\[\boxed{\mathbf{341}\mathbf{.}}\]
\[1)\ \frac{4}{15} + \frac{13}{36} + \frac{1}{15} + \frac{5}{36} =\]
\[= \frac{4 + 1}{15} + \frac{13 + 5}{36} =\]
\[= \frac{5}{15} + \frac{18}{36} = \frac{1^{\backslash 2}}{3} + \frac{1^{\backslash 3}}{2} =\]
\[= \frac{2}{6} + \frac{3}{6} = \frac{5}{6}\]
\[2)\ 2\frac{5}{18} + 4\frac{1}{48} + 6\frac{7}{48} + 3\frac{1}{18} =\]
\[= 5\frac{5 + 1}{18} + 10\frac{1 + 7}{48} =\]
\[= 5\frac{6}{18} + 10\frac{8}{48} = 5\frac{1^{\backslash 2}}{3} + 10\frac{1}{6} =\]
\[= 5\frac{2}{6} + 10\frac{1}{6} = 15\frac{3}{6} = 15\frac{1}{2}\]