Answer
$\frac{1}{x}+\frac{1}{y}=\frac{1}{x+y}$
Work Step by Step
Suppose x = 2 and y = 3.
$\frac{1}{x}+\frac{1}{y}+\frac{1}{2}+\frac{1}{3}=\frac{3+2}{6}=\frac{5}{6}$
$\frac{1}{x+y}=\frac{1}{2+3}=\frac{1}{5}$
Thus, $\frac{1}{x}+\frac{1}{y}=\frac{1}{x+y}$.
