\[\boxed{\mathbf{362}\mathbf{.}}\]
\[1)\ \left( \frac{5^{\backslash 2}}{12} + \frac{1^{\backslash 3}}{8} \right)\ :\frac{3}{8} =\]
\[= \frac{10 + 3}{24} \cdot \frac{8}{3} = \frac{13 \cdot 8}{24 \cdot 3} = \frac{13}{9} = 1\frac{4}{9}\]
\[2)\ \frac{5}{12} + \frac{1}{8}\ :\frac{3}{8} = \frac{5}{12} + \frac{1}{8} \cdot \frac{8}{3} =\]
\[= \frac{5}{12} + \frac{1^{\backslash 4}}{3} = \frac{5 + 4}{12} = \frac{9}{12} = \frac{3}{4}\]