\[\boxed{\mathbf{861\ (861)}\mathbf{.}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[\textbf{а)}\ \frac{1}{3} \cdot x = \frac{1}{6}\]
\[x = \frac{1}{6}\ :\frac{1}{3} = \frac{1 \cdot 3}{6 \cdot 1}\]
\[x = \frac{1}{2}.\]
\[\textbf{б)}\ 3 \cdot x = \frac{1}{3}\]
\[x = \frac{1}{3}\ :3 = \frac{1 \cdot 1}{3 \cdot 3}\]
\[x = \frac{1}{9}.\]
\[\textbf{в)}\ x \cdot 6 = \frac{1}{5}\]
\[x = \frac{1}{5}\ :6 = \frac{1 \cdot 1}{5 \cdot 6}\]
\[x = \frac{1}{30}.\]
\[г\ )\frac{2}{5} \cdot x = 1\frac{1}{5}\]
\[x = 1\frac{1}{5}\ :\frac{2}{5} = \frac{6}{5}\ :\frac{2}{5} = \frac{6 \cdot 5}{5 \cdot 2} = \frac{3}{1}\]
\[x = 3.\]
\[\textbf{д)}\ x \cdot 6 = 4\]
\[x = 4\ :6 = \frac{4}{6} = \frac{2}{3}\]
\[x = \frac{2}{3}.\]
\[\textbf{е)}\ \ 8 \cdot x = 2\]
\[x = 2\ :8 = \frac{2}{8} = \frac{1}{4}\]
\[x = \frac{1}{4}.\]