Answer
$1$
Work Step by Step
The given expression, $
\dfrac{5m+25}{10}\div\dfrac{6m+30}{12}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{5m+25}{10}\cdot\dfrac{12}{6m+30}
\\\\=
\dfrac{5(m+5)}{10}\cdot\dfrac{12}{6(m+5)}
\\\\=
\dfrac{\cancel{5}(\cancel{m+5})}{\cancel{5}(2)}\cdot\dfrac{\cancel{6}(2)}{\cancel{6}(\cancel{m+5})}
\\\\=
\dfrac{2}{2}
\\\\=
1
.\end{array}
