Answer
$-\dfrac{5i}{6}$
Work Step by Step
The expression $
\dfrac{5}{6i}
$ simplifies to
\begin{array}{l}
\dfrac{5}{6i}
\cdot
\dfrac{6i}{6i}
\\\\=
\dfrac{30i}{36i^2}
\\\\=
\dfrac{30i}{36(-1)}
\\\\=
-\dfrac{30i}{36}
\\\\=
-\dfrac{5i}{6}
.\end{array}