\[\boxed{\mathbf{2.}\mathbf{175}}\]
\[\textbf{а)}\ \frac{19^{\backslash 4}}{24} - \frac{25^{\backslash 3}}{32} - \left( \frac{2^{\backslash 2}}{48} + \frac{1}{96} \right) =\]
\[= \frac{76}{96} - \frac{75}{96} - \frac{4}{96} - \frac{1}{96} =\]
\[= \frac{76 - 75 - 4 - 1}{96} =\]
\[= - \frac{4}{96} = - \frac{1}{24}\]
\[= \frac{55 + 21 - 12 - 2 - 40}{60} =\]
\[= \frac{22}{60} = \frac{11}{30}\]