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
Teaching approaches
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1 approach
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?
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
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Explore the learning path
3 before · 1 after
Before
This 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