\[\boxed{\text{6.11}\text{3}\text{.}}\]
\[\textbf{а)}\ \frac{4}{7} + x = \frac{5}{7}\]
\[x = \frac{5}{7} - \frac{4}{7}\]
\[x = \frac{1}{7}\text{.\ }\]
\[Ответ:\ \frac{1}{7}\text{.\ }\]
\[\textbf{б)}\ m \cdot \frac{2}{9} = \frac{5}{9}\]
\[m = \frac{5}{9}\ :\frac{2}{9}\]
\[m = \frac{5}{9} \cdot \frac{9}{2}\]
\[m = \frac{5}{2} = 2\frac{1}{2}\text{.\ }\]
\[Ответ:\ 2\frac{1}{2}\text{.\ }\]
\[\textbf{в)}\ \frac{13}{15} - z = \frac{7}{45}\]
\[z = \frac{13}{15} - \frac{7}{45}\]
\[z = \frac{39}{45} - \frac{7}{45}\]
\[z = \frac{32}{45}\text{.\ }\]
\[Ответ:\ \frac{32}{45}\text{.\ }\]
\[\textbf{г)}\ n\ :\frac{3}{4} = \frac{8}{9}\]
\[n = \frac{8}{9} \cdot \frac{3}{4}\]
\[n = \frac{2}{3}\text{.\ }\]
\[Ответ:\ \frac{2}{3}\text{.\ \ \ }\]