--- title: "Dividing unit fractions and whole numbers" description: "Solve real-world problems involving division of unit fractions by whole numbers and whole numbers by unit fractions, using visual models and equations" canonical: https://lightmysky.com/learn/mathematics/dividing-unit-fractions-and-whole-numbers-mt_rCMdwG-YOE source: https://lightmysky.com/learn/mathematics/dividing-unit-fractions-and-whole-numbers-mt_rCMdwG-YOE.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 unit fractions and whole numbers Solve real-world problems involving division of unit fractions by whole numbers and whole numbers by unit fractions, using visual models and equations Subject: Mathematics · Area: Fractions · Ages 10 to 11 Page: https://lightmysky.com/learn/mathematics/dividing-unit-fractions-and-whole-numbers-mt_rCMdwG-YOE ## Ready when they can - Solve: '3 people share 1/2 lb of chocolate equally — how much each?' (1/6 lb) - Solve: 'How many 1/3-cup servings in 2 cups of raisins?' (6 servings) - Create a story context for a given unit-fraction division expression ## Lesson: Sharing and scooping fractions You already know how to divide by a unit fraction. Now you will use that skill on real problems. Two kinds of stories show up again and again: sharing a small amount equally among people, and figuring out how many small scoops fit inside a bigger amount. **Example.** 3 people share 1/2 lb of chocolate equally. That is a sharing story, so divide the unit fraction by the whole number: 1/2 ÷ 3 = 1/6. Each person gets 1/6 lb. **Example.** You want to scoop 1/3-cup servings out of 2 cups of raisins. That is a scooping story, so divide the whole number by the unit fraction: 2 ÷ 1/3 = 6. You get 6 servings. **Tip.** Ask yourself which story you are in. Splitting a small amount among people? Divide the fraction by the whole number. Filling scoops from a bigger amount? Divide the whole number by the fraction. **Recap.** Same fraction-division skill, two stories: split a small amount among people, or count how many scoops fill a bigger amount. ## Practice 16 questions on this page, each with its working shown. ## Needs first - [Dividing by Fractions](https://lightmysky.com/learn/mathematics/dividing-by-fractions-mt_1PAWhRhpdg) - [Fractions of a whole (age 9+)](https://lightmysky.com/learn/mathematics/fractions-of-a-whole-age-9-mt_HJA2Oz-Zh1) - [Dividing fractions (unit fractions)](https://lightmysky.com/learn/mathematics/dividing-fractions-unit-fractions-mt_ifPDOYvUqm) ## Opens up - [Dividing fractions](https://lightmysky.com/learn/mathematics/dividing-fractions-mt_9Y96vxG_LH)