Solution
= Solution
Multiply numerator and denominator by the denominator's <complex conjugate>:
$$
\frac{3+2i}{5-4i}=\frac{(3+2i)(5+4i)}{25+16}=\frac{7+22i}{41}.
$$
Thus the <real part> is $\boxed{7/41}$ and the <imaginary part> is $\boxed{22/41}$.