--- title: "Dividing fractions (unit fractions)" description: "Interpret and compute division of a unit fraction by a non-zero whole number (e.g. 1/3 ÷ 4 = 1/12); use visual models and the relationship between multiplication and division to explain the result" canonical: https://lightmysky.com/learn/mathematics/dividing-fractions-unit-fractions-mt_ifPDOYvUqm source: https://lightmysky.com/learn/mathematics/dividing-fractions-unit-fractions-mt_ifPDOYvUqm.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 (unit fractions) Interpret and compute division of a unit fraction by a non-zero whole number (e.g. 1/3 ÷ 4 = 1/12); use visual models and the relationship between multiplication and division to explain the result Subject: Mathematics · Area: Fractions · Ages 10 to 11 Page: https://lightmysky.com/learn/mathematics/dividing-fractions-unit-fractions-mt_ifPDOYvUqm ## Ready when they can - Compute (1/3) ÷ 4 = 1/12 and explain using a visual model of splitting 1/3 into 4 equal parts - Create a story context for (1/6) ÷ 3 and solve it - Verify (1/3) ÷ 4 = 1/12 by showing (1/12) × 4 = 1/3 ## Lesson: Splitting a fraction into smaller pieces Dividing a fraction by a whole number splits an already-small piece into even smaller equal pieces. If you have 1/3 of a bag of rice and share it evenly among 4 people, each person gets less than 1/3. *(drawing: Start with 1/3 of the bar shaded. This is the piece you are about to split.)* **Example.** To work out 1/3 ÷ 4, cut the shaded third into 4 equal strips. The whole bar is now cut into 3 × 4 = 12 equal parts, and only 1 of those parts is shaded. So 1/3 ÷ 4 = 1/12. **Tip.** The shortcut: to divide a unit fraction by a whole number, multiply the denominator by that whole number. The numerator stays 1. Check your answer by multiplying it back: 1/12 × 4 = 1/3. **Recap.** Dividing a fraction by a whole number splits it into more, smaller equal pieces, so the answer is always smaller than what you started with. ## Practice 18 questions on this page, each with its working shown. ## Needs first - [Fractions of a whole (age 10+)](https://lightmysky.com/learn/mathematics/fractions-of-a-whole-age-10-mt_4Km38F4L-6) - [Multiplying fractions (age 10+)](https://lightmysky.com/learn/mathematics/multiplying-fractions-age-10-mt_AabJisinfi) ## 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) - [Calculations with fractions, decimals and negatives](https://lightmysky.com/learn/mathematics/calculations-with-fractions-decimals-and-negatives-mt_gNUE4B3vuk) - [Dividing unit fractions and whole numbers](https://lightmysky.com/learn/mathematics/dividing-unit-fractions-and-whole-numbers-mt_rCMdwG-YOE)