Решебник по математике 6 класс Мерзляк ФГОС Задание 282

 

\[\boxed{\mathbf{282\ (283)}\mathbf{.}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\ 6\frac{3}{11} + x = 10\frac{6}{7}\text{\ \ }\]

\[x = 10\frac{6^{\backslash 11}}{7} - 6\frac{3^{\backslash 7}}{11}\]

\[x = 10\frac{66}{77} - 6\frac{21}{77}\]

\[x = 4\frac{45}{77}\]

\[Ответ:4\frac{45}{77}.\]

\[2)\ 9\frac{5}{36} - x = 2\frac{4}{9}\text{\ \ \ \ \ }\]

\[x = 9\frac{5}{36} - 2\frac{4^{\backslash 4}}{9}\]

\[x = 8\frac{41}{36} - 2\frac{16}{36}\]

\[x = 6\frac{25}{36}\]

\[Ответ:6\frac{25}{36}.\]

\[3)\ x - 5\frac{17}{60} = 7\frac{9}{20}\text{\ \ \ }\]

\[x = 7\frac{9^{\backslash 3}}{20} + 5\frac{17}{60}\]

\[x = 7\frac{27}{60} + 5\frac{17}{60}\]

\[x = 12\frac{44}{60} = 12\frac{11}{15}\]

\[Ответ:12\frac{11}{15}.\]

\[\boxed{\mathbf{282\ (}\mathbf{с}\mathbf{)}\mathbf{.}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\ x + 7\frac{4}{15} = 9\frac{7}{10}\text{\ \ \ \ \ }\]

\[x = 9\frac{7^{\backslash 3}}{10} - 7\frac{4^{\backslash 2}}{15} = 9\frac{21}{30} - 7\frac{8}{30}\]

\[x = 2\frac{13}{30}\]

\[Ответ:2\frac{13}{30}.\]

\[2)\ 8\frac{9}{14} - x = 4\frac{3}{7}\text{\ \ \ \ \ \ }\]

\[x = 8\frac{9}{14} - 4\frac{3^{\backslash 2}}{7} = 8\frac{9}{14} - 4\frac{6}{14}\]

\[x = 4\frac{3}{14}\]

\[Ответ:4\frac{3}{14}.\]

\[3)\ x - 3\frac{8}{9} = 5\frac{1}{12}\text{\ \ \ \ \ }\]

\[x = 5\frac{1^{\backslash 3}}{12} + 3\frac{8^{\backslash 4}}{9} = 5\frac{3}{36} + 3\ \frac{32}{36}\]

\[x = 8\frac{35}{36}\]

\[Ответ:8\frac{35}{36}.\]

\[\boxed{\mathbf{282}\mathbf{.}}\]

\[1)\ Бесконечно\ много\ точек.\]

\[2)\ Бесконечно\ много\ точек.\]