Paper 22 Q7IGCSE 0580 May/June 2023

Question

Without using a calculator, work out 4/7 ÷ 1 4/21 You must show all your working and give your answer as a fraction in its simplest form.

This question tests your ability to divide fractions, including mixed numbers. Division of fractions is a key skill that appears frequently in IGCSE Mathematics and forms the foundation for more complex algebraic work.

Step-by-Step Solution

Key Takeaway

To divide by a fraction, multiply by its reciprocal (flip the numerator and denominator).

Common Mistakes

Forgetting to convert the mixed number to an improper fraction before dividing, leading to incorrect calculations
Multiplying by the original fraction instead of its reciprocal when changing division to multiplication

Exam Tip

Always look for opportunities to cancel common factors before multiplying fractions - it makes the arithmetic much easier and reduces the chance of errors.

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