---
title: "Decomposing a shape into more equal shares"
description: "Understand that decomposing a shape into more equal shares creates smaller shares"
canonical: https://lightmysky.com/learn/mathematics/decomposing-a-shape-into-more-equal-shares-mt_hyvHv2BCwb
source: https://lightmysky.com/learn/mathematics/decomposing-a-shape-into-more-equal-shares-mt_hyvHv2BCwb.md
retrieved: 2026-10-19
---

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# Decomposing a shape into more equal shares

Understand that decomposing a shape into more equal shares creates smaller shares

Subject: Mathematics · Area: Fractions · Ages 6 to 7
Page: https://lightmysky.com/learn/mathematics/decomposing-a-shape-into-more-equal-shares-mt_hyvHv2BCwb

## Ready when they can

- Explain that a quarter of a pizza is smaller than a half of the same pizza
- Demonstrate that fourths are smaller pieces than halves
- Compare the size of halves and quarters of the same shape

## Lesson: More equal shares, smaller pieces

You already know how to cut a shape into halves and fourths. Now watch what happens when the same shape is cut into more equal shares. The shape never grows, so every extra cut makes each piece smaller.

*(drawing: This circle is cut into 4 equal pieces. The shaded piece is one fourth, just one of the four pieces.)*

**Example.** Leo and Mia split a square herb bed into 4 equal parts, one herb in each part. Then they want 8 herbs in the same bed, so they mark 8 equal rows instead. The bed did not get any bigger, so each row is thinner than the 4 parts were.

**Tip.** Here is the rule: cutting a shape into more equal shares always makes each share smaller, as long as the whole shape stays the same size.

**Recap.** The more equal shares a shape is cut into, the smaller each share becomes, so a fourth is always smaller than a half of the same shape.

## Practice

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

## Needs first

- [Halves & Quarters of Shapes](https://lightmysky.com/learn/mathematics/halves-and-quarters-of-shapes-mt_xACS3rWWDp)

## Opens up

- [Comparing fractions](https://lightmysky.com/learn/mathematics/comparing-fractions-mt_IfEgu0X449)
- [Splitting shapes into equal parts (age 7+)](https://lightmysky.com/learn/mathematics/splitting-shapes-into-equal-parts-age-7-mt_Xp-rj46S2w)