Answer
$\frac{83}{24}-\frac{35}{24} i \approx 3.458-1.458 i$
Work Step by Step
Given \begin{equation}
\frac{3.5+8.3 i}{2.4 i}.
\end{equation} Multiply both numerator and denominator by $i$.
\begin{equation}
\begin{aligned}
\frac{3.5+8.3 i}{2.4 i}&=\frac{3.5+8.3 i}{2.4 i}\cdot \frac{i}{i}\\
&=\frac{3.5i+8.3 i^2}{2.4 i^2}\\
&=\frac{3.5i-8.3 }{-2.4 }\\
&= \frac{83}{24}-\frac{35}{24} i \\
&\approx 3.458-1.458 i.
\end{aligned}
\end{equation} The solution is $$\frac{83}{24}-\frac{35}{24} i \approx 3.458-1.458 i.$$
