\[\boxed{\mathbf{379}\mathbf{.}}\]
\[1)\ \frac{2}{11} < x < \frac{3}{11}\]
\[\frac{12}{66} < x < \frac{18}{66}\]
\[x = \frac{13}{66};\ \frac{15}{66} = \frac{5}{22};\ \frac{17}{66}.\]
\[2)\ \frac{1}{8} < x < \frac{1}{7}\]
\[\frac{7}{56} < x < \frac{8}{56}\]
\[\frac{28}{224} < x < \frac{32}{224}\]
\[x = \frac{29}{244};\frac{30}{224} = \frac{15}{112};\ \frac{31}{224}.\]