\[\boxed{\mathbf{2.}\mathbf{301}}\]
\[\textbf{а)}\ 2\frac{4^{\backslash 9}}{5} + 1\frac{1^{\backslash 5}}{9} = 2\frac{36}{45} + 1\frac{5}{45} =\]
\[= 3\frac{41}{45}\]
\[\textbf{б)}\ 5\frac{7^{\backslash 5}}{9} - 2\frac{3^{\backslash 9}}{5} = 5\frac{35}{45} - 2\frac{27}{45} =\]
\[= 3\frac{8}{45}\]
\[\textbf{в)}\ 6\frac{2^{\backslash 5}}{7} + 3\frac{4^{\backslash 7}}{5} = 6\frac{10}{35} + 3\frac{28}{35} =\]
\[= 9\frac{38}{35} = 10\frac{3}{35}\]
\[\textbf{г)}\ 16\frac{4^{\backslash 5}}{9} - 3\frac{2^{\backslash 3}}{15} =\]
\[= 16\frac{20}{45} - 3\frac{6}{45} = 13\frac{14}{45}\]
\[\textbf{д)}\ 42\frac{7^{\backslash 3}}{10} - 3\frac{4^{\backslash 2}}{15} =\]
\[= 42\frac{21}{30} - 3\frac{8}{30} = 39\frac{13}{30}\]
\[\textbf{е)}\ 15\frac{11^{\backslash 5}}{12} + 4\frac{7^{\backslash 4}}{15} =\]
\[= 15\frac{55}{60} + 4\frac{28}{60} = 19\frac{83}{60} = 20\frac{23}{60}\]