\[\boxed{\mathbf{2.}\mathbf{403}}\]
\[\textbf{а)}\ 1 + \frac{1}{3} = 1\frac{1}{3}\]
\[\textbf{б)}\ \frac{1}{6} + \frac{1^{\backslash 2}}{3} = \frac{1}{6} + \frac{2}{6} = \frac{3}{6} = \frac{1}{2}\]
\[\textbf{в)}\ \frac{5}{6} + \frac{1^{\backslash 2}}{3} = \frac{5}{6} + \frac{2}{6} = \frac{7}{6} = 1\frac{1}{6}\]
\[\textbf{г)}\ \frac{23}{24} + \frac{1^{\backslash 8}}{3} = \frac{23}{24} + \frac{8}{24} = \frac{31}{24} =\]
\[= 1\frac{7}{24}\]
\[\textbf{д)}\ 1\frac{5}{6} + \frac{1^{\backslash 2}}{3} = 1\frac{5}{6} + \frac{2}{6} = 1\frac{7}{6} =\]
\[= 2\frac{1}{6}\]