Задание 5. Сократите дроби: а) 8/12, 12/16, 12/18, 24/40, 18/27, 20/70, 8/36, 30/75.

Числитель и знаменатель каждой дроби делим на их общий делитель.

1. \(\frac{8}{12}=\frac{8:4}{12:4}=\frac{2}{3}\).
2. \(\frac{12}{16}=\frac{12:4}{16:4}=\frac{3}{4}\).
3. \(\frac{12}{18}=\frac{12:6}{18:6}=\frac{2}{3}\).
4. \(\frac{24}{40}=\frac{24:8}{40:8}=\frac{3}{5}\).
5. \(\frac{18}{27}=\frac{18:9}{27:9}=\frac{2}{3}\).
6. \(\frac{20}{70}=\frac{20:10}{70:10}=\frac{2}{7}\).
7. \(\frac{8}{36}=\frac{8:4}{36:4}=\frac{2}{9}\).
8. \(\frac{30}{75}=\frac{30:15}{75:15}=\frac{2}{5}\).

Ответ: а) \(\frac{2}{3};\ \frac{3}{4};\ \frac{2}{3};\ \frac{3}{5};\ \frac{2}{3};\ \frac{2}{7};\ \frac{2}{9};\ \frac{2}{5}\).