Learn the 3-Step Method
1Check the denominators.
Are the denominators the same?
Different → Go to Step 3
2Same denominators?
Order by the numerators. Smaller numerator = smaller fraction.
3Different denominators?
Find equivalent fractions (same denominator). Then order.
Worked Example
Order these fractions from smallest to largest: 14 , 34 , 12 , 24
Watch Out! Common Mistakes
Wrong! Look at the size of the piece, not just the denominator.
Wrong! Make them the same before ordering: 24 , 14 , 34.
Wrong way round! Read the question carefully — this one asked for smallest to largest.
⬇ Cheat Sheet
- Check denominators.
- Same denominators? Order by the numerators.
- Different denominators? Make them the same, then order.
📖 Continue Your Journey
Quick summary
- Same denominators: order by the numerators.
- Different denominators: convert to equivalent fractions with a common denominator, then order.
- Watch for equal fractions hiding in the list — 1/2 and 2/4 take the same position.
- Always read the question: smallest-to-largest and largest-to-smallest are both asked.
Frequently asked questions
How do you order fractions with different denominators?
Convert them all to equivalent fractions with the same denominator, then order by the numerators. For example 1/4, 3/4, 1/2, 2/4 all convert to quarters: 1/4, 2/4, 2/4, 3/4.
What is ascending and descending order for fractions?
Ascending means smallest to largest; descending means largest to smallest. Exam questions use both words, so children should check carefully which is asked.
Why can't you order fractions by looking at the denominators?
Because the denominator only tells you how many pieces the whole is cut into, not how much you have. You must compare the fractions themselves, using equal-sized pieces.
When is ordering fractions taught?
Ordering fractions with the same denominator starts in Year 3; ordering with different denominators is a Year 5–6 skill and a common 11+ exam question.
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