Answer
$\frac{4}{61}+\frac{17}{61}i$
Work Step by Step
$\frac{2+i}{5-6i}$
=$\frac{2+i}{5-6i}\times\frac{5+6i}{5+6i}$
=$\frac{2(5+6i)+i(5+6i)}{5^{2}-(6i)^{2}}$
=$\frac{10+12i+5i+6i^{2}}{25-36i^{2}}$
=$\frac{10+17i+6(-1)}{25-36(-1)}$
=$\frac{4+17i}{25+36}$
=$\frac{4+17i}{61}$
=$\frac{4}{61}+\frac{17}{61}i$
