📚 Part 1: Multiple Choice

WALT: Solve division problems involving fractions by multiplying by the reciprocal.

Success criteria: I can divide fractions using invert-and-multiply and simplify my answers.

Please show working where helpful. Choose the best answer.

1. What is 3/4 ÷ 1/2?

3/8

3/2

1 1/2

1/6

2. 4 ÷ 2/3 is the same as:

4 × 3/2

4 × 2/3

4 ÷ 3/2

4 × 3

3. What is 2/5 ÷ 3?

2/15

6/15

2/8

3/10

4. Check all that apply: When dividing by a fraction you should:

invert the divisor

multiply by the reciprocal

divide numerators then divide denominators

always change to a decimal first

✏️ Part 2: Short Answers

Show steps and simplify your answers. Use the math-work-box for working and the short-answer-box for final answers.

5. Calculate: 3/4 ÷ 2/5

6. Calculate: 4 ÷ 1/3

7. Word problem: You have 2/3 L of juice. Each serving is 1/6 L. How many full servings can you pour?

8. Real-life: A running track is 3/5 km long. It is marked into sections of 1/10 km. How many sections are there?

9. Explain in one sentence why dividing by a fraction is the same as multiplying by its reciprocal. _________

🔎 Extension & Reflection

10. Challenge (extension): Calculate 1 1/2 ÷ 3/4. Show your steps.

Differentiation strategies: Pair students for peer support, use fraction strips for those who need visuals, and offer the challenge above to advanced learners.

Reflection (tick one):

I can divide fractions independently

I need more practise with invert-and-multiply

Dividing Fractions Mastery

Dividing Fractions Mastery

📚 Part 1: Multiple Choice

✏️ Part 2: Short Answers

🔎 Extension & Reflection

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