\[\boxed{\mathbf{Решаем}\mathbf{\ }\mathbf{устно}\mathbf{\ }\mathbf{параграф}\mathbf{\ }\mathbf{8}\mathbf{.}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[\boxed{\mathbf{1.}}\]
\[1)\ \frac{2 \cdot 3}{7 \cdot 3} = \frac{6}{21}\]
\[2)\ \frac{30\ :6}{36\ :6} = \frac{5}{6}\ \]
\[\boxed{\mathbf{2.}}\]
\[1)\frac{1}{4} = \frac{3}{12}\]
\[2)\frac{1}{3} = \frac{4}{12}\]
\[3)\frac{3}{4} = \frac{9}{12}\]
\[4)\frac{5}{6} = \frac{10}{12}\]
\[5)\frac{3}{2} = \frac{18}{12}\]
\[\boxed{\mathbf{3.}}\]
\[1)\frac{1}{10} = \frac{10}{100}\]
\[2)\frac{3}{20} = \frac{15}{100}\]
\[3)\frac{7}{25} = \frac{28}{100}\]
\[4)\frac{23}{50} = \frac{46}{100}\]
\[5)\frac{124}{200} = \frac{62}{100}\]
\(\boxed{\mathbf{4.}}\)
\[1)\ 1\ месяц = \frac{1}{12}\ года\]
\[2)\ 2\ месяца = \frac{2}{12} = \frac{1}{6}\ года\]
\[3)\ 6\ месяцев = \frac{6}{12} = \frac{1}{2}\ года\]
\[\boxed{\mathbf{5.}}\]
\[\]
\[1)\frac{1}{2}\ кг = \frac{1}{2} \cdot 1000 = 500\ г\]
\[2)\frac{1}{4}\ кг = \frac{1}{4} \cdot 1000 = 250\ г\]
\[3)\frac{1}{8}\ кг = \frac{1}{8} \cdot 10000 = 125\ г\]
\[4)\frac{2}{5}\ кг = \frac{2}{5} \cdot 1000 = 400\ г\]
\[\boxed{\mathbf{6.}}\]
\[\frac{4563}{10^{3} - 1} \Longrightarrow 4563 - делится\ \]
\[на\ 9;\ \ \]
\[\ \left( 10^{3} - 1 \right) - делится\ на\ \]
\[9 \Longrightarrow сократимой.\]
\[Ответ:сократима.\]