Задание 3: Сократи дроби: a) \(\frac{14}{18}\) b) \(\frac{36}{48}\) c) \(\frac{25}{75}\) d) \(\frac{16}{20}\) e) \(\frac{23 \cdot 4}{16 \cdot 46}\) f) \(\frac{12 \cdot 5}{10 \cdot 6}\) g) \(\frac{7 \cdot 20 \cdot 13}{26 \cdot 4 \cdot 14}\)

Решение: a) \(\frac{14}{18} = \frac{7 \cdot 2}{9 \cdot 2} = \frac{7}{9}\) b) \(\frac{36}{48} = \frac{12 \cdot 3}{12 \cdot 4} = \frac{3}{4}\) c) \(\frac{25}{75} = \frac{25 \cdot 1}{25 \cdot 3} = \frac{1}{3}\) d) \(\frac{16}{20} = \frac{4 \cdot 4}{4 \cdot 5} = \frac{4}{5}\) e) \(\frac{23 \cdot 4}{16 \cdot 46} = \frac{23 \cdot 4}{4 \cdot 4 \cdot 23 \cdot 2} = \frac{1}{4 \cdot 2} = \frac{1}{8}\) f) \(\frac{12 \cdot 5}{10 \cdot 6} = \frac{6 \cdot 2 \cdot 5}{5 \cdot 2 \cdot 6} = \frac{1}{1} = 1\) g) \(\frac{7 \cdot 20 \cdot 13}{26 \cdot 4 \cdot 14} = \frac{7 \cdot 4 \cdot 5 \cdot 13}{13 \cdot 2 \cdot 4 \cdot 7 \cdot 2} = \frac{5}{2 \cdot 2} = \frac{5}{4}\)