ГДЗ по математике 6 класс Виленкин Часть 1, 2 Часть 1. Параграф 2. Действия со смешанными числами Задание 494

\[\boxed{\mathbf{2.494}}\]

\[\textbf{а)}\ 7\frac{2}{9}\ :4\frac{1}{3} \cdot 9 = \frac{65}{9}\ :\frac{13}{3} \cdot 9 =\]

\[= \frac{65 \cdot 3 \cdot 9}{9 \cdot 13} = 5 \cdot 3 = 15\]

\[\textbf{б)}\ 5\frac{3}{7}\ :\frac{8}{21}\ :2\frac{3}{8} = \frac{38}{7} \cdot \frac{21}{8}\ :\frac{19}{8} =\]

\[= \frac{38 \cdot 21 \cdot 8}{7 \cdot 8 \cdot 19} = 2 \cdot 3 = 6\]

\[\textbf{в)}\ 1\frac{11}{21} \cdot 3\frac{8}{9}\ :1\frac{7}{9} =\]

\[= \frac{32}{21} \cdot \frac{35}{9}\ :\frac{16}{9} = \frac{32 \cdot 35 \cdot 9}{21 \cdot 9 \cdot 16} =\]

\[= \frac{2 \cdot 5}{3} = \frac{10}{3} = 3\frac{1}{3}\]

\[\textbf{г)}\ \frac{5}{6} \cdot \frac{6}{11}\ :1\frac{1}{11} = \frac{5}{6} \cdot \frac{6}{11}\ :\frac{12}{11} =\]

\[= \frac{5 \cdot 6 \cdot 11}{6 \cdot 11 \cdot 12} = \frac{5}{12}\]