Maths · Intermediate

Comparing and ordering fractions with different denominators

Comparing fractions means deciding which of two fractions is larger. When the denominators are different you cannot compare the numerators directly, so you rewrite both fractions with the same denominator first.

Ages
9–14 (rough guide)
Level
Intermediate
Subject
Maths
Time
15–20 minutes
Format
Online + printable
Stage
UK Years 4–6 · roughly US Grades 4–5
Try it online Print worksheet & answers Online + Print
  1. 1Learn it
  2. 2See it worked
  3. 3Try it online
  4. 4Print it
  5. 5Check your answer

Before you start

Who it's for and what to know first

Finding equivalent fractions, and knowing multiples in your times tables.

Learn it

How it works

  • Same denominator: the bigger numerator is the bigger fraction. 5/8 > 3/8.
  • Same numerator: the smaller denominator is the bigger fraction, because the whole is cut into fewer, larger pieces. 1/3 > 1/5.
  • Different denominators: find a common denominator — a number both denominators divide into. The lowest common multiple is easiest.
  • Convert each fraction to that denominator, then compare the numerators.
  • Quick check: cross-multiply. For a/b and c/d, compare a × d with c × b. The larger product belongs to the larger fraction.
  • To order several fractions, convert all of them to one common denominator, then sort by numerator.

Worked example 1

Which is larger: 2/3 or 3/5?

  1. The lowest common multiple of 3 and 5 is 15.
  2. 2/3 = 10/15 and 3/5 = 9/15.
  3. 10 > 9, so 2/3 is larger.

Answer: 2/3

Worked example 2

Order from smallest: 3/4, 5/8, 1/2

  1. Use eighths: 3/4 = 6/8, 5/8 stays 5/8, 1/2 = 4/8.
  2. Order the numerators: 4, 5, 6.

Answer: 1/2, 5/8, 3/4

Try it online · print it · check it

Practice questions

Type the larger fraction, for example 3/4. For ordering, separate fractions with commas. Type your answer, then press Check answers.

Tips

Common mistakes

  • Thinking a bigger denominator means a bigger fraction — 1/8 is smaller than 1/4.
  • Comparing numerators when the denominators are different.
  • Converting only one of the two fractions.

Where next?

EasierEquivalent fractionsEquivalent fractions are different-looking fractions that show the same amount.Harder / next skillAdding and subtracting fractionsTo add or subtract fractions, the pieces must be the same size — the fractions need a common denominator.RelatedFractions of amountsFinding a fraction of an amount means working out, for example, 3/4 of 20 sweets or 2/5 of £45.MoreAll Maths resourcesMaths resources that teach the method before the practice.

Last reviewed: 25 September 2026