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Education Concept Tracker

A prerequisite knowledge graph of 1590 learning concepts across 8subjects. Track what you've mastered and see exactly what you're ready to learn next — the topics whose prerequisites you've already met. Built on the Marble Open Skill Taxonomy.

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Dividing by Fractions

Mathematics · Fractions · conceptual

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

What mastery looks like

  • 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

Check your understanding

If you have 4 metres of ribbon and each bow needs 1/5 of a metre, can Dividing by Fractions work out how many bows you can make — and explain why the answer is bigger than 4?