Найдите значение выражения:
а)

\frac{1}{4} * 4 \frac{3}{4} * \frac{16}{57} + (4 \frac{3}{4} + 1 \frac{2}{3}) * \frac{16}{21} + \frac{2}{27} * 4 \frac{1}{2}

;
б)

(\frac{4}{5} + \frac{1}{6}) * (23 \frac{2}{3} - 15 \frac{5}{9}) * \frac{45}{58} - \frac{1}{2}

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Математика 6 класс Виленкин. Номер №514

\frac{1}{4} * 4 \frac{3}{4} * \frac{16}{57} + (4 \frac{3}{4} + 1 \frac{2}{3}) * \frac{16}{21} + \frac{2}{27} * 4 \frac{1}{2} = \frac{1}{4} * \frac{19}{4} * \frac{16}{57} + (4 \frac{9}{12} + 1 \frac{8}{12}) * \frac{16}{21} + \frac{2}{27} * \frac{9}{2} = \frac{1}{1} * \frac{1}{1} * \frac{1}{3} + 6 \frac{5}{12} * \frac{16}{21} + \frac{1}{3} * \frac{1}{1} = \frac{1}{3} + \frac{77}{12} * \frac{16}{21} + \frac{1}{3} = \frac{1}{3} + \frac{11}{3} * \frac{4}{3} + \frac{1}{3} = \frac{1}{3} + \frac{44}{9} + \frac{1}{3} = \frac{3}{9} + \frac{44}{9} + \frac{3}{9} = \frac{50}{9} = 5 \frac{5}{9}

(\frac{4}{5} + \frac{1}{6}) * (23 \frac{2}{3} - 15 \frac{5}{9}) * \frac{45}{58} - \frac{1}{2} = (\frac{24}{30} + \frac{5}{30}) * (23 \frac{6}{9} - 15 \frac{5}{9}) * \frac{45}{58} - \frac{1}{2} = \frac{29}{30} * 8 \frac{1}{9} * \frac{45}{58} - \frac{1}{2} = \frac{29}{30} * \frac{73}{9} * \frac{45}{58} - \frac{1}{2} = \frac{1}{6} * \frac{73}{1} * \frac{1}{2} - \frac{1}{2} = \frac{73}{12} - \frac{1}{2} = \frac{73}{12} - \frac{6}{12} = \frac{67}{12} = 5 \frac{7}{12}

ГДЗ Математика 6 класс Виленкин, Жохов, Чесноков