\[\boxed{\mathbf{1041}\mathbf{.}\mathbf{\ }}\]
\[1)\ \left( 12\frac{19}{24} + 5\frac{19}{28} \right) - 3\frac{19}{24} =\]
\[= \left( 12\frac{19}{24} - 3\frac{19}{24} \right) + 5\frac{19}{28} =\]
\[= 9 + 5\frac{19}{28} = 14\frac{19}{28}\]
\[2)\ 6\frac{4}{9} - \left( 1\frac{7}{24} + 4\frac{4}{9} \right) =\]
\[= \left( 6\frac{4}{9} - 4\frac{4}{9} \right) - 1\frac{7}{24} =\]
\[= 2 - 1\frac{7}{24} = 1\frac{24}{24} - 1\frac{7}{24} = \frac{17}{24}\]