(1/122-2):(1/5-1/40)-(2+6 2/3):(1 5/6-1 2/3) по действиям

Ответ

Автор - juvia1Loxar

Ответ:

$-63frac{163}{427}$

Пошаговое объяснение:

$(frac{1}{122} - 2) / (frac{1}{5} - frac{1}{40}) - (2 + 6frac{2}{3}) / (1frac{5}{6} - 1frac{2}{3})$

1) $frac{1}{122} - 2 = frac{1}{122} - frac{2}{1} = frac{1}{122} - frac{244}{122} = - frac{243}{122}$

2) $frac{1}{5} - frac{1}{40} = frac{8}{40} - frac{1}{40} = frac{7}{40}$

3) $2+ 6frac{2}{3} = 8frac{2}{3} = frac{26}{3}$

4) $1frac{5}{6} - 1frac{2}{3} = frac{11}{6} - frac{5}{3} = frac{11}{6} - frac{10}{6} = frac{1}{6}$

5) $-frac{243}{122} / frac{7}{40} = -frac{243}{122} * frac{40}{7} = - frac{243 * 40}{122* 7} = - frac{9720}{854} = - 11frac{326}{854} = - 11frac{163}{427}$

6) $frac{26}{3} / frac{1}{6} = frac{26}{3} * frac{6}{1} = frac{26 * 6}{3 * 1} = 52$

7) $-11frac{163}{427} - 52 = -63frac{163}{427}$