\[\boxed{\mathbf{322}\mathbf{.}}\]
\[1)\ 1\frac{14}{23} = \frac{37}{23}\]
\[2)\ 2\frac{5}{8} = \frac{21}{8}\]
\[3)\ 6\frac{2}{9} = \frac{56}{9}\]
\[4)\ 3\frac{3}{20} = \frac{63}{20}\]
\[5)\ 4\frac{6}{13} = \frac{58}{13}\]