Найдите значение выражения:
1)

4 \frac{2}{3} * 6 - 1 \frac{23}{42} * 3 \frac{1}{13} + 2 \frac{1}{8} * 1 \frac{29}{51}

;
2)

(5 \frac{3}{10} - 3 \frac{4}{5} * \frac{13}{38}) * \frac{5}{84} + 2 \frac{1}{12} * \frac{4}{15}

;
3)

(3 \frac{1}{3})^{2} - 2 \frac{13}{16} * 2 \frac{2}{5}

;
4)

(\frac{5}{12} + \frac{13}{20})^{2} * 1 \frac{13}{32}

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Математика 6 класс Мерзляк. Номер №352

4 \frac{2}{3} * 6 - 1 \frac{23}{42} * 3 \frac{1}{13} + 2 \frac{1}{8} * 1 \frac{29}{51} = \frac{14}{3} * 6 - \frac{65}{42} * \frac{40}{13} + \frac{17}{8} * \frac{80}{51} = 28 - \frac{5}{21} * \frac{20}{1} + \frac{1}{1} * \frac{10}{3} = 28 - 4 \frac{16}{21} + 3 \frac{1}{3} = 27 \frac{21}{21} - 4 \frac{16}{21} + 3 \frac{7}{21} = 26 \frac{4}{7}

(5 \frac{3}{10} - 3 \frac{4}{5} * \frac{13}{38}) * \frac{5}{84} + 2 \frac{1}{12} * \frac{4}{15} = (5 \frac{3}{10} - \frac{19}{5} * \frac{13}{38}) * \frac{5}{84} + \frac{25}{12} * \frac{4}{15} = (5 \frac{3}{10} - \frac{1}{5} * \frac{13}{2}) * \frac{5}{84} + \frac{5}{3} * \frac{1}{3} = (5 \frac{3}{10} - 1 \frac{3}{10}) * \frac{5}{84} + \frac{5}{9} = 4 * \frac{5}{84} + \frac{5}{9} = \frac{5}{21} + \frac{5}{9} = \frac{15}{63} + \frac{35}{63} = \frac{50}{63}

(3 \frac{1}{3})^{2} - 2 \frac{13}{16} * 2 \frac{2}{5} = \frac{10}{3} * \frac{10}{3} - \frac{45}{16} * \frac{12}{5} = \frac{100}{9} - \frac{9}{4} * \frac{3}{1} = 11 \frac{1}{9} - \frac{27}{4} = 11 \frac{4}{36} - 6 \frac{27}{36} = 10 \frac{40}{36} - 6 \frac{27}{36} = 4 \frac{13}{36}

(\frac{5}{12} + \frac{13}{20})^{2} * 1 \frac{13}{32} = (\frac{25}{60} + \frac{39}{60})^{2} * \frac{45}{32} = \frac{16}{15} * \frac{16}{15} * \frac{45}{32} = \frac{1}{5} * \frac{8}{1} * \frac{1}{1} = \frac{8}{5} = 1 \frac{3}{5}

ГДЗ Математика 6 класс Мерзляк, Полонский, Якир