Answer
$\dfrac{x(5y+1)}{3y}$
Work Step by Step
The given expression, $
\dfrac{\dfrac{5}{x}+\dfrac{1}{xy}}{\dfrac{3}{x^2}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{\dfrac{5y+1}{xy}}{\dfrac{3}{x^2}}
\\\\=
\dfrac{5y+1}{xy}\div\dfrac{3}{x^2}
\\\\=
\dfrac{5y+1}{xy}\cdot\dfrac{x^2}{3}
\\\\=
\dfrac{5y+1}{\cancel{x}y}\cdot\dfrac{\cancel{x}\cdot x}{3}
\\\\=
\dfrac{x(5y+1)}{3y}
.\end{array}
