\[\boxed{\text{5.286.}}\]
\[\textbf{а)}\ 1 - \frac{5}{13} = \frac{13}{13} - \frac{5}{13} = \frac{8}{13}\ \]
\[\frac{8}{13} + \frac{4}{13} = \frac{12}{13}\ \]
\[\frac{12}{13} - \frac{2}{13} = \frac{10}{13}\ \]
\[\frac{10}{13} - \frac{10}{13} = 0.\ \]
\[Ответ:0.\ \]
\[\textbf{б)}\ 1\ дм^{2}\ :10 = 100\ см^{2}\ :10 =\]
\[= 10\ см^{2}\ \]
\[10\ см^{2} + 40\ см^{2} = 50\ см^{2}\ \]
\[50\ см^{2}\ :5 = 10\ см^{2}\ \]
\[10\ см^{2}\ :20 = 1\ 000\ мм^{2}\ :20 =\]
\[= 50\ мм^{2}.\]
\[Ответ:50\ мм^{2}\text{.\ }\]
\[\textbf{в)}\ \frac{8}{15} + \frac{7}{15} = \frac{15}{15} = 1\ \]
\[1 - \frac{3}{8} = \frac{8}{8} - \frac{3}{8} = \frac{5}{8}\ \]
\[\frac{5}{8} - \frac{1}{8} = \frac{4}{8}\ \]
\[\frac{4}{8} + \frac{3}{8} = \frac{7}{8}\text{.\ }\]
\[Ответ:\ \frac{7}{8}\text{.\ \ }\]
\[\textbf{г)}\ 6\ л\ :12 = 6\ 000\ см^{3}\ :12 =\]
\[= 500\ см^{3}\ \]
\[500\ см^{3}\ :2 = 250\ см^{3}\ \]
\[250\ см^{3} + 50\ см^{3} = 300\ см^{3}\ \]
\[300\ см^{3} \cdot 3 = 900\ см^{3}\text{.\ }\]
\[Ответ:900\ см^{3}\text{.\ }\]