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?
Prerequisites
Required first
Helpful