Answer
$3+\dfrac{5}{m}+\dfrac{6}{m^2}$
Work Step by Step
Dividing the denominator to each of the terms of the numerator, the given expression, $
\dfrac{15m^3+25m^2+30m}{5m^3}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{15m^3}{5m^3}+\dfrac{25m^2}{5m^3}+\dfrac{30m}{5m^3}
\\\\=
3+\dfrac{5}{m}+\dfrac{6}{m^2}
.\end{array}