# How do you simplify (-3+7i)/(1+8i)?

$\frac{- 3 + 7 i}{1 + 8 i} = \frac{\left(- 3 + 7 i\right) \left(1 - 8 i\right)}{\left(1 + 8 i\right) \left(1 - 8 i\right)} = \frac{- 3 + 24 i + 7 i + 56}{1 - 64} =$
$= \frac{53 + 31 i}{-} 63 = - \frac{53}{63} - \frac{31}{53} i$