Chapter 1, Equations and Graphs - Section 1.5 - Complex Numbers - 1.5 Exercises - Page 131: 44

$\frac{1}{3}+\frac{1}{5}i$

$\displaystyle \frac{-3+5i}{15i}=\frac{-3+5i}{15i}*\frac{15i}{15i}=\frac{-45i+75i^{2}}{225i^{2}}=\frac{-45i+75*-1}{225*-1}=\frac{-75-45i}{-225}=\frac{-75}{-225}+\frac{-45}{-225}i=\frac{1}{3}+\frac{1}{5}i$