Multiplying fractions
Understand a/b as a multiple of 1/b; multiply proper fractions and mixed numbers by whole numbers, supported by visual models (e.g. 3 × 2/5 = 6/5 = 1 1/5)
Lesson
Set out your lesson
Multiply a fraction or mixed number by a whole number using repeated equal quantities and a matching visual model.
Before teaching
Use this short check, then start teaching.
Ask the learner to express 3/5 as three copies of 1/5. If the denominator is treated as a piece count to multiply, revisit unit-fraction sums first. Mixed-number practice may need extra regrouping support. Hard prerequisite lesson-source availability is checked separately; availability is not learner readiness.
Check learner readiness directly; prerequisite lesson availability is not evidence of attainment.
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Teaching approaches
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1 approach
Multiply a fraction or mixed number by a whole number using repeated equal quantities and a matching visual model.
Multiply a fraction or mixed number by a whole number using repeated equal quantities and a matching visual model.
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Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
Illustrative Mathematics · Practice link — not the full lesson
Connor and Makayla Discuss Multiplication
Before you open · source notes
A student discussion supports multiplying fractions. Not every division of fractions.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk the learner to explain one fraction multiplication with a picture or 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. “Connor and Makayla Discuss Multiplication.” 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
- Calculate 4 × 3/8 using repeated addition or the rule n × a/b = (n×a)/b
- Multiply 2 1/3 × 3 and express as a mixed number
- Use a visual model to show why 5 × 1/4 = 5/4
“If a recipe uses 2/3 of a cup of butter and your child wants to make it three times over, can they work out how much butter they need in total?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Fractions
- Age range
- Ages 9–12
Standards