ГДЗ по математике 5 класс Ерина рабочая тетрадь Часть 1, 2 Часть 2 | Страница 31

\[Страница\ 31.\]

\[\boxed{\mathbf{12.}}\]

\[\textbf{а)}\ 30 - x = 4\frac{11}{23}\]

\[x = 29\frac{23}{23} - 4\frac{11}{23}\]

\[x = 25\frac{12}{23}.\]

\[Ответ:\ \ 25\frac{12}{23}.\]

\[\textbf{б)}\ \ \left( x - \frac{17}{29} \right) + \frac{11}{29} = 2\frac{9}{29}\ \]

\[x - \frac{17}{29} = 1\frac{38}{29} - \frac{11}{29}\]

\[x - \frac{17}{29} = 1\frac{27}{29}\]

\[x = 1\frac{27}{29} + \frac{17}{29}\]

\[x = 1\frac{44}{29}\]

\[x = 2\frac{15}{29}.\]

\[Ответ:2\frac{15}{29}.\]

\[\textbf{в)}\ 52 - x = 19\frac{13}{37}\]

\[x = 51\frac{37}{37} - 19\frac{13}{37}\]

\[x = 32\frac{24}{37}.\]

\[Ответ:\ \ 32\frac{24}{37}.\]

\[\textbf{г)}\ \left( 7\frac{36}{37} - x \right) + 6\frac{8}{37} = 9\frac{1}{37}\]

\[7\frac{36}{37} - x = 8\frac{38}{37} - 6\frac{8}{37}\]

\[7\frac{36}{37} - x = 2\frac{30}{37}\]

\[x = 7\frac{36}{37} - 2\frac{30}{37}\]

\[x = 5\frac{6}{37}.\]

\[Ответ:\ \ 5\frac{6}{37}\text{.\ }\]

\[\boxed{\mathbf{13.}}\]

\[\textbf{а)}\ \left( x - 6\frac{3}{19} \right) - 3\frac{11}{19} = 2\frac{9}{19}\]

\[x - 6\frac{3}{19} = 2\frac{9}{19} + 3\frac{11}{19}\]

\[x - 6\frac{3}{19} = 5\frac{20}{19}\]

\[x - 6\frac{3}{19} = 6\frac{1}{19}\]

\[x = 6\frac{1}{19} + 6\frac{3}{19}\]

\[x = 12\frac{4}{19}.\]

\[Ответ:\ \ 12\frac{4}{19}.\]

\[\textbf{б)}\ \left( x + 12\frac{7}{13} \right) - 4\frac{9}{13} = 12\frac{5}{13}\]

\[x + 12\frac{7}{13} = 12\frac{5}{13} + 4\frac{9}{13}\]

\[x + 12\frac{7}{13} = 16\frac{14}{13}\]

\[x = 16\frac{14}{13} - 12\frac{7}{13}\]

\[x = 4\frac{7}{13}.\]

\[Ответ:\ \ 4\frac{7}{13}.\]

\[\textbf{в)}\ 7\frac{15}{23} - \left( 5\frac{15}{23} - x \right) = \frac{7}{23}\]

\[5\frac{15}{23} - x = 7\frac{15}{23} - \frac{7}{23}\]

\[5\frac{15}{23} - x = 7\frac{8}{23}\]

\[x = 5\frac{15}{23} - 7\frac{8}{23}\]

\[Ответ:нельзя\ решить.\]

\[\textbf{г)}\ 19\frac{1}{17} - 8\frac{6}{17} - x = 5\frac{1}{17} + 3\frac{16}{17}\]

\[18\frac{18}{17} - 8\frac{6}{17} - x = 8\frac{17}{17}\]

\[10\frac{12}{17} - x = 9\]

\[x = 10\frac{12}{17} - 9\]

\[x = 1\frac{12}{17}.\]

\[Ответ:\ \ 1\frac{12}{17}.\]

\[\boxed{\mathbf{14.}}\]

\[\textbf{а)}\ x\ :9 = 5\frac{7}{9}\]

\[x\ :9 = \frac{52}{9}\]

\[x = 52.\]

\[Ответ:52.\ \]

\[\textbf{б)}\ x\ :9 = 8\frac{5}{9}\]

\[x\ :9 = \frac{77}{9}\]

\[x = 77.\]

\[Ответ:77.\]