Сократите дроби: a) \(\frac{14}{21}\) = б) \(\frac{55}{77}\) = \(\frac{12}{30}\) = \(\frac{81}{270}\) = \(\frac{24}{60}\) = \(\frac{75}{450}\) = \(\frac{35}{105}\) = \(\frac{135}{180}\) =

Решение:

a) \(\frac{14}{21} = \frac{14:7}{21:7} = \frac{2}{3}\)
\(\frac{12}{30} = \frac{12:6}{30:6} = \frac{2}{5}\)
\(\frac{24}{60} = \frac{24:12}{60:12} = \frac{2}{5}\)
\(\frac{35}{105} = \frac{35:35}{105:35} = \frac{1}{3}\)

б) \(\frac{55}{77} = \frac{55:11}{77:11} = \frac{5}{7}\)
\(\frac{81}{270} = \frac{81:27}{270:27} = \frac{3}{10}\)
\(\frac{75}{450} = \frac{75:75}{450:75} = \frac{1}{6}\)
\(\frac{135}{180} = \frac{135:45}{180:45} = \frac{3}{4}\)