Answer
$\color{blue}{1}$
Work Step by Step
Use the rule $\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a}{b} \times \dfrac{d}{c}$ to obtain:
$=\dfrac{5m+25}{10} \times \dfrac{12}{6m+30}$
Factor the binomials then cancel common factors to obtain:
$\require{cancel}
=\dfrac{5(m+5)}{5(2)} \times \dfrac{6(2)}{6(m+5)}
\\=\dfrac{\cancel{5}\cancel{(m+5)}}{\cancel{5}\cancel{(2)}} \times \dfrac{\cancel{6}\cancel{(2)}}{\cancel{6}\cancel{(m+5)}}
\\=\color{blue}{1}$
