Answer
$\frac{3x-2y+5}{xy}$
Work Step by Step
First, we will find the LCM of the two denominators. Upon inspection, we find that xy is the lowest number that is a multiple of x, y, and xy.
Therefore, $\frac{5}{xy}-\frac{2}{x}+\frac{3}{y}=\frac{5-2(y)+3(x)}{xy}$
Now, we will simplify the expression:
Step 1: $\frac{5-2(y)+3(x)}{xy}$
Step 2: $\frac{5-2y+3x}{xy}$
Step 3: $\frac{3x-2y+5}{xy}$
