$$\frac{ 1 }{ 3xy } - \frac{ 3 }{ 2 { x }^{ 2 } } + \frac{ 1 }{ x { y }^{ 2 } }$$
Evaluate
$\frac{2xy+6x-9y^{2}}{6\left(xy\right)^{2}}$
Short Solution Steps
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $3xy$ and $2x^{2}$ is $6yx^{2}$. Multiply $\frac{1}{3xy}$ times $\frac{2x}{2x}$. Multiply $\frac{3}{2x^{2}}$ times $\frac{3y}{3y}$.
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $6yx^{2}$ and $xy^{2}$ is $6x^{2}y^{2}$. Multiply $\frac{2x-9y}{6yx^{2}}$ times $\frac{y}{y}$. Multiply $\frac{1}{xy^{2}}$ times $\frac{6x}{6x}$.
