\[5\frac{1}{3} \cdot 9 - 2\frac{3}{4} \cdot 5\frac{1}{3} - 7\frac{1}{2} \cdot 1\frac{5}{9} =\]
\[= \frac{16 \cdot 9}{3} - \frac{11 \cdot 16}{4 \cdot 3} - \frac{15 \cdot 14}{2 \cdot 9} =\]
\[= 48 - \frac{44}{3} - \frac{35}{3} = 48 - \frac{79}{3} =\]
\[= 48 - 26\frac{1}{3} = 47\frac{3}{3} - 26\frac{1}{3} =\]
\[= 21\frac{2}{3}\]