# How do you divide (5-i)/(3+3i)?

Jan 11, 2016

Multiply top and bottom by the conjugate of the denominator ...

#### Explanation:

$\frac{5 - i}{3 + 3 i} \times \frac{3 - 3 i}{3 - 3 i} = \frac{12 - 18 i}{18} = \frac{2}{3} - i$

hope that helped

Jan 11, 2016

$\frac{5 - i}{3 + 3 i}$*$\frac{3 - 3 i}{3 - 3 i}$=$\frac{12 - 18 i}{9 + 9}$=$\left(\frac{1}{18}\right) \left(12 - 18 i\right)$