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MathematicsFractionsAges 10–12

Real-world fraction multiplication

Solve real-world problems involving multiplication of fractions and mixed numbers, using visual fraction models or equations

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1858 concepts · 9 subjects

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Choose and interpret multiplication in fraction and mixed-number stories, with an estimate and a fixed-unit visual check.

Choose and interpret multiplication in fraction and mixed-number stories, with an estimate and a fixed-unit visual check.

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Learning resources

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Illustrative Mathematics · Practice link — not the full lesson

Extending Multiplication From Whole Numbers to Fractions

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Before you open · source notes

Extending whole-number multiplication to fractions supports real-world fraction products. Not every reciprocal rule.

Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.

Before you open

Ask the learner to write one fraction-of-a-whole multiplication for a real amount.

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. “Extending Multiplication From Whole Numbers to Fractions.” 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

  • Solve: 'A recipe needs 2 1/3 cups of flour; you want to make 1 1/2 batches. How much flour?'
  • Draw a fraction model to represent and solve a multiplication word problem
  • Check the reasonableness of a fraction product in context using estimation
“If a recipe makes 12 biscuits using 1 and 1/2 cups of sugar, and your child wants to make only 2/3 of the recipe, can they work out how much sugar they need?”

Curriculum record

Type
Procedural
Subject
Mathematics
Domain
Fractions
Age range
Ages 10–12

Standards

acara-v9:AC9M6N09ccss-math:5.NF.6