\[\boxed{\text{5.260.}}\]
\[\textbf{а)}\ \frac{2}{5} + \frac{1}{5} = \frac{3}{5}\ \]
\[\frac{3}{5} + \frac{2}{5} = \frac{5}{5} = 1\ \]
\[1 - \frac{3}{7} = \frac{7}{7} - \frac{3}{7} = \frac{4}{7}\ \]
\[\frac{4}{7} + \frac{1}{7} = \frac{5}{7}\text{.\ }\]
\[Ответ:\ \frac{5}{7}.\]
\[\textbf{б)}\ \frac{5}{17} + \frac{7}{17} = \frac{12}{17}\ \]
\[\frac{12}{17} - \frac{12}{17} = 0\ \]
\[0 + \frac{7}{9} = \frac{7}{9}\ \]
\[\frac{7}{9} - \frac{4}{9} = \frac{3}{9}\text{.\ }\]
\[Ответ:\ \frac{3}{9}.\]
\[\textbf{в)}\ 2\ га\ :4 = 200\ а\ :4 = 50\ а;\ \]
\[50\ а - 20\ а = 30\ а;\ \]
\[30\ а\ :15 = 2\ а;\ \]
\[2\ а = 200\ м^{2}\ :50\ м^{2} = 4\ м^{2}\text{.\ }\]
\[Ответ:4\ м^{2}\text{.\ }\]
\[\textbf{г)}\ 5\ дм^{3}\ :100 =\]
\[= 5\ 000\ см^{3}\ :100 = 50\ см^{3};\ \]
\[50\ см^{3} - 25\ см^{3} = 25\ см^{3};\ \]
\[25\ см^{3} \cdot 5 = 125\ см^{3};\ \]
\[125\ см^{3} \cdot 8 = 1\ 000\ см^{3} =\]
\[= 1\ дм^{3}.\]
\[Ответ:1\ дм^{3}\text{.\ \ }\]