Найдите значение выражения:
1) $5\frac{3}{4} * 8 - 2\frac{1}{3} * 1\frac{3}{14} - 1\frac{37}{48} * 2\frac{2}{15}$;
2) $1\frac{3}{22} * 2\frac{14}{15} - (1\frac{5}{8} + 2\frac{1}{8} * \frac{11}{17}) * \frac{3}{7}$;
3) $6\frac{2}{5} * 1\frac{9}{16} - (2\frac{1}{4})^2$;
4) $(2\frac{7}{10} - 1\frac{8}{15})^2 * \frac{9}{14}$.
$5\frac{3}{4} * 8 - 2\frac{1}{3} * 1\frac{3}{14} - 1\frac{37}{48} * 2\frac{2}{15} = \frac{23}{4} * 8 - \frac{7}{3} * \frac{17}{14} - \frac{85}{48} * \frac{32}{15} = \frac{23}{1} * 2 - \frac{1}{3} * \frac{17}{2} - \frac{17}{3} * \frac{2}{3} = 46 - \frac{17}{6} - \frac{34}{9} = 46 - 2\frac{5}{6} - 3\frac{7}{9} = 44\frac{36}{18} - 2\frac{15}{18} - 3\frac{14}{18} = 39\frac{7}{18}$
$1\frac{3}{22} * 2\frac{14}{15} - (1\frac{5}{8} + 2\frac{1}{8} * \frac{11}{17}) * \frac{3}{7} = \frac{25}{22} * \frac{44}{15} - (1\frac{5}{8} + \frac{17}{8} * \frac{11}{17}) * \frac{3}{7} = \frac{5}{1} * \frac{2}{3} - (1\frac{5}{8} + \frac{11}{8}) * \frac{3}{7} = \frac{10}{3} - (1\frac{5}{8} + 1\frac{3}{8}) * \frac{3}{7} = 3\frac{1}{3} - 3 * \frac{3}{7} = 3\frac{1}{3} - \frac{9}{7} = 3\frac{1}{3} - 1\frac{2}{7} = 3\frac{7}{21} - 1\frac{6}{21} = 2\frac{1}{21}$
$6\frac{2}{5} * 1\frac{9}{16} - (2\frac{1}{4})^2 = \frac{32}{5} * \frac{25}{16} - (\frac{9}{4} * \frac{9}{4}) = \frac{2}{1} * \frac{5}{1} - \frac{81}{16} = 10 - 5\frac{1}{16} = 4\frac{15}{16}$
$(2\frac{7}{10} - 1\frac{8}{15})^2 * \frac{9}{14} = (2\frac{21}{30} - 1\frac{16}{30})^2 * \frac{9}{14} = (1\frac{1}{6})^2 * \frac{9}{14} = (\frac{7}{6} * \frac{7}{6}) * \frac{9}{14} = \frac{49}{36} * \frac{9}{14} = \frac{7}{4} * \frac{1}{2} = \frac{7}{8}$
Пожаулйста, оцените решение
