Решебник по математике 6 класс Мерзляк ФГОС Задание 281

 

\[\boxed{\mathbf{281\ (282)}\mathbf{.}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

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

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

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

\[Ответ:2\frac{13}{30}.\]

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

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

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

\[Ответ:4\frac{3}{14}.\]

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

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

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

\[Ответ:8\frac{35}{36}.\]

\[\boxed{\mathbf{281\ (}\mathbf{с}\mathbf{)}\mathbf{.}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\ 4\frac{3}{16} - \frac{5^{\backslash 2}}{8} = 3\frac{19}{16} - \frac{10}{16} =\]

\[= 3\frac{9}{16}\]

\[2)\ 6\frac{4^{\backslash 7}}{9} - 3\frac{6^{\backslash 9}}{7} = 6\frac{28}{63} - 3\frac{54}{63} =\]

\[= 5\frac{91}{63} - 3\frac{54}{63} = 2\frac{37}{63}\]

\[3)\ 10\frac{11^{\backslash 3}}{24} - 8\frac{19^{\backslash 2}}{36} =\]

\[= 10\frac{33}{72} - 8\frac{38}{72} =\]

\[= 9\frac{105}{72} - 8\frac{38}{72} = 1\frac{67}{72}\]

\[4)\ 9\frac{1^{\backslash 2}}{6} - 5\frac{3^{\backslash 3}}{4} = 9\frac{2}{12} - 5\frac{9}{12} =\]

\[= 8\frac{14}{12} - 5\frac{9}{12} = 3\frac{5}{12}\]

\[\boxed{\mathbf{281}\mathbf{.}}\]