\[\boxed{\mathbf{387}\mathbf{.}}\]
\[1)\ 3\frac{2}{9} \cdot 2\frac{1}{5} + 2\frac{1}{5} \cdot 6\frac{7}{9} =\]
\[= 2\frac{1}{5} \cdot \left( 3\frac{2}{9} + 6\frac{7}{9} \right) = 2\frac{1}{5} \cdot 9\frac{9}{9} =\]
\[= \frac{11}{5} \cdot 10 = 11 \cdot 2 = 22\]
\[2)\ 4\frac{8}{9} \cdot 1\frac{1}{2} - 3\frac{5}{9} \cdot 1\frac{1}{2} =\]
\[= 1\frac{1}{2} \cdot \left( 4\frac{8}{9} - 3\frac{5}{9} \right) = 1\frac{1}{2} \cdot 1\frac{3}{9} =\]
\[= \frac{3}{2} \cdot \frac{12}{9} = \frac{1 \cdot 2}{1 \cdot 1} = 2\ \]