ГДЗ по математике 5 класс Мерзляк ФГОС Задание 1027

\[\boxed{\mathbf{1027}\mathbf{.}\mathbf{\ }}\]

\[1)\ \left( x + \frac{5}{12} \right) - \frac{9}{20} = \frac{11}{15}\text{\ \ \ \ \ }\]

\[x + \frac{5}{12} = \frac{11^{\backslash 4}}{15} + \frac{9^{\backslash 3}}{20}\text{\ \ \ \ }\]

\[x + \frac{5}{12} = \frac{44 + 27}{60}\]

\[x + \frac{5}{12} = \frac{71}{60}\text{\ \ \ \ \ \ }\]

\[x = \frac{71}{60} - \frac{5^{\backslash 5}}{12}\]

\[x = \frac{71 - 25}{60} = \frac{46}{60} = \frac{23}{30}\]

\[Ответ:\ \frac{23}{30}.\]

\[2)\ 4\frac{3}{4} - \left( x - 2\frac{5}{8} \right) = 3\frac{5}{6}\]

\[x - 2\frac{5}{8} = 4\frac{3^{\backslash 3}}{4} - 3\frac{5^{\backslash 2}}{6}\]

\[x - 2\frac{5}{8} = 3\frac{21}{12} - 3\frac{10}{12}\]

\[x - 2\frac{5}{8} = \frac{11}{12}\]

\[x = \frac{11^{\backslash 2}}{12} + 2\frac{5^{\backslash 3}}{8} = \frac{22}{24} + 2\frac{15}{24} =\]

\[= 2\frac{37}{24}\]

\[x = 3\frac{13}{24}\]

\[Ответ:3\frac{13}{24}.\]