Question

-1 1/7*(4/5+ 19/20) * (6 5/6 + 4 2/3)=?
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Answer 1

Ответ:

Будет -23

Пошаговое объяснение:

$- 1 \frac{1}{7} \times ( \frac{4}{5} + \frac{19}{20} ) \times (6 \frac{5}{6} + 4 \frac{2}{3} ) = \\ \\ = - \frac{1 \times 7 + 1}{7} \times ( \frac{4 \times 4}{5 \times 4} + \frac{19}{20} ) \times (6 \frac{5}{6} + 4 \frac{2}{3} ) = \\ \\ = - \frac{8}{7} \times \frac{16 + 19}{20} \times (6 \frac{5}{6} + 4 \frac{2}{3} ) = \\ \\ = - \frac{8}{7} \times \frac{35}{20} \times ((6 + 4) + ( \frac{5}{6} + \frac{2}{3} )) = \\ \\ = - \frac{8}{7} \times \frac{7}{4} \times (10 + ( \frac{5}{6} + \frac{2 \times 2}{3 \times 2} )) = \\ \\ = - \frac{8}{1} \times \frac{1}{4} \times (10 + ( \frac{5 + 4}{6} )) = \\ \\ = - \frac{8}{4} \times (10 + \frac{9}{6} ) = \\ \\ = - \frac{8}{4} \times ( \frac{10}{1} + \frac{3}{2} ) = \\ \\ = - 2 \times ( \frac{10 \times 2}{1 \times 2} + \frac{3}{2} ) = \\ \\ = - 2 \times \frac{20 + 3}{2} = - \frac{2}{1} \times \frac{23}{2} = \\ \\ = - 1 \times 23 = - 23$