Вычислите:
а) $(\frac{1}{3} + 0,5) * 2\frac{2}{5} - (\frac{1}{2} - 0,3) * 3,5$;
б) $7 : (1\frac{1}{5} - 2,2) + \frac{1}{10} : (2,8 - \frac{3}{8})$;
в) $(1 - \frac{7}{15} + 0,4) : (8,3 + \frac{4}{19} - \frac{15}{38})$;
г) $(4,25 * \frac{16}{51} - \frac{17}{18} : 8,5) * (\frac{3}{11})^2$.
$(\frac{1}{3} + 0,5) * 2\frac{2}{5} - (\frac{1}{2} - 0,3) * 3,5 = (\frac{1}{3} + \frac{1}{2}) * \frac{12}{5} - (\frac{1}{2} - \frac{3}{10}) * \frac{7}{2} = (\frac{2}{6} + \frac{3}{6}) * \frac{12}{5} - (\frac{5}{10} - \frac{3}{10}) * \frac{7}{2} = \frac{5}{6} * \frac{12}{5} - \frac{1}{5} * \frac{7}{2} = \frac{1}{1} * \frac{2}{1} - \frac{1}{5} * \frac{7}{2} = 2 - \frac{7}{10} = 1\frac{3}{10}$
$7 : (1\frac{1}{5} - 2,2) + \frac{1}{10} : (2,8 - \frac{3}{8}) = 7 : (1\frac{1}{5} - 2\frac{1}{5}) + \frac{1}{10} : (2\frac{4}{5} - \frac{3}{8}) = 7 : (-1) + \frac{1}{10} : (2\frac{32}{40} - \frac{15}{40}) = -7 + \frac{1}{10} : 2\frac{17}{40} = -7 + \frac{1}{10} : \frac{97}{40} = -7 + \frac{1}{10} * \frac{40}{97} = -7 + \frac{4}{97} = -6\frac{93}{97}$
$(1 - \frac{7}{15} + 0,4) : (8,3 + \frac{4}{19} - \frac{15}{38}) = (1 - \frac{7}{15} + \frac{2}{5}) : (8\frac{3}{10} + \frac{4}{19} - \frac{15}{38}) = (\frac{8}{15} + \frac{6}{15}) : (8\frac{114}{380} + \frac{80}{380} - \frac{150}{380}) = \frac{14}{15} : (8\frac{194}{380} - \frac{150}{380}) = \frac{14}{15} : 8\frac{44}{380} = \frac{14}{15} : 8\frac{11}{95} = \frac{14}{15} * \frac{95}{771} = \frac{14}{3} * \frac{19}{771} = \frac{266}{2313}$
$(4,25 * \frac{16}{51} - \frac{17}{18} : 8,5) * (\frac{3}{11})^2 = (4\frac{1}{4} * \frac{16}{51} - \frac{17}{18} : 8\frac{1}{2}) * \frac{9}{121} = (\frac{17}{4} * \frac{16}{51} - \frac{17}{18} : \frac{17}{2}) * \frac{9}{121} = (\frac{1}{1} * \frac{4}{3} - \frac{17}{18} * \frac{2}{17}) * \frac{9}{121} = (\frac{4}{3} - \frac{1}{9} * \frac{1}{1}) * \frac{9}{121} = (\frac{12}{9} - \frac{1}{9}) * \frac{9}{121} = \frac{11}{9} * \frac{9}{121} = \frac{1}{1} * \frac{1}{11} = \frac{1}{11}$
Пожауйста, оцените решение
