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Multiplying fractions is a core skill in GCSE Foundation Maths that appears in topics from algebra to ratio. Two common approaches are the straightforward “multiply across then simplify” method and the more efficient “cross-cancel then multiply” technique. Below, we’ll solve the example
\frac{3}{4} \times \frac{2}{5}
by both methods and compare their advantages.
When you’re honing these skills under exam conditions, support from Online GCSE Maths Tutoring can help you identify the quickest route and avoid simple errors.
Table: Comparing Two Methods for \tfrac{3}{4} \times \tfrac{2}{5}
| Method | Steps | Pros | Cons |
|---|---|---|---|
| Multiply Then Simplify | 1. Multiply numerators: 3 \times 2 = 6. 2. Multiply denominators: 4 \times 5 = 20. 3. Simplify \tfrac{6}{20} = \tfrac{3}{10}. | – Straightforward and systematic. – Easy to remember. | – May involve dealing with larger numbers before simplifying. |
| Cross-Cancel Then Multiply | 1. Identify common factors across numerator and opposite denominator: here, 2 divides numerator 2 and denominator 4. 2. Cancel to get \tfrac{3}{2} \times \tfrac{1}{5}. 3. Multiply: 3 \times 1 = 3, 2 \times 5 = 10. 4. Result: \tfrac{3}{10}. | – Keeps numbers small. – Reduces arithmetic and risk of error. | – Requires spotting common factors quickly. |
Which Method Should You Use?
- For beginners or when you need a guaranteed systematic route, use the “multiply then simplify” method.
- For speed and fewer calculations, practise cross-cancelling to reduce fractions before multiplying.
Key Tips for Exam Success
- Always look for common factors between any numerator and any denominator before you multiply.
- Write down each cancellation clearly to avoid skipping a step.
- Check your final fraction can’t be simplified further.
With regular practice of both strategies—and, if needed, guidance from Online GCSE Tutoring—you’ll multiply fractions accurately and swiftly in your GCSE exams. Good luck!
