Dividing Fractions Using Reciprocals

Name: _________________________

Date: _________________________

Remember: To divide by a fraction, multiply by its reciprocal.

The reciprocal of a fraction is found by flipping it. For example: the reciprocal of ²⁄₃ is ³⁄₂

Part A: Find the Reciprocal

1. ³⁄₄ → __________

2. ⁵⁄₈ → __________

3. ²⁄₉ → __________

4. ⁷⁄₃ → __________

5. ⁴⁄₅ → __________

6. ⁹⁄₂ → __________

Show your working. Write your answer in simplest form.

1. ½ ÷ ¼ = __________________________________________

2. ³⁄₄ ÷ ²⁄₃ = __________________________________________

3. ⁵⁄₆ ÷ ⁵⁄₁₂ = __________________________________________

4. ²⁄₅ ÷ ³⁄₁₀ = __________________________________________

5. ⁷⁄₈ ÷ ¹⁄₄ = __________________________________________

6. ⁴⁄₉ ÷ ⁸⁄₃ = __________________________________________

These problems involve mixed numbers. Convert to improper fractions first!

1. 1½ ÷ ³⁄₄ = __________________________________________

2. 2¼ ÷ ½ = __________________________________________

3. ³⁄₅ ÷ 1⅕ = __________________________________________