ГДЗ по математике 6 класс Мерзляк Задание 310

\[\boxed{\mathbf{310\ (311).}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\ \left( 9\frac{3}{7} + 2\frac{9}{16} \right) - 5\frac{3}{7} =\]

\[= \left( 9\frac{3}{7} - 5\frac{3}{7} \right) + 2\frac{9}{16} =\]

\[= 4 + 2\frac{9}{16} = 6\frac{9}{16}\]

\[2)\ \left( 4\frac{5}{8} + 1\frac{6}{11} \right) - \frac{6}{11} =\]

\[= \left( 1\frac{6}{11} - \frac{6}{11} \right) + 4\frac{5}{8} = 1 + 4\frac{5}{8} =\]

\[= 5\frac{5}{8}\]

\[3)\ 10\frac{5}{14} - \left( 3\frac{5}{14} + 2\frac{9}{34} \right) =\]

\[= \left( 10\frac{5}{14} - 3\frac{5}{14} \right) - 2\frac{9}{34} =\]

\[= 7 - 2\frac{9}{34} =\]

\[= 6\frac{34}{34} - 2\frac{9}{34} = 4\frac{25}{34}\]

\[4)\ 7\frac{1}{7} - \left( 2\frac{6}{13} + 3\frac{1}{7} \right) =\]

\[= \left( 7\frac{1}{7} - 3\frac{1}{7} \right) - 2\frac{6}{13} =\]

\[= 4 - 2\frac{6}{13} =\]

\[= 3\frac{13}{13} - 2\frac{6}{13} = 1\frac{7}{13}\]

\[\boxed{\mathbf{310\ (}\mathbf{с}\mathbf{).}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[Было:\]

\[a - b.\]

\[1)\ \left( a - 6\frac{19}{91} \right) - b =\]

\[= a - 6\frac{19}{91} - b = a - b - 6\frac{19}{91}.\]

\[Уменьшится\ на\ 6\frac{19}{91}.\]

\[2)\ a - \left( b - 5\frac{1}{58} \right) =\]

\[= a - b + 5\frac{1}{58}.\]

\[Увеличится\ на\ 5\frac{1}{58}.\]

\[3)\ \left( a - \frac{14^{\backslash 2}}{45} \right) - \left( b - \frac{3^{\backslash 9}}{10} \right) =\]

\[= a - \frac{28}{90} - b + \frac{27}{90} =\]

\[= a - b - \left( \frac{28}{90} - \frac{27}{90} \right) =\]

\[= a - b - \frac{1}{90} \Longrightarrow уменьшится\ \]

\[на\ \frac{1}{90}.\]

\[4)\ \left( a + 7\frac{3^{\backslash 2}}{28} \right) - \left( b - 8\frac{5^{\backslash 7}}{8} \right) =\]

\[= a + 7\frac{6}{56} - b + 8\frac{35}{56} =\]

\[= a - b + 15\frac{41}{56} \Longrightarrow увеличится\ \]

\[на\ 15\frac{41}{60}.\]