--- title: "Dividing fractions" description: "Divide a fraction by a fraction using the 'keep-change-flip' method and visual models; interpret and solve word problems involving division of fractions by fractions" canonical: https://lightmysky.com/learn/mathematics/dividing-fractions-mt_9Y96vxG_LH source: https://lightmysky.com/learn/mathematics/dividing-fractions-mt_9Y96vxG_LH.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`. # Dividing fractions Divide a fraction by a fraction using the 'keep-change-flip' method and visual models; interpret and solve word problems involving division of fractions by fractions Subject: Mathematics · Area: Fractions · Ages 11 to 12 Page: https://lightmysky.com/learn/mathematics/dividing-fractions-mt_9Y96vxG_LH ## Ready when they can - Divide a fraction by a fraction using the reciprocal method - Use visual fraction models to represent and explain fraction division - Create story contexts for fraction division problems and solve them ## Lesson: Dividing fractions with keep-change-flip You already know two skills: multiplying fractions, and dividing a fraction by a unit fraction like 1/4. Dividing a fraction by any fraction uses those same skills plus one new trick, called keep-change-flip. Keep the first fraction as it is. Change the divide sign to a multiply sign. Flip the second fraction upside down, so it becomes its reciprocal. Then multiply like you already know how. *(drawing: This bar shows 3/4 litre of juice. Each glass holds 3/8 litre. Keep-change-flip: 3/4 x 8/3 = 24/12 = 2. Two glasses.)* **Example.** Nina has 5/6 of a bag of rice. She pours it into cups that hold 5/12 of the bag each. Keep 5/6, change divide to multiply, flip 5/12 to 12/5. 5/6 x 12/5 = 60/30 = 2. She fills 2 cups. **Tip.** Only flip the second fraction, the one right after the divide sign. If you flip the first fraction instead, or forget to flip at all, the answer will be wrong. **Recap.** To divide a fraction by a fraction: keep the first fraction, change divide to multiply, and flip the second fraction upside down. ## Practice 18 questions on this page, each with its working shown. ## Needs first - [Multiplying fractions (age 10+)](https://lightmysky.com/learn/mathematics/multiplying-fractions-age-10-mt_AabJisinfi) - [Dividing fractions (unit fractions)](https://lightmysky.com/learn/mathematics/dividing-fractions-unit-fractions-mt_ifPDOYvUqm) - [Fractions and percentages of amounts](https://lightmysky.com/learn/mathematics/fractions-and-percentages-of-amounts-mt_J339bO7qLe) - [Dividing unit fractions and whole numbers](https://lightmysky.com/learn/mathematics/dividing-unit-fractions-and-whole-numbers-mt_rCMdwG-YOE)