Решебник по математике 6 класс Мерзляк ФГОС Задание 340

\[\boxed{\mathbf{340\ (340).}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[\boxed{\mathbf{340}\mathbf{.}}\]

\[1)\ \frac{4}{11} + \frac{5}{33} + \frac{6}{33} + \frac{7}{11} =\]

\[= \frac{4 + 7}{11} + \frac{5 + 6}{33} = \frac{11}{11} + \frac{11}{33} =\]

\[= 1 + \frac{1}{3} = 1\frac{1}{3}\]

\[2)\ \frac{1}{25} + \frac{3}{20} + \frac{4}{25} + \frac{1}{20} =\]

\[= \frac{1 + 4}{25} + \frac{3 + 1}{20} = \frac{5}{25} + \frac{4}{20} =\]

\[= \frac{1}{5} + \frac{1}{5} = \frac{2}{5}\]

\[3)\ \frac{13}{72} + \frac{5}{56} + \frac{5}{72} + \frac{9}{56} =\]

\[= \frac{13 + 5}{72} + \frac{5 + 9}{56} = \frac{18}{72} + \frac{14}{56} =\]

\[= \frac{1}{4} + \frac{1}{4} = \frac{2}{4} = \frac{1}{2}\]

\[4)\ 1\frac{5}{28} + 2\frac{17}{64} + 3\frac{2}{28} + 4\frac{7}{64} =\]

\[= 4\frac{5 + 2}{28} + 6\frac{17 + 7}{64} =\]

\[= 4\frac{7}{28} + 6\frac{24}{64} = 4\frac{1^{\backslash 2}}{4} + 6\frac{3}{8} =\]

\[= 4\frac{2}{8} + 6\frac{3}{8} = 10\frac{5}{8}\]