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MathematicsFractionsAges 10–12

Dividing by Fractions

Interpret and compute division of a whole number by a unit fraction (e.g. 4 ÷ 1/5 = 20); use visual models and the relationship between multiplication and division to explain why the quotient is larger than the dividend

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Interpret whole-number division by a unit fraction as counting equal small portions.

Interpret whole-number division by a unit fraction as counting equal small portions.

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PhET Interactive Simulations · Practice link — not the full lesson

Fraction Matcher

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Before you open · source notes

Fraction Matcher supports hands-on exploration for Dividing by Fractions. Not every lab worksheet.

Free interactive page, no sign-in required for the tested path.

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Ask the learner what they changed in the sim or page and what they observed.

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Public PhET Interactive Simulations page. An anonymous GET on 2026-11-12 returned HTTP 200 with no login or payment prompt for this URL. Opening the link does not save practice or assess mastery. An adult should preview and guide the learner.

PhET Interactive Simulations. “Fraction Matcher.” External page; Gakuva does not copy, host, embed, or redistribute materials.

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Check understanding

  • Compute 4 ÷ (1/5) = 20 and explain: 'How many fifths fit in 4 wholes?'
  • Create a story context for 6 ÷ (1/4) and solve it
  • Verify 4 ÷ (1/5) = 20 by showing 20 × (1/5) = 4
“If you have 4 metres of ribbon and each bow needs 1/5 of a metre, can your child work out how many bows you can make — and explain why the answer is bigger than 4?”

Curriculum record

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

Standards

ccss-math:5.NF.7ccss-math:5.NF.7.bthe-ontario-curriculum-mathematics-2020:ON-MATH-2020-G5-B2.8the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G6-B2.10