Answer
$\dfrac{9E}{I}$
Work Step by Step
The given expression, $
\dfrac{E}{\dfrac{I}{9}}
,$ is equivalent to
\begin{array}{l}\require{cancel}
\dfrac{\dfrac{E}{1}}{\dfrac{I}{9}}
.\end{array}
Using $\dfrac{\frac{a}{b}}{\frac{c}{d}}=\dfrac{a}{b}\div\dfrac{c}{d}=\dfrac{a}{b}\cdot\dfrac{d}{c},$ the expression above is equivalent to
\begin{array}{l}\require{cancel}
\dfrac{E}{1}\cdot\dfrac{9}{I}
\\\\=
\dfrac{9E}{I}
.\end{array}