ГДЗ по математике 6 класс Мерзляк Задание 464

\[\boxed{\mathbf{464\ (464).}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\ 2\frac{2}{11}x - \frac{5}{16} = 1\frac{3}{4}\]

\[\frac{24}{11}x = \frac{7^{\backslash 4}}{4} + \frac{5}{16}\]

\[\frac{24}{11}x = \frac{28 + 5}{16}\]

\[\frac{24}{11}x = \frac{33}{16}\]

\[x = \frac{33}{16}\ :\frac{24}{11}\]

\[x = \frac{33}{16} \cdot \frac{11}{24}\]

\[Ответ:\ \frac{121}{128}.\]

\[2)\ 4\frac{2}{9}x + 3\frac{5}{14} = 6\frac{11}{21}\]

\[\frac{38}{9}x = \frac{137^{\backslash 2}}{21} - \frac{47^{\backslash 3}}{14}\]

\[\frac{38}{9}x = \frac{274 - 141}{42}\]

\[\frac{38}{9}x = \frac{133}{42}\]

\[x = \frac{133}{42}\ :\frac{38}{9}\]

\[Ответ:\ \frac{3}{4}.\]

\[3)\frac{11}{18} - \frac{14}{27}x = \frac{5}{12}\]

\[\frac{14}{27}x = \frac{11^{\backslash 2}}{18} - \frac{5^{\backslash 3}}{12}\]

\[\frac{14}{27}x = \frac{22 - 15}{36}\]

\[\frac{14}{27}x = \frac{7}{36}\]

\[x = \frac{7}{36}\ :\frac{14}{27}\]

\[Ответ:\ \frac{3}{8}.\]

\[4)\frac{1^{\backslash 20}}{3}x + \frac{1^{\backslash 15}}{4}x + \frac{1^{\backslash 12}}{5}x =\]

\[= 1\frac{19}{75}\]

\[\frac{20 + 15 + 12}{60}x = \frac{94}{75}\]

\[\frac{47}{60}x = \frac{94}{75}\]

\[x = \frac{94}{75}\ :\frac{47}{60}\]

\[Ответ:\ \ 1\frac{3}{5}.\]

\[5)\ 4\frac{1}{2}\ :x + 1\frac{3}{4} = 3\frac{19}{28}\]

\[\frac{9}{2}\ :x = \frac{103}{28} - \frac{7^{\backslash 7}}{4}\]

\[\frac{9}{2}\ :x = \frac{103 - 49}{28}\]

\[\frac{9}{2}\ :x = \frac{54}{28}\]

\[x = \frac{9}{2}\ :\frac{54}{28}\]

\[x = 2\frac{1}{3}\]

\[Ответ:\ \ 2\frac{1}{3}.\]

\[6)\ 3\frac{2}{3}\ :\left( x - 2\frac{4}{15} \right) = 3\frac{5}{13}\]

\[x - 2\frac{4}{15} = 3\frac{2}{3}\ :3\frac{5}{13}\]

\[x - \frac{34}{15} = \frac{11}{3}\ :\frac{44}{13}\]

\[x = \frac{13^{\backslash 5}}{12} + \frac{34^{\backslash 4}}{15}\]

\[x = \frac{65 + 136}{60} = \frac{201}{60} = 3\frac{21}{60}\]

\[x = 3\frac{7}{20}\]

\[Ответ:\ \ 3\frac{7}{20}.\]