How do you divide (9+i)/(-7i)?

Sep 30, 2016

$\textcolor{g r e e n}{\frac{1}{7} - \frac{9}{7} i}$
$\textcolor{w h i t e}{\text{XXX}} \frac{9 + i}{7 i}$
Multiplying both the numerator and denominator by$i$
$\textcolor{w h i t e}{\text{XXX}} = \frac{9 i - 1}{- 7}$
$\textcolor{w h i t e}{\text{XXX}} = \frac{1}{7} - \frac{9}{7} i$