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

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: 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})