MathematicsFractionsAges 10–11
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
Learning resources
Reviewed external links that reinforce this concept. They do not replace Gakuva’s teaching approach.
No reviewed resources for this concept yet.
The teaching approach above still stands. Curated practice links will appear here as the shelf fills.
Explore the learning path
3 before · 1 after
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Before
This concept
Dividing by FractionsConceptual concept
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 10–11