ГДЗ по математике 5 класс Ерина рабочая тетрадь Часть 1, 2 Часть 2 | Страница 20

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\[\boxed{\mathbf{9.}}\]

\[\textbf{а)}\frac{17}{179} + \frac{167}{179} - \frac{77}{179} - \frac{67}{179} =\]

\[= \frac{184}{179} - \frac{144}{179} = \frac{40}{179}\]

\[\textbf{б)}\ \frac{102}{109} + \frac{18}{109} - \frac{39}{109} - \frac{51}{109} =\]

\[= \frac{120}{109} - \frac{90}{109} = \frac{30}{109}\]

\[\textbf{в)}\ \frac{19}{131} + \frac{129}{131} - \frac{49}{131} - \frac{39}{131} =\]

\[= \frac{148}{131} - \frac{88}{131} = \frac{60}{131}\]

\[\textbf{г)}\ \frac{61}{153} + \frac{109}{153} - \frac{68}{153} - \frac{2}{153} =\]

\[= \frac{170}{153} - \frac{70}{153} = \frac{100}{153}\]

\[\boxed{\mathbf{10.}}\]

\[\textbf{а)}\ \left( \frac{31}{47} - \frac{6}{47} \right) - \left( \frac{11}{47} - \frac{6}{47} \right) =\]

\[= \frac{25}{47} - \frac{5}{47} = \frac{20}{47}\]

\[\textbf{б)}\ \left( \frac{29}{53} - \frac{9}{53} \right) - \left( \frac{21}{53} - \frac{9}{53} \right) =\]

\[= \frac{20}{53} - \frac{12}{53} = \frac{8}{53}\]

\[\textbf{в)}\ \frac{17}{27} - \left( \frac{2}{27} + \left( \frac{9}{27} - \frac{4}{27} \right) \right) =\]

\[= \frac{17}{27} - \frac{7}{27} = \frac{10}{27}\]

\[\textbf{г)}\ \frac{18}{29} - \left( \frac{3}{29} + \left( \frac{16}{29} - \frac{11}{29} \right) \right) =\]

\[= \frac{18}{29} - \frac{8}{29} = \frac{10}{29}\]

\[\boxed{\mathbf{11.}}\]

\[\textbf{а)}\ \frac{53}{71} - \left( \frac{65}{71} - x \right) = \frac{14}{71}\]

\[\frac{65}{71} - x = \frac{53}{71} - \frac{14}{71}\]

\[\frac{65}{71} - x = \frac{39}{71}\]

\[x = \frac{65}{71} - \frac{39}{71}\]

\[x = \frac{26}{71}.\]

\[Ответ:x = \frac{26}{71}.\]

\[\textbf{б)}\ \left( x - \frac{11}{53} \right) - \frac{3}{53} = \frac{17}{53}\ \]

\[x - \frac{11}{53} = \frac{17}{53} + \frac{3}{53}\]

\[x - \frac{11}{53} = \frac{20}{53}\]

\[x = \frac{20}{53} - \frac{11}{53}\]

\[x = \frac{9}{53}.\]

\[Ответ:\ \frac{9}{53}.\]

\[\textbf{в)}\ \frac{37}{41} - \left( \frac{25}{41} + \left( \frac{17}{41} - x \right) \right) = \frac{2}{41}\]

\[\frac{25}{41} + \left( \frac{17}{41} - x \right) = \frac{37}{41} - \frac{2}{41}\]

\[\frac{25}{41} + \left( \frac{17}{41} - x \right) = \frac{35}{41}\]

\[\frac{17}{41} - x = \frac{35}{41} - \frac{25}{41}\]

\[\frac{17}{41} - x = \frac{10}{41}\]

\[x = \frac{17}{41} - \frac{10}{41}\]

\[x = \frac{7}{41}.\]

\[Ответ:\ \frac{7}{41}.\]

\[\textbf{г)}\ \frac{4}{19} - \left( \frac{11}{19} - \left( x - \frac{1}{19} \right) \right) = \frac{3}{19}\]

\[\frac{11}{19} - \left( x - \frac{1}{19} \right) = \frac{4}{19} - \frac{3}{19}\]

\[\frac{11}{19} - \left( x - \frac{1}{19} \right) = \frac{1}{19}\]

\[x - \frac{1}{19} = \frac{11}{19} - \frac{1}{19}\]

\[x - \frac{1}{19} = \frac{10}{19}\]

\[x = \frac{10}{19} + \frac{1}{19}\]

\[x = \frac{11}{19}.\]

\[Ответ:\ \frac{11}{19}.\]

\[(Под\ г)\ скорее\ всего\ опечатка,\ \]

\[поменяли\ знак,\ иначе\ \]

\[уравнение\ решить\ нельзя).\]