--- title: "Equivalent fractions (age 8+)" description: "Generate simple equivalent fractions and explain why they are equivalent using visual fraction models" canonical: https://lightmysky.com/learn/mathematics/equivalent-fractions-age-8-mt_FP-mjXaq3B source: https://lightmysky.com/learn/mathematics/equivalent-fractions-age-8-mt_FP-mjXaq3B.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`. # Equivalent fractions (age 8+) Generate simple equivalent fractions and explain why they are equivalent using visual fraction models Subject: Mathematics · Area: Fractions · Ages 8 to 9 Page: https://lightmysky.com/learn/mathematics/equivalent-fractions-age-8-mt_FP-mjXaq3B ## Ready when they can - Given 1/3, generate 2/6 as equivalent and show with area model - Simplify 4/8 to 1/2 and justify with a fraction strip - Complete equivalence chains: 1/4 = ?/8 = ?/12 ## Lesson: Same Amount, Different Slices Two fractions are equivalent when they cover the same amount, even though they look different. You have seen that two names can mark the same point on a number line. Now you make the extra names yourself. Split every part of a bar the same way and the shaded amount stays put: more parts, smaller parts, same space. *(drawing: This bar has 3 equal parts. One part is shaded, so it shows 1/3.)* *(drawing: Cut the same bar into 6 parts instead. Two parts are shaded, and it covers the exact same space as before: 2/6.)* **Example.** Leo chalks the bed by the shed into 8 equal rows and plants onions in 4 of them: 4/8. He rubs out every second line, so the rows join in pairs. Now the bed is 4 strips with 2 planted, which reads 2/4. Two more lines go and it reads 1/2. Same onions the whole time. You can travel the other way too. Join the parts back into equal groups and both numbers get smaller, while the shaded space stays exactly where it is. Pairs, threes, any size, as long as every group is the same. When there is no group left to make, that last name has the smallest numbers. Finding it is called simplifying. **Tip.** To make an equivalent fraction, multiply the top and bottom by the same number, or divide the top and bottom by the same number. The shaded amount never changes, only how many pieces it's split into. **Recap.** Equivalent fractions cover the same amount of space, no matter how many pieces you cut it into, as long as you multiply or divide the top and bottom by the same number. ## Practice 14 questions on this page, each with its working shown. ## Needs first - [Equivalent fractions on a number line](https://lightmysky.com/learn/mathematics/equivalent-fractions-on-a-number-line-mt_Ep7TDFuYUa) ## Opens up - [Justifying mathematical reasoning (age 8+)](https://lightmysky.com/learn/mathematics/justifying-mathematical-reasoning-age-8-mt_a3dov8CZkq) - [Equivalent fractions (age 9+)](https://lightmysky.com/learn/mathematics/equivalent-fractions-age-9-mt_ebPelt-qAl)