the denominators the same. This means finding a common denominator so both fractions are split into equal parts.
Worked example: comparing 3/4 and 5/6
Step 1: Find the lowest common denominator. For 4 and 6, the lowest common denominator is 12.
Step 2: Convert each fraction:
3/4 = 9/12 (because 3 × 3 = 9 and 4 × 3 = 12)
5/6 = 10/12 (because 5 × 2 = 10 and 6 × 2 = 12)
Step 3: Compare the numerators. 9/12 is less than 10/12, so 3/4 is less than 5/6.
Final answer: 5/6 is the greater fraction.
Ordering more than two fractions
Once your child can compare two fractions, they can order a group by converting all the fractions to have the same denominator. Then, simply arrange them in order of their numerators.
Supporting your child
Practice is key. Use worksheets that include a variety of fractions, and encourage your child to explain their reasoning out loud. This builds both confidence and accuracy.
