Dividing Fractions: Year 7 Mastery
Understanding the flip and multiply method Building fluency with fraction operations Problem solving with real-world applications Reasoning about why division works
Learning Intentions & Success Criteria
I can explain why we multiply by the reciprocal when dividing fractions I can divide fractions accurately using the standard algorithm I can solve real-world problems involving fraction division I can reason about whether my answers make sense
Understanding Division: What Does ÷ Mean?
Think-Pair-Share: What does 12 ÷ 3 mean in real life? Now consider: What might 1/2 ÷ 1/4 mean? Use fraction strips or circles to model this Record your thinking and be ready to share
The Algorithm: Flip and Multiply
To divide fractions: a/b ÷ c/d = a/b × d/c The reciprocal of c/d is d/c Example: 3/4 ÷ 2/5 = 3/4 × 5/2 = 15/8 Check: Does 15/8 = 1 7/8 make sense?
Check Your Understanding
Solve: 2/3 ÷ 1/6 Show your working Explain why your answer makes sense Extension: Create a real-world problem that uses this calculation