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
Lesson
Set out your lesson
Divide a unit fraction by a positive whole number and explain the smaller share using a fixed-whole model.
Before teaching
Use this short check, then start teaching.
Use mt_4Km38F4L-6 to check fraction-as-division and mt_AabJisinfi to check multiplication back. Ask the learner to distinguish one quarter of a whole from one quarter of an already small piece. Canonical ages are 10–11, not a readiness guarantee. These activity checks are inferred; source availability is not mastery.
Check learner readiness directly; prerequisite availability is not attainment.
Share and support
Family records and proof options
Keep a record of your learning
Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.
Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
Illustrative Mathematics · Practice link — not the full lesson
How many servings of oatmeal?
Before you open · source notes
An oatmeal servings story supports dividing with unit fractions. Not every decimal division.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk how many servings fit and write the division equation.
Opening this link does not save learning or assess mastery.
Source, access and review notes
Public Illustrative Mathematics task page. The .html address responds HTTP 308 to this URL. An anonymous GET of this URL on 2026-11-12 returned HTTP 200 with no login or payment prompt. Where a teacher solution is present, it is on the same page as the student task; this check did not find a separate locked student view. An adult can use the student view section and should not read a solution aloud. Advertising was not observed in the fetched HTML text; that is not a browser, device, or ad-free guarantee. This is a paper or discussion task, not an automatically marked interactive game. Opening the link does not save practice or assess mastery. Diagrams on the page use missing or filename-only alt text, so they are not an accessible image equivalent. Accessibility still depends on an adult describing the picture.
Illustrative Mathematics. “How many servings of oatmeal?.” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.
CC BY-NC-SA 4.0 — link only
Check understanding
- 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
“If your child has 1/3 of a bag of rice and splits it into 4 equal portions, can they work out what fraction of the whole bag each portion is — and explain why the answer is smaller than 1/3?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 10–13
Standards