\[8\frac{1}{3} \cdot 9 - 2\frac{2}{3} \cdot 3\frac{1}{4} - 4\frac{4}{7} \cdot 3\frac{5}{24} =\]
\[= \frac{25 \cdot 9}{3} - \frac{8 \cdot 13}{3 \cdot 4} - \frac{32 \cdot 77}{7 \cdot 24} =\]
\[= 75 - \frac{26}{3} - \frac{44}{3} =\]
\[= 75 - \frac{70}{3} = 74\frac{3}{3} - 23\frac{1}{3} = 51\frac{2}{3}\]