--- title: "Multiplying fractions (age 10+)" description: "Multiply a fraction or whole number by a fraction, including proper fractions by proper fractions; interpret (a/b) × q as a parts of q partitioned into b equal parts; write answers in simplest form" canonical: https://lightmysky.com/learn/mathematics/multiplying-fractions-age-10-mt_AabJisinfi source: https://lightmysky.com/learn/mathematics/multiplying-fractions-age-10-mt_AabJisinfi.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`. # Multiplying fractions (age 10+) Multiply a fraction or whole number by a fraction, including proper fractions by proper fractions; interpret (a/b) × q as a parts of q partitioned into b equal parts; write answers in simplest form Subject: Mathematics · Area: Fractions · Ages 10 to 11 Page: https://lightmysky.com/learn/mathematics/multiplying-fractions-age-10-mt_AabJisinfi ## Ready when they can - Compute (2/3) × (4/5) = 8/15 and show with an area model - Use a visual model to demonstrate (2/3) × 4 = 8/3 = 2 2/3 - Simplify the product 3/4 × 2/3 = 6/12 = 1/2 ## Lesson: Multiplying a fraction by a fraction You already know how to multiply fractions and simplify them. Now you will multiply two proper fractions, like 2/3 times 4/5. Think of (a/b) times q as this: split q into b equal parts, then take a of those parts. *(drawing: Split the bar into fourths first, then take half of that. You end up with 3 shaded parts out of 8, so 1/2 x 3/4 = 3/8.)* **Example.** Multiply 3/4 x 2/3. Multiply the tops: 3 x 2 = 6. Multiply the bottoms: 4 x 3 = 12. That gives 6/12. Now simplify: divide top and bottom by 6, and you get 1/2. **Tip.** A whole number works the same way. For 2/3 x 4, write 4 as 4/1, then multiply straight across: 2 x 4 = 8 and 3 x 1 = 3, so you get 8/3, which is 2 and 2/3. **Recap.** Multiply the tops, multiply the bottoms, then simplify if you can. ## Practice 16 questions on this page, each with its working shown. ## Needs first - [Simplifying Fractions](https://lightmysky.com/learn/mathematics/simplifying-fractions-mt_b7T-CjOYUR) - [Multiplying fractions](https://lightmysky.com/learn/mathematics/multiplying-fractions-mt_TgHxujL81r) ## Opens up - [Dividing by Fractions](https://lightmysky.com/learn/mathematics/dividing-by-fractions-mt_1PAWhRhpdg) - [Dividing fractions](https://lightmysky.com/learn/mathematics/dividing-fractions-mt_9Y96vxG_LH) - [Tree diagrams](https://lightmysky.com/learn/mathematics/tree-diagrams-mt_GDtFU5fyUv) - [Calculations with fractions, decimals and negatives](https://lightmysky.com/learn/mathematics/calculations-with-fractions-decimals-and-negatives-mt_gNUE4B3vuk) - [Area with Fractions](https://lightmysky.com/learn/mathematics/area-with-fractions-mt_gx6KQK5-Kx) - [Ratio Problems](https://lightmysky.com/learn/mathematics/ratio-problems-mt_h0gJcSuwdL) - [Dividing fractions (unit fractions)](https://lightmysky.com/learn/mathematics/dividing-fractions-unit-fractions-mt_ifPDOYvUqm) - [Real-world fraction multiplication](https://lightmysky.com/learn/mathematics/real-world-fraction-multiplication-mt_lvaSGHwvQ5) - [Area of Triangles & Parallelograms](https://lightmysky.com/learn/mathematics/area-of-triangles-and-parallelograms-mt_ML5t7n2-U8) - [Multiplication as scaling](https://lightmysky.com/learn/mathematics/multiplication-as-scaling-mt_VKW8lOcFaw)