\[2\frac{1}{3} \cdot 9 - 1\frac{1}{3} \cdot 3\frac{1}{4} - 2\frac{2}{7} \cdot 3\frac{5}{24} =\]
\[= \frac{7 \cdot 9}{3 \cdot 1} - \frac{4 \cdot 13}{3 \cdot 4} - \frac{16 \cdot 77}{7 \cdot 24} =\]
\[= 21^{\backslash 3} - \frac{13}{3} - \frac{22}{3} =\]
\[= \frac{63 - 13 - 22}{3} = \frac{28}{3} = 9\frac{1}{3}\]