Simplify \(\frac{\frac{1}{x} + \frac{1}{y}}{x + y}\)
MATHEMATICS
WAEC 2008
Simplify \(\frac{\frac{1}{x} + \frac{1}{y}}{x + y}\)
- A. \(\frac{1}{x + y}\)
- B. \(\frac{1}{xy}\)
- C. x + y
- D. xy
Correct Answer: B. \(\frac{1}{xy}\)
Explanation
\(\frac{\frac{1}{x} + \frac{1}{y}}{x + y}\) = \(\frac{\frac{y + x}{xy}}{x + y}\)
= \(\frac{x + y}{xy}\)
= \(\frac{x + y}{xy} \times \frac{1}{x + y}\)
= \(\frac{1}{xy}\)
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