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 \(\frac{c^2y^2}{18y - 45x}\)
  • E \(\frac{4}{2y - 5x}\)
waec 1991mathematics

The correct answer is A. \(\frac{2y - 5x}{4}\)

\((\frac{3}{x} - \frac{15}{2y}) \div \frac{6}{xy}\)

= \((\frac{6y - 15x}{2xy}) \div \frac{6}{xy}\)

= \(\frac{6y - 15x}{2xy} \times \frac{xy}{6}\)

= \(\frac{3(2y - 5x)}{2xy} \times \frac{xy}{6}\)

= \(\frac{2y - 5x}{4}\)

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