\[\boxed{\mathbf{1.\ }}\]
\[1)\ \frac{2}{7} = \frac{2 \cdot 3}{7 \cdot 3} = \frac{6}{21};\]
\[2)\ \frac{30}{36} = \frac{30\ :6}{36\ :6} = \frac{5}{6}.\]
\[\boxed{\mathbf{2.\ }}\]
\[1)\ \frac{1}{4} = \frac{3}{12}\]
\[2)\ \frac{1}{3} = \frac{4}{12}\]
\[3)\ \frac{3}{4} = \frac{9}{12}\]
\[4)\ \frac{5}{6} = \frac{10}{12}\]
\[5)\ \frac{3}{2} = \frac{18}{12}\]
\[\boxed{\mathbf{3.\ }}\]
\[1)\ \frac{1}{10} = \frac{10}{100}\]
\[2)\ \frac{3}{20} = \frac{15}{100}\]
\[3)\ \frac{7}{25} = \frac{28}{100}\]
\[4)\ \frac{23}{50} = \frac{46}{100}\]
\[5)\ \frac{124}{200} = \frac{62}{100}\]
\[\boxed{\mathbf{4.\ }}\]
\[1)\ 1\ мес. = \frac{1}{12}\ года\]
\[2)\ 2\ мес. = \frac{2}{12} = \frac{1}{6}\ года\]
\[3)\ \ 6\ мес. = \frac{6}{12} = \frac{1}{2}\ года\]
\[\boxed{\mathbf{5.\ }}\]
\[1)\ \frac{1}{2}\ кг = 1000\ :2 = 500\ г\]
\[2)\ \frac{1}{4}\ кг = 1000\ :4 = 250\ г\]
\[3)\ \frac{1}{8}\ кг = 1000\ :8 = 125\ г\]
\[4)\ \frac{1}{5}\ кг = 1000\ :5 = 200\ г\]