Найдите значение выражения:
а) $(\frac{5}{12} + \frac{3}{8}) * \frac{12}{19}$;
б) $\frac{6}{7} * (\frac{11}{18} - \frac{5}{12})$;
в) $(3\frac{1}{14} - 2\frac{5}{7}) * (7 - 6\frac{3}{5})$;
г) $(3\frac{1}{12} - 2\frac{3}{4}) * (1\frac{1}{6} - \frac{5}{12})$;
д) $(6\frac{7}{12} - 5\frac{11}{15}) * (1\frac{3}{17} - \frac{10}{17})$;
е) $\frac{2}{3} * \frac{9}{16} - \frac{5}{24} * \frac{2}{5} - \frac{1}{6}$.
$(\frac{5}{12} + \frac{3}{8}) * \frac{12}{19} = \frac{5}{12} * \frac{12}{19} + \frac{3}{8} * \frac{12}{19} = \frac{5}{1} * \frac{1}{19} + \frac{3}{2} * \frac{3}{19} = \frac{5}{19} + \frac{9}{38} = \frac{10}{38} + \frac{9}{38} = \frac{19}{38} = \frac{1}{2}$
$\frac{6}{7} * (\frac{11}{18} - \frac{5}{12}) = \frac{6}{7} * \frac{11}{18} - \frac{6}{7} * \frac{5}{12} = \frac{1}{7} * \frac{11}{3} - \frac{1}{7} * \frac{5}{2} = \frac{11}{21} - \frac{5}{14} = \frac{22}{42} - \frac{15}{42} = \frac{7}{42} = \frac{1}{6}$
$(3\frac{1}{14} - 2\frac{5}{7}) * (7 - 6\frac{3}{5}) = (2\frac{15}{14} - 2\frac{10}{14}) * (6\frac{5}{5} - 6\frac{3}{5}) = \frac{5}{14} * \frac{2}{5} = \frac{1}{7} * \frac{1}{1} = \frac{1}{7}$
$(3\frac{1}{12} - 2\frac{3}{4}) * (1\frac{1}{6} - \frac{5}{12}) = (2\frac{13}{12} - 2\frac{9}{12}) * (\frac{14}{12} - \frac{5}{12}) = \frac{4}{12} * \frac{9}{12} = \frac{1}{3} * \frac{3}{4} = \frac{1}{4}$
$(6\frac{7}{12} - 5\frac{11}{15}) * (1\frac{3}{17} - \frac{10}{17}) = (5\frac{95}{60} - 5\frac{44}{60}) * (\frac{20}{17} - \frac{10}{17}) = \frac{51}{60} * \frac{10}{17} = \frac{3}{6} * \frac{1}{1} = \frac{3}{6} = \frac{1}{2}$
$\frac{2}{3} * \frac{9}{16} - \frac{5}{24} * \frac{2}{5} - \frac{1}{6} = \frac{1}{1} * \frac{3}{8} - \frac{1}{12} * \frac{1}{1} - \frac{1}{6} = \frac{3}{8} - \frac{1}{12} - \frac{1}{6} = \frac{9}{24} - \frac{2}{24} - \frac{4}{24} = \frac{3}{24} = \frac{1}{8}$
Пожауйста, оцените решение
