ГДЗ по математике 6 класс Мерзляк Задание 619

\[\boxed{\mathbf{619\ (619)}\mathbf{.}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

Пояснение.

Решение.

\[1)\ \frac{3}{4}\ :x = 1\frac{1}{5}\ :1\frac{1}{3}\]

\[\frac{3}{4}\ :x = \frac{6}{5}\ :\frac{4}{3}\]

\[\frac{6}{5}x = \frac{3}{4} \cdot \frac{4}{3}\]

\[\frac{6}{5}x = 1\]

\[x = 1\ :\frac{6}{5}\]

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

\[Ответ:\ \frac{5}{6}.\]

\[2)\ \frac{2}{x - 0,4} = \frac{1}{0,4}\]

\[(x - 0,4) \cdot 1 = 2 \cdot 0,4\]

\[x - 0,4 = 0,8\]

\[x = 0,8 + 0,4\]

\[x = 1,2\]

\[Ответ:1,2.\]

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

\[2 \cdot (2x - 1) = 3 \cdot 1\]

\[4x - 2 = 3\]

\[4x = 3 + 2\]

\[4x = 5\]

\[x = \frac{5}{4} = 1\frac{1}{4}\]

\[Ответ:1\frac{1}{4}.\]

\[4)\ \frac{3}{4} = \frac{x - 1}{3,2}\]

\[4 \cdot (x - 1) = 3 \cdot 3,2\]

\[4x - 4 = 9,6\]

\[4x = 9,6 + 4\]

\[4x = 13,6\]

\[x = 13,6\ :4\]

\[x = 3,4\]

\[Ответ:3,4.\]

\[5)\ 2,5x\ :14 = \frac{1}{7}\ :30\]

\[2,5x \cdot 30 = \frac{1}{7} \cdot 14\]

\[75x = 2\]

\[x = 2\ :75 = \frac{2}{75}\]

\[Ответ:\frac{2}{75}.\]

\[6)\ 36\ :35 = \frac{1}{5}x\ :\frac{1}{12}\]

\[36 \cdot \frac{1}{12} = \frac{1}{5}x \cdot 35\]

\[7x = 3\]

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

\[Ответ:\ \frac{3}{7}.\]