Найдите значение выражения:
а) $4\frac{11}{18} * \frac{6}{7} - 1\frac{4}{9}$;
б) $(1\frac{1}{2})^3 - 2\frac{1}{4} * 1\frac{1}{3}$;
в) $((1\frac{1}{4})^2 - \frac{5}{8}) * 10\frac{2}{3} - 7\frac{1}{3}$;
г) $(1\frac{4}{9} + 2\frac{5}{6} - 2\frac{3}{4}) * (2\frac{1}{2} - \frac{11}{14})$.
$4\frac{11}{18} * \frac{6}{7} - 1\frac{4}{9} = \frac{83}{18} * \frac{6}{7} - 1\frac{4}{9} = \frac{83}{3} * \frac{1}{7} - 1\frac{4}{9} = \frac{83}{21} - 1\frac{4}{9} = 3\frac{20}{21} - 1\frac{4}{9} = 3\frac{60}{63} - 1\frac{28}{63} = 2\frac{32}{63}$
$(1\frac{1}{2})^3 - 2\frac{1}{4} * 1\frac{1}{3} = (\frac{3}{2})^3 - \frac{9}{4} * \frac{4}{3} = \frac{3}{2} * \frac{3}{2} * \frac{3}{2} - \frac{3}{1} * \frac{1}{1} = \frac{27}{8} - 3 = 3\frac{3}{8} - 3 = \frac{3}{8}$
$((1\frac{1}{4})^2 - \frac{5}{8}) * 10\frac{2}{3} - 7\frac{1}{3} = ((\frac{5}{4})^2 - \frac{5}{8}) * \frac{32}{3} - 7\frac{1}{3} = (\frac{5}{4} * \frac{5}{4} - \frac{5}{8}) * \frac{32}{3} - 7\frac{1}{3} = (\frac{25}{16} - \frac{10}{16}) * \frac{32}{3} - 7\frac{1}{3} = \frac{15}{16} * \frac{32}{3} - 7\frac{1}{3} = \frac{5}{1} * \frac{2}{1} - 7\frac{1}{3} = 10 - 7\frac{1}{3} = 9\frac{3}{3} - 7\frac{1}{3} = 2\frac{2}{3}$
$(1\frac{4}{9} + 2\frac{5}{6} - 2\frac{3}{4}) * (2\frac{1}{2} - \frac{11}{14}) = (1\frac{16}{36} + 2\frac{30}{36} - 2\frac{27}{36}) * (1\frac{21}{14} - \frac{11}{14}) = 1\frac{19}{36} * 1\frac{10}{14} = \frac{55}{36} * \frac{24}{14} = \frac{55}{3} * \frac{1}{7} = \frac{55}{21} = 2\frac{13}{21}$
Пожауйста, оцените решение
