Найдите значение выражения:
1) $12 : 3\frac{3}{8} - 1\frac{1}{4} : \frac{15}{32}$;
2) $1\frac{31}{35} : (2 - \frac{8}{9} : 1\frac{19}{45})$;
3) $(1\frac{1}{35} : \frac{4}{5} - 1\frac{8}{35}) * 3\frac{1}{3}$;
4) $(7 - 1\frac{5}{9} : \frac{7}{24}) : \frac{20}{27}$.
$12 : 3\frac{3}{8} - 1\frac{1}{4} : \frac{15}{32} = 12 * \frac{8}{27} - \frac{5}{4} * \frac{32}{15} = 4 * \frac{8}{9} - \frac{1}{1} * \frac{8}{3} = \frac{32}{9} - \frac{24}{9} = \frac{8}{9}$
$1\frac{31}{35} : (2 - \frac{8}{9} : 1\frac{19}{45}) = \frac{66}{35} : (2 - \frac{8}{9} * \frac{45}{64}) = \frac{66}{35} : (2 - \frac{1}{1} * \frac{5}{8}) = \frac{66}{35} : (2 - \frac{5}{8}) = \frac{66}{35} : 1\frac{3}{8} = \frac{66}{35} * \frac{8}{11} = \frac{6}{35} * \frac{8}{1} = \frac{48}{35} = 1\frac{13}{35}$
$(1\frac{1}{35} : \frac{4}{5} - 1\frac{8}{35}) * 3\frac{1}{3} = (\frac{36}{35} * \frac{5}{4} - 1\frac{8}{35}) * \frac{10}{3} = (\frac{9}{7} * \frac{1}{1} - 1\frac{8}{35}) * \frac{10}{3} = (1\frac{10}{35} - 1\frac{8}{35}) * \frac{10}{3} = \frac{2}{35} * \frac{10}{3} = \frac{2}{7} * \frac{2}{3} = \frac{4}{21}$
$(7 - 1\frac{5}{9} : \frac{7}{24}) : \frac{20}{27} = (7 - \frac{14}{9} * \frac{24}{7}) * \frac{27}{20} = (7 - \frac{2}{3} * \frac{8}{1}) * \frac{27}{20} = (7 - 5\frac{1}{3}) * \frac{27}{20} = \frac{5}{3} * \frac{27}{20} = \frac{1}{1} * \frac{9}{4} = 2\frac{1}{4}$
Пожауйста, оцените решение
