Simplify \((\frac{3}{x} + \frac{15}{2y}) \div \frac{6}{xy}\)
MATHEMATICS
WAEC 1991
Simplify \((\frac{3}{x} + \frac{15}{2y}) \div \frac{6}{xy}\)
- A. \(\frac{2y - 5x}{4}\)
- B. \(\frac{9(2x - 5x)}{x^2y^2}\)
- C. \(\frac{5x - 2y}{2}\)
- D. \(\frac{c^2y^2}{18y - 45x}\)
Correct Answer: A. \(\frac{2y - 5x}{4}\)
Explanation
\((\frac{3}{x} - \frac{15}{2y}) \div \frac{6}{xy}\)
= \((\frac{6y - 15x}{2xy}) \div \frac{6}{xy}\)
= \(\frac{6y - 15x}{2xy} \times \frac{xy}{6}\)
= \(\frac{3(2y - 5x)}{2xy} \times \frac{xy}{6}\)
= \(\frac{2y - 5x}{4}\)
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