Answer
$\frac{36y^2x}{16y^3x}$
Work Step by Step
For $\frac{9}{4y} = \frac{}{16y^3x}$,
$\frac{9}{4y} = \frac{(9)(4y^2x)}{(4y)(4y^2x)} = \frac{36y^2x}{16y^3x}$,
The equivalent rational expression of $\frac{9}{4y}$ with the given denominator is $\frac{36y^2x}{16y^3x}$.
