\[\boxed{\mathbf{257.}}\]
\[= 3 + \frac{1}{9} + \frac{1}{3} + \frac{1}{4} + \frac{5}{18} =\]
\[= 3 + \frac{4 + 12 + 9 + 10}{36} =\]
\[= 3 + \frac{35}{36} = 3\frac{35}{36} = \frac{143}{36}.\]