\[\boxed{\mathbf{1148}\mathbf{.}\mathbf{\ }}\]
\[1)\ 2\frac{13^{\backslash 3}}{14} + 1\frac{20^{\backslash 2}}{21} =\]
\[= 2\frac{39}{42} + 1\frac{40}{42} = 3\frac{79}{42} = 4\frac{37}{42} =\]
\[= \frac{205}{42} \Longrightarrow \frac{42}{205}\]
\[2)\ 8\frac{3^{\backslash 3}}{4} - 7\frac{5^{\backslash 2}}{6} = 8\frac{9}{12} - 7\frac{10}{12} =\]
\[= 7\frac{21}{12} - 7\frac{10}{12} = \frac{11}{12} \Longrightarrow \frac{12}{11}\]