\[\boxed{\mathbf{1.\ }}\]
\[1)\ \frac{6}{24} = \frac{1}{4}\ часть\ пути.\]
\[2)\ \frac{12}{24} = \frac{1}{2}\ часть\ пути.\]
\[3)\ \frac{9}{24} = \frac{3}{8}\ часть\ пути.\]
\[4)\ \frac{16}{24} = \frac{2}{3}\ часть\ пути.\]
\[\boxed{\mathbf{2.\ }}\]
\[\frac{16}{20} = \frac{4}{5};\]
\[\frac{12}{18} = \frac{2}{3};\ \]
\[\frac{10}{15} = \frac{2}{3};\ \]
\[\frac{9}{15} = \frac{3}{5};\]
\[\frac{25}{15} = \frac{5}{3}.\]
\[\boxed{\mathbf{3.\ }}\]
\[\frac{4}{28};\ \frac{5}{35};\ \frac{9}{63}.\]
\[\boxed{\mathbf{4.\ }}\]
\[Неверные\ равенства:\]
\[2)\ \frac{15}{55} = \frac{3}{11};\]
\[3)\ \frac{7}{8} = \frac{56}{64}\ или\ \frac{7}{8} = \frac{63}{72}.\]