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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
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Correct Answer: Option B
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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