Mathematics·Fractions·conceptual
Dividing fractions (unit fractions)
Interpret and compute division of a unit fraction by a non-zero whole number (e.g. 1/3 ÷ 4 = 1/12); use visual models and the relationship between multiplication and division to explain the result
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 (1/3) ÷ 4 = 1/12 and explain using a visual model of splitting 1/3 into 4 equal parts
- Create a story context for (1/6) ÷ 3 and solve it
- Verify (1/3) ÷ 4 = 1/12 by showing (1/12) × 4 = 1/3
Assessment prompt
If Dividing fractions (unit fractions) has 1/3 of a bag of rice and splits it into 4 equal portions, can they work out what fraction of the whole bag each portion is — and explain why the answer is smaller than 1/3?
Standards alignment
No external standards are linked to this topic.