📚 Part 1: Understanding Division by Unit Fractions

Remember: Dividing by a unit fraction is the same as multiplying by its reciprocal. For example: 6 ÷ 1/3 = 6 × 3 = 18

1. Calculate these division problems. Show your working:

a) 8 ÷ 1/2 = ____________

b) 12 ÷ 1/4 = ____________

c) 15 ÷ 1/5 = ____________

2. Which calculation is equivalent to 10 ÷ 1/3?

10 × 1/3

10 × 3

10 ÷ 3

3 ÷ 10

🌟 Part 2: Word Problems

3. Sarah has 6 metres of ribbon. She wants to cut it into pieces that are each 1/4 metre long. How many pieces will she get?

Equation: ________________

Answer: ________ pieces

4. A baker has 9 kilograms of flour. Each batch of biscuits uses 1/3 kilogram of flour. How many batches can the baker make?

Equation: ________________

Answer: ________ batches

5. Tom runs 4 kilometres. If he stops for water every 1/2 kilometre, how many water stops will he make?

Equation: ________________

Answer: ________ stops

6. Draw a number line to show 8 ÷ 1/2. Mark the answer clearly.

7. Use fraction strips or diagrams to show how 6 ÷ 1/3 = 18. Draw your working below:

8. Explain in your own words why dividing by 1/4 is the same as multiplying by 4:

9. Challenge: Write your own word problem that involves dividing by a unit fraction, then solve it:

Your problem:

Solution: