\[\boxed{\mathbf{388}\mathbf{.}}\]
\[1)\ 3\frac{7}{8} \cdot \frac{4}{5} - 1\frac{5}{8} \cdot \frac{4}{5} =\]
\[= \frac{4}{5} \cdot \left( 3\frac{7}{8} - 1\frac{5}{8} \right) = \frac{4}{5} \cdot 2\frac{2}{8} =\]
\[= \frac{4}{5} \cdot 2\frac{1}{4} = \frac{4}{5} \cdot \frac{9}{4} = \frac{9}{5} = 1\frac{4}{5}\]
\[2)\ 4\frac{2}{7} \cdot 1\frac{1}{16} + 3\frac{5}{7} \cdot 1\frac{1}{16} =\]
\[= 1\frac{1}{16} \cdot \left( 4\frac{2}{7} + 3\frac{5}{7} \right) =\]
\[= 1\frac{1}{16} \cdot 7\frac{7}{7} = \frac{17}{16} \cdot 8 = \frac{17}{2} = 8\frac{1}{2}\]