Answer
$33$
Work Step by Step
Using order of operations, the given expression, $
\dfrac{3(17-9)}{4}+\dfrac{9(16-7)}{3}
,$ simplifies to
\begin{array}{l}\require{cancel}
\dfrac{3(8)}{4}+\dfrac{9(9)}{3}
\\\\=
\dfrac{24}{4}+\dfrac{81}{3}
\\\\=
6+27
\\\\=
33
.\end{array}