--- title: "Understanding fractions (age 9+)" description: "Understand a fraction a/b with a > 1 as a sum of fractions 1/b (e.g. 3/5 = 1/5 + 1/5 + 1/5)" canonical: https://lightmysky.com/learn/mathematics/understanding-fractions-age-9-mt_09sySPqM9Z source: https://lightmysky.com/learn/mathematics/understanding-fractions-age-9-mt_09sySPqM9Z.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`. # Understanding fractions (age 9+) Understand a fraction a/b with a > 1 as a sum of fractions 1/b (e.g. 3/5 = 1/5 + 1/5 + 1/5) Subject: Mathematics · Area: Fractions · Ages 9 to 10 Page: https://lightmysky.com/learn/mathematics/understanding-fractions-age-9-mt_09sySPqM9Z ## Ready when they can - Express 5/8 as a sum of five copies of 1/8 - Show on a number line how 4/3 is built by iterating 1/3 four times - Explain why 7/4 = 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 + 1/4 ## Lesson: Fractions as pieces added together You already know that 1/5 means one piece when a whole is cut into 5 equal parts. Today you will see that a fraction like 3/5 is just several of those pieces added up. 3/5 means 1/5 + 1/5 + 1/5. *(drawing: The three shaded pieces are 1/5 + 1/5 + 1/5.)* **Example.** Look at a number line marked in thirds. Start at 0 and take four hops, each hop the size of 1/3. After four hops you land past one whole, at 4/3. **Tip.** Any fraction a/b is just a copies of the piece 1/b, added together. The top number tells you how many pieces to add; the bottom number tells you the size of each piece. **Recap.** A fraction a/b means you add the piece 1/b to itself a times. ## 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) ## Opens up - [Mixed numbers and improper fractions](https://lightmysky.com/learn/mathematics/mixed-numbers-and-improper-fractions-mt_o_p-3tCxiM) - [Multiplying fractions](https://lightmysky.com/learn/mathematics/multiplying-fractions-mt_TgHxujL81r) - [Fraction addition concepts](https://lightmysky.com/learn/mathematics/fraction-addition-concepts-mt_VgOePicFYK)