\[\boxed{\text{5.373.}}\]
\[\frac{5}{6}\ и\ \frac{3}{8}:\ \]
\[1)\ \frac{5}{6} = \frac{20}{24};\ \ \ \ \frac{3}{8} = \frac{9}{24}\text{.\ }\]
\[2)\ \frac{20}{24} + \frac{9}{24} = \frac{29}{24}\text{.\ \ }\]
\[3)\ \frac{29}{24} = 1\frac{5}{24}\text{.\ \ }\]