3. Сравните обыкновенные дроби: - 4 1 1) 12 5 - O 2) 11 14 14 - 21 O 7 - 3) 15 4 - 10 O 5 4) 18 - 12 O 6

1) \(\frac{4}{12}\) и \(\frac{1}{5}\)

\(\frac{4}{12} = \frac{1}{3}\). Сравним \(\frac{1}{3}\) и \(\frac{1}{5}\). Общий знаменатель 15.

\(\frac{1}{3} = \frac{5}{15}\), \(\frac{1}{5} = \frac{3}{15}\).

\(\frac{5}{15} > \frac{3}{15}\), значит \(\frac{4}{12} > \frac{1}{5}\).

\(\frac{4}{12} \text{ }\boxed{>}\text{ } \frac{1}{5}\)

2) \(\frac{11}{14}\) и \(\frac{14}{21}\)

\(\frac{14}{21} = \frac{2}{3}\). Сравним \(\frac{11}{14}\) и \(\frac{2}{3}\). Общий знаменатель 42.

\(\frac{11}{14} = \frac{33}{42}\), \(\frac{2}{3} = \frac{28}{42}\).

\(\frac{33}{42} > \frac{28}{42}\), значит \(\frac{11}{14} > \frac{14}{21}\).

\(\frac{11}{14} \text{ }\boxed{>}\text{ } \frac{14}{21}\)

3) \(\frac{7}{15}\) и \(\frac{4}{10}\)

\(\frac{4}{10} = \frac{2}{5}\). Сравним \(\frac{7}{15}\) и \(\frac{2}{5}\). Общий знаменатель 15.

\(\frac{2}{5} = \frac{6}{15}\).

\(\frac{7}{15} > \frac{6}{15}\), значит \(\frac{7}{15} > \frac{4}{10}\).

\(\frac{7}{15} \text{ }\boxed{>}\text{ } \frac{4}{10}\)

4) \(\frac{5}{18}\) и \(\frac{9}{12}\)

\(\frac{9}{12} = \frac{3}{4}\). Сравним \(\frac{5}{18}\) и \(\frac{3}{4}\). Общий знаменатель 36.

\(\frac{5}{18} = \frac{10}{36}\), \(\frac{3}{4} = \frac{27}{36}\).

\(\frac{10}{36} < \frac{27}{36}\), значит \(\frac{5}{18} < \frac{9}{12}\).

\(\frac{5}{18} \text{ }\boxed{<}\text{ } \frac{9}{12}\)