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Simplify \(\frac{\frac{1}{x} + \frac{1}{y}}{x + y}\)

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Mathematics WAEC 2008

Simplify \(\frac{\frac{1}{x} + \frac{1}{y}}{x + y}\)

  • \(\frac{1}{x + y}\)
  • \(\frac{1}{xy}\) checkmark
  • x + y
  • xy

The correct answer is: 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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