\[\boxed{\text{Проверьте\ себя}\text{.\ Страница\ 61}}\]
\[\boxed{\text{Проверочная\ работа}\text{.\ Сокращение\ дробей}}\]
\[\boxed{\text{1.}}\]
\[\frac{2}{6} = \frac{1}{3};\]
\[\frac{4}{8} = \frac{1}{2};\]
\[\frac{3}{9} = \frac{1}{3};\]
\[\frac{10}{12} = \frac{5}{6};\]
\[\frac{12}{24} = \frac{1}{2};\]
\[\frac{24}{42} = \frac{4}{7};\]
\[\frac{36}{42} = \frac{6}{7};\]
\[\frac{180}{270} = \frac{18}{27} = \frac{2}{3};\]
\[\frac{100}{500} = \frac{1}{5}.\]
\[\boxed{\text{2.}}\]
\[\textbf{а)}\ \frac{x}{15} = \frac{1}{5}\]
\[\frac{3}{15} = \frac{1}{5}\]
\[x = 3.\]
\[\textbf{б)}\ \frac{10}{12} = \frac{5}{x}\]
\[\frac{10}{12} = \frac{5}{6}\]
\[x = 6.\]
\[\textbf{в)}\ \frac{8}{x} = \frac{2}{4}\]
\[\frac{2}{4} = \frac{8}{16}\]
\[x = 16.\]
\[\textbf{г)}\ \frac{18}{27} = \frac{x}{3}\]
\[\frac{18}{27} = \frac{2}{3}\]
\[x = 3.\]
\[\boxed{\text{3.}}\]
\[1\ ч = 60\ мин.\]
\[\frac{3}{60} = \frac{1}{20};\]
\[\frac{5}{60} = \frac{1}{12};\]
\[\frac{15}{60} = \frac{1}{4};\]
\[\frac{20}{60} = \frac{1}{3};\ \]
\[\frac{25}{60} = \frac{5}{12}.\]
\[\boxed{\text{4.}}\]
\[\textbf{а)}\ \frac{30}{80};\]
\[\textbf{б)}\ \frac{63}{99}\text{.\ }\]
Глава 35. Приведение дробей к общему знаменателю