Найдите значение выражения:
1)

15 \frac{4}{9} - 4 \frac{4}{9} * 3 \frac{3}{8}

;
2)

\frac{81}{88} * (6 - 1 \frac{13}{15} * 1 \frac{19}{21})

;
3)

(5 \frac{1}{16} - 1 \frac{1}{8}) * (\frac{5}{6} + \frac{3}{14})

;
4)

5 \frac{1}{16} - 1 \frac{1}{8} * (\frac{5}{6} + \frac{3}{14})

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Математика 6 класс Мерзляк. Номер №342

15 \frac{4}{9} - 4 \frac{4}{9} * 3 \frac{3}{8} = 15 \frac{4}{9} - \frac{40}{9} * \frac{27}{8} = 15 \frac{4}{9} - \frac{5}{1} * \frac{3}{1} = 15 \frac{4}{9} - 15 = \frac{4}{9}

\frac{81}{88} * (6 - 1 \frac{13}{15} * 1 \frac{19}{21}) = \frac{81}{88} * (6 - \frac{28}{15} * \frac{40}{21}) = \frac{81}{88} * (6 - 1 \frac{13}{15} * 1 \frac{19}{21}) = \frac{81}{88} * (6 - \frac{4}{3} * \frac{8}{3}) = \frac{81}{88} * (5 \frac{9}{9} - 3 \frac{5}{9}) = \frac{81}{88} * \frac{22}{9} = \frac{9}{4} * \frac{1}{1} = 2 \frac{1}{4}

(5 \frac{1}{16} - 1 \frac{1}{8}) * (\frac{5}{6} + \frac{3}{14}) = (4 \frac{17}{16} - 1 \frac{2}{16}) * (\frac{35}{42} + \frac{9}{42}) = 3 \frac{15}{16} * \frac{44}{42} = \frac{63}{16} * \frac{22}{21} = \frac{3}{8} * \frac{11}{1} = \frac{33}{8} = 4 \frac{1}{8}

5 \frac{1}{16} - 1 \frac{1}{8} * (\frac{5}{6} + \frac{3}{14}) = 5 \frac{1}{16} - \frac{9}{8} * (\frac{35}{42} + \frac{9}{42}) = 5 \frac{1}{16} - \frac{9}{8} * \frac{22}{21} = 5 \frac{1}{16} - \frac{3}{4} * \frac{11}{7} = 5 \frac{1}{16} - \frac{33}{28} = 5 \frac{1}{16} - 1 \frac{5}{28} = 4 \frac{1}{16} - \frac{5}{28} = 4 \frac{7}{112} - \frac{20}{112} = 3 \frac{119}{112} - \frac{20}{112} = 3 \frac{99}{112}

ГДЗ Математика 6 класс Мерзляк, Полонский, Якир