Answer
$\frac{37}{72}-\frac{1}{3} i\approx 0.514-0.333 i$
Work Step by Step
Given \begin{equation}
\frac{2.4+3.7 i}{7.2 i}.
\end{equation} Multiply both numerator and denominator by $i$.
\begin{equation}
\begin{aligned}
\frac{2.4+3.7 i}{7.2 i}&=\frac{2.4+3.7 i}{7.2 i}\cdot \frac{i}{i}\\
& =\frac{2.4i+3.7 i^2}{7.2 i^2}\\
&=\frac{2.4i-3.7 }{-7.2 }\\
&= \frac{3.7}{7.2 }-\frac{2.4}{7.2 }i\\
&= \frac{37}{72}-\frac{1}{3} i \\
&\approx 0.514-0.333 i.
\end{aligned}
\end{equation} The solution is $$\frac{37}{72}-\frac{1}{3} i\approx 0.514-0.333 i.$$
