📚 Part 1: Understanding Reciprocals

1. What is the reciprocal of each fraction? Circle the correct answer.

a) Reciprocal of 3/4:

4/3

3/4

1/4

b) Reciprocal of 2/5:

2/5

5/2

1/5

2. Complete this rule: To divide by a fraction, multiply by its ___________.

✏️ Part 2: Dividing Fractions

3. Solve these fraction division problems. Show your working by rewriting as multiplication.

a) 1/2 ÷ 1/4 = 1/2 × _____ = _____

b) 3/4 ÷ 2/3 = _____ × _____ = _____

c) 5/6 ÷ 1/2 = _____ × _____ = _____

4. Calculate these problems involving whole numbers:

a) 2 ÷ 3/5 = _____

b) 7/8 ÷ 4 = _____

5. A recipe requires 3/4 of a cup of flour. If you only have 1/2 a cup, what fraction of the recipe can you make?

Write the division problem: _____ ÷ _____ = _____

6. If 2/3 of a metre of fabric is needed for one school bag, how many bags can you make from 2 metres of fabric?

Write the division problem: _____ ÷ _____ = _____

7. Explain in your own words why dividing by a fraction is the same as multiplying by its reciprocal.