Вычислите удобным способом:
а) $1\frac{1}{5} + \frac{5}{9} + \frac{4}{5} + \frac{4}{9}$;
б) $\frac{2}{11} + \frac{3}{8} + \frac{4}{11} + \frac{6}{11} + \frac{5}{8}$;
в) $\frac{7}{27} * 10 + 8 * \frac{7}{27}$;
г) $\frac{11}{36} * 17 - 5 * \frac{11}{36}$.
$1\frac{1}{5} + \frac{5}{9} + \frac{4}{5} + \frac{4}{9} = (1\frac{1}{5} + \frac{4}{5}) + (\frac{5}{9} + \frac{4}{9}) = 1\frac{5}{5} + \frac{9}{9} = 2 + 1 = 3$
$\frac{2}{11} + \frac{3}{8} + \frac{4}{11} + \frac{6}{11} + \frac{5}{8} = (\frac{2}{11} + \frac{4}{11} + \frac{6}{11}) + (\frac{3}{8} + \frac{5}{8}) = \frac{12}{11} + \frac{8}{8} = 1\frac{1}{11} + 1 = 2\frac{1}{11}$
$\frac{7}{27} * 10 + 8 * \frac{7}{27} = \frac{7}{27} * (10 + 8) = \frac{7}{27} * \frac{18}{1} = \frac{7}{27} * \frac{18}{1} = \frac{7 * 18}{27 * 1} = \frac{7 * 2}{3 * 1} = \frac{14}{3} = 4\frac{2}{3}$
$\frac{11}{36} * 17 - 5 * \frac{11}{36} = \frac{11}{36} * (17 - 5) = \frac{11}{36} * \frac{12}{1} = \frac{11 * 12}{36 * 1} = \frac{11 * 1}{3 * 1} = \frac{11}{3} = 3\frac{2}{3}$
Пожауйста, оцените решение
