Выполните действие : ( 2_ 1/2 - 3/5 * 2_1/2) : 7/10 + 1_5/6

Решим пример по действиям:

1) 2 1/2 = (2 * 2 + 1)/2 = (4 + 1)/2 = 5/2;

2) 3/5 * 2 1/2 = 3/5 * 5/2 = 3/2;

3) 5/2 - 3/2 = (5 - 3)/2 = 2/2 = 1;

4) 1 : 7/10 = 1 * 10/7 = 10/7;

5) 10/7 + 1 5/6 = 10/7 + (1 * 6 + 5)/6 = 10/7 + 11/6 = 6 * 10/42 + 7 * 11/42 = (60 + 77)/42 = 137/42;

Ответ: 137/42.