Выполни действия с дробями: сократи, приведи к общему знаменателю и сравни дроби

1. Сократи дроби: 1) $\frac{2}{4} = \frac{1}{2}$, $\frac{4}{8} = \frac{1}{2}$, $\frac{6}{8} = \frac{3}{4}$, $\frac{10}{12} = \frac{5}{6}$, $\frac{12}{18} = \frac{2}{3}$, $\frac{14}{8} = \frac{7}{4}$ 2) $\frac{3}{6} = \frac{1}{2}$, $\frac{6}{9} = \frac{2}{3}$, $\frac{6}{15} = \frac{2}{5}$, $\frac{12}{15} = \frac{4}{5}$, $\frac{12}{18} = \frac{2}{3}$, $\frac{15}{20} = \frac{3}{4}$ 3) $\frac{5}{25} = \frac{1}{5}$, $\frac{10}{100} = \frac{1}{10}$, $\frac{25}{30} = \frac{5}{6}$, $\frac{10}{200} = \frac{1}{20}$, $\frac{15}{45} = \frac{1}{3}$, $\frac{25}{35} = \frac{5}{7}$ 4) $\frac{5}{25} = \frac{1}{5}$, $\frac{10}{100} = \frac{1}{10}$, $\frac{25}{30} = \frac{5}{6}$, $\frac{10}{200} = \frac{1}{20}$, $\frac{15}{45} = \frac{1}{3}$, $\frac{25}{35} = \frac{5}{7}$ 2. Приведи дроби к знаменателю 12: 1) $\frac{1}{2} = \frac{1 * 6}{2 * 6} = \frac{6}{12}$ 2) $\frac{2}{3} = \frac{2 * 4}{3 * 4} = \frac{8}{12}$ 3) $\frac{3}{4} = \frac{3 * 3}{4 * 3} = \frac{9}{12}$ 4) $\frac{1}{6} = \frac{1 * 2}{6 * 2} = \frac{2}{12}$ 5) $\frac{1}{2} = \frac{1 * 6}{2 * 6} = \frac{6}{12}$ 6) $\frac{2}{24} = \frac{2 / 2}{24 / 2} = \frac{1}{12}$ 7) $\frac{12}{48} = \frac{12 / 4}{48 / 4} = \frac{3}{12}$ 8) $\frac{5}{60} = \frac{5 / 5}{60 / 5} = \frac{1}{12}$ 3. Сравни дроби: 1) $\frac{7}{18}$ и $\frac{5}{12}$. $\frac{7}{18} = \frac{7 * 2}{18 * 2} = \frac{14}{36}$, $\frac{5}{12} = \frac{5 * 3}{12 * 3} = \frac{15}{36}$. $\frac{14}{36} < \frac{15}{36}$, значит, $\frac{7}{18} < \frac{5}{12}$ 2) $\frac{8}{15}$ и $\frac{7}{12}$. $\frac{8}{15} = \frac{8 * 4}{15 * 4} = \frac{32}{60}$, $\frac{7}{12} = \frac{7 * 5}{12 * 5} = \frac{35}{60}$. $\frac{32}{60} < \frac{35}{60}$, значит, $\frac{8}{15} < \frac{7}{12}$ 3) $\frac{11}{12}$ и $\frac{13}{16}$. $\frac{11}{12} = \frac{11 * 4}{12 * 4} = \frac{44}{48}$, $\frac{13}{16} = \frac{13 * 3}{16 * 3} = \frac{39}{48}$. $\frac{44}{48} > \frac{39}{48}$, значит, $\frac{11}{12} > \frac{13}{16}$ 4) $\frac{5}{14}$ и $\frac{8}{21}$. $\frac{5}{14} = \frac{5 * 3}{14 * 3} = \frac{15}{42}$, $\frac{8}{21} = \frac{8 * 2}{21 * 2} = \frac{16}{42}$. $\frac{15}{42} < \frac{16}{42}$, значит, $\frac{5}{14} < \frac{8}{21}$