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1984 AMC 12 Question 2

AMC12 · 1984 AMC 12

Question 2

If $x,$ $y$ and $y-\frac1x$ are not $0,$ then $$
\frac{x-\frac1y}{y-\frac1x}
$$ equals
  1. $1$
  2. $\frac{x}{y}$
  3. $\frac{y}{x}$
  4. $\frac{x}{y}-\frac{y}{x}$
  5. $xy-\frac1{xy}$