Comparing and Ordering Fractions
Learning to compare fractions and arrange them in order.
Core concept
For example, to compare 2/3 and 3/4, find the LCM of 3 and 4 (which is 12), convert both fractions to have denominator 12 (2/3 = 8/12 and 3/4 = 9/12), and then compare numerators — since 9 > 8, 3/4 is greater than 2/3. This same common-denominator method is used to arrange a group of fractions in increasing or decreasing order, an important skill for solving real-world problems involving measurements and comparisons.
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Key diagram

- Show two fractions converted to a common denominator for comparison.
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Quick notes
• Same denominator: compare numerators directly (larger numerator = larger fraction).
• Different denominators: convert to a common denominator (using LCM) before comparing.
• Example: 2/3 vs 3/4 → convert to 8/12 vs 9/12 → 3/4 is greater.
• The same method is used to order multiple fractions from smallest to largest.