🎯 WALT: Divide fractions by whole numbers and perform fraction operations

Part A: Multiple Choice Questions

1. What is 3/4 ÷ 2?

3/8

6/4

3/2

1/2

2. Which operation gives the same result as dividing a fraction by 2?

Multiplying by 2

Multiplying by 1/2

Adding 1/2

Subtracting 1/2

3. What is 2/3 + 1/6?

3/9

5/6

2/9

1/2

4. What is 3/5 × 2/3?

6/15

2/5

5/8

1/3

Part B: Problem Solving

5. A hangi recipe calls for 3/4 cup of kumara. If you want to make half the recipe, how much kumara do you need? Show your working.

Answer: _______ cups

6. Sarah has 2/3 of a chocolate bar. She eats 1/4 of the whole bar. What fraction of the chocolate bar is left? Show your working.

Answer: _______ of the chocolate bar

7. A garden plot is 5/6 metres long. It needs to be divided equally into 3 sections. How long is each section?

Answer: _______ metres

Part C: Explain Your Thinking

8. Explain why dividing a fraction by a whole number is the same as multiplying by the reciprocal of that whole number. Use an example to support your explanation.

9. Extension Challenge: A fisherman catches 7/8 kg of fish. He wants to share it equally among 4 whānau members. How much fish does each person get? Then, if 2 more people join, how would you redistribute the fish equally?

Each of 4 people gets: _______ kg

Each of 6 people gets: _______ kg