Simplify frac frac 1 x frac 1 y x y - WAEC Mathematics 2008 Question
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 Option: B
(\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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