Решить наиболее простым способом. 6 целых 5/6 * (-1/139) -2,25 * 1/139 + 1/12 *(-1/139) +...

$6 \frac{5}{6} \times ( - \frac{1}{139} ) - 2.25 \times \frac{1}{139} +$

$+ \frac{1}{12} \times ( - \frac{1}{139} ) + 3 \frac{3}{8} \times \frac{1}{139}$

решаем по действиям :

$1)6 \frac{5}{6} \times ( - \frac{1}{139} ) = - 6 \frac{5}{6} \times \frac{1}{139} = - \frac{41}{6} \times \frac{1}{139} =$

$= - \frac{41}{834} .$

$2)2.25 \times \frac{1}{139} = 2 \frac{1}{4} \times \frac{1}{139} = \frac{9}{4} \times \frac{1}{139} =$

$= \frac{9}{556} .$

$3) \frac{1}{12} \times ( - \frac{1}{139} ) = - \frac{1}{12} \times \frac{1}{139} = - \frac{1}{1668} .$

$4)3 \frac{3}{8} \times \frac{1}{139} = \frac{27}{8} \times \frac{1}{139} = \frac{27}{1112} .$

$5) - \frac{41}{834} - \frac{9}{556} = - \frac{82}{1668} - \frac{27}{1668} = - \frac{109}{1668} .$

$6) - \frac{109}{1668} + ( - \frac{1}{1668} ) = - \frac{109}{1668} - \frac{1}{1668} = - \frac{110}{1668} =$

$= - \frac{55}{834} .$

$7) - \frac{55}{834} + \frac{27}{1112} = \frac{27}{1112} - \frac{55}{834} = \frac{81}{3336} -$

$- \frac{220}{3336} = - \frac{139}{3336} = - \frac{1}{24} .$

Ответ :

$- \frac{1}{24} .$