Mathematics·Fractions·conceptual
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
Suggested ages 10–11
Learning journey
Your child is mastering advanced fraction operations — adding, subtracting, and multiplying fractions with different denominators, dividing with fractions, and solving real-world problems using visual models and mathematical reasoning.
Evidence of 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
Assessment prompt
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?
Standards alignment
No external standards are linked to this topic.