Answer
$6$
Work Step by Step
Using order of operations, the given expression, $
\dfrac{4\cdot6+5\cdot3}{7+2\cdot3}+\dfrac{7\cdot9+6\cdot5}{3\cdot5+8\cdot2}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{24+15}{7+6}+\dfrac{63+30}{15+16}
\\\\=
\dfrac{39}{13}+\dfrac{93}{31}
\\\\=
3+3
\\\\=
6
.\end{array}
