\[\boxed{\text{5.385.}}\]
\[1)\ 7\frac{6}{22} + 5\frac{5}{22} = 12\frac{11}{22} = 12\frac{1}{2}\ \]
\[2)\ 6\frac{14}{15} + 3\frac{4}{15} = 9\frac{18}{15} = 10\frac{3}{15} =\]
\[= 10\frac{1}{5}\ \]
\[6\frac{14}{15} - 3\frac{4}{15} = 3\frac{10}{15} = 3\frac{2}{3}\ \]
\[3)\ \frac{22}{36} + \frac{11}{36} + \frac{4}{36} =\]
\[= \frac{22 + 11 + 4}{36} = \frac{37}{36} = 1\frac{1}{36}\ \]
\[\frac{22}{36} - \frac{11}{36} + \frac{4}{36} = \frac{22 - 11 + 4}{36} =\]
\[= \frac{15}{36} = \frac{5}{12}\ \]
\[4)\ \frac{12}{75} + \frac{14}{75} + \frac{1}{75} =\]
\[= \frac{12 + 14 + 1}{75} = \frac{27}{75} = \frac{9}{25}\ \]
\[\frac{12}{75} + \frac{14}{75} - \frac{1}{75} = \frac{12 + 14 - 1}{75} =\]
\[= \frac{25}{75} = \frac{1}{3}\text{\ \ }\]