--- title: "Fractions as parts of shapes" description: "Partition shapes into parts with equal areas and express the area of each part as a unit fraction of the whole" canonical: https://lightmysky.com/learn/mathematics/fractions-as-parts-of-shapes-mt_idbKDrf9qZ source: https://lightmysky.com/learn/mathematics/fractions-as-parts-of-shapes-mt_idbKDrf9qZ.md retrieved: 2026-10-19 --- > **Agent view.** This is the Markdown twin of the page, for tools and assistants. > When to use this site, and the call that answers each job: https://lightmysky.com/agent-instructions.md > API description (OpenAPI 3.1): https://lightmysky.com/openapi.json · Authentication: https://lightmysky.com/auth.md > Pricing: https://lightmysky.com/pricing.md · Catalog: https://lightmysky.com/llms.txt · Full catalog: https://lightmysky.com/llms-full.txt > Every machine-readable file on this domain: https://lightmysky.com/.well-known/ai-catalog.json > Ask for Markdown with `Accept: text/markdown`, a `.md` address, or `?mode=agent`. # Fractions as parts of shapes Partition shapes into parts with equal areas and express the area of each part as a unit fraction of the whole Subject: Mathematics · Area: Fractions · Ages 8 to 9 Page: https://lightmysky.com/learn/mathematics/fractions-as-parts-of-shapes-mt_idbKDrf9qZ ## Ready when they can - Partition a rectangle into 6 equal-area parts and label each 1/6 - Show two different ways to partition a square into 4 equal parts - Given a pre-partitioned shape, write the unit fraction for one part ## Lesson: Fractions as parts of shapes You already know how to split a shape into equal parts. Now you will give each part a name using a fraction. When every part has the same area, one single part is called a unit fraction of the whole shape. *(drawing: This bar is split into 6 equal-area parts. One shaded part is 1/6 of the whole bar.)* **Example.** Mia cuts a square into 4 equal-area parts two different ways. First she cuts it into 4 equal columns, side by side. Then she cuts the same size square into 4 equal triangles that meet in the middle. Both squares end up with 4 equal parts, so one part is still called 1/4 in each case, even though the pieces look different. **Tip.** If you are given a shape that is already cut into parts, count how many equal parts there are in all. That total number becomes the bottom of the fraction, and 1 becomes the top for a single part. **Recap.** Count the equal parts in a shape, and one part out of that total is its unit fraction. ## Practice 18 questions on this page, each with its working shown. ## Needs first - [Fractions of a whole](https://lightmysky.com/learn/mathematics/fractions-of-a-whole-mt_ndGqFPWyen) - [Splitting shapes into equal parts (age 7+)](https://lightmysky.com/learn/mathematics/splitting-shapes-into-equal-parts-age-7-mt_Xp-rj46S2w) ## Opens up - [Area with Fractions](https://lightmysky.com/learn/mathematics/area-with-fractions-mt_gx6KQK5-Kx)