Simplify (2x-3y)/(4xy)+(11y-2x)/(4xy)

$\frac{2 x - 3 y}{4 x y} + \frac{11 y - 2 x}{4 x y}$

Combine the numerators over the common denominator.

$\frac{2 x - 3 y + 11 y - 2 x}{4 x y}$

Combine the opposite terms in $2 x - 3 y + 11 y - 2 x$ .

Subtract $2 x$ from $2 x$ .

$\frac{- 3 y + 11 y + 0}{4 x y}$

Add $- 3 y + 11 y$ and $0$ .

$\frac{- 3 y + 11 y}{4 x y}$

Add $- 3 y$ and $11 y$ .

$\frac{8 y}{4 x y}$

Cancel the common factor of $8$ and $4$ .

Factor $4$ out of $8 y$ .

$\frac{4 (2 y)}{4 x y}$

Cancel the common factors.

Factor $4$ out of $4 x y$ .

$\frac{4 (2 y)}{4 (x y)}$

Cancel the common factor.

$\frac{4 (2 y)}{4 (x y)}$

Rewrite the expression.

$\frac{2 y}{x y}$

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{2 y}{x y}$

Rewrite the expression.

$\frac{2}{x}$