---
title: "Comparing fractions (age 8+)"
description: "Compare two fractions with the same numerator or the same denominator by reasoning about size; record comparisons with >, =, or < symbols"
canonical: https://lightmysky.com/learn/mathematics/comparing-fractions-age-8-mt_HnKbuCliNS
source: https://lightmysky.com/learn/mathematics/comparing-fractions-age-8-mt_HnKbuCliNS.md
retrieved: 2026-10-19
---

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# Comparing fractions (age 8+)

Compare two fractions with the same numerator or the same denominator by reasoning about size; record comparisons with >, =, or < symbols

Subject: Mathematics · Area: Fractions · Ages 8 to 9
Page: https://lightmysky.com/learn/mathematics/comparing-fractions-age-8-mt_HnKbuCliNS

## Ready when they can

- Compare 3/8 and 3/4: same numerator, larger denominator means smaller pieces so 3/8 < 3/4
- Compare 5/6 and 2/6: same denominator so 5/6 > 2/6
- Justify a comparison using a visual model and explain why both fractions must refer to the same whole

## Lesson: Which fraction is bigger?

You know a fraction has a numerator on top and a denominator on the bottom. When two fractions share the same denominator, the pieces are the same size, so you only need to compare the numerators. More sixths means a bigger fraction.

*(drawing: This bar shows 5/6. A bar showing 2/6 would only have 2 pieces shaded. Since 5 is more than 2, 5/6 > 2/6.)*

When two fractions share the same numerator, look at the denominator instead. A bigger denominator cuts the same whole into smaller pieces, so the fraction is actually smaller. That is why 3/8 is less than 3/4, even though 8 is the bigger number.

*(drawing: This bar shows 3/4 in four big pieces. 3/8 would shade 3 pieces too, but out of eight tiny pieces, so it covers less of the bar.)*

**Tip.** Before you compare, check that both fractions come from wholes the same size. Two 3/4 pizzas are only equal in size if the pizzas themselves start out the same size.

**Recap.** Same denominator, compare the numerators. Same numerator, the smaller denominator wins because its pieces are bigger.

## Practice

14 questions on this page, each with its working shown.

## Needs first

- [Comparing fractions](https://lightmysky.com/learn/mathematics/comparing-fractions-mt_IfEgu0X449)
- [Fractions of a whole](https://lightmysky.com/learn/mathematics/fractions-of-a-whole-mt_ndGqFPWyen)
- [Solving problems with fractions (age 7+)](https://lightmysky.com/learn/mathematics/solving-problems-with-fractions-age-7-mt_SsLWS_APM7)

## Opens up

- [Justifying mathematical reasoning (age 8+)](https://lightmysky.com/learn/mathematics/justifying-mathematical-reasoning-age-8-mt_a3dov8CZkq)
- [Comparing fractions (age 9+)](https://lightmysky.com/learn/mathematics/comparing-fractions-age-9-mt_SXbZ3bC9z7)