Найдите значение выражения 8 7\9+(7 5\9-4 4\9) и 11 2\9- (3 17\19+6 14\19)

Найдём значение выражения:

1. 8 7/9 + (7 5/9 - 4 4/9) = 11 8/9;

1) 7 5/9 - 4 4/9 = 7 - 4 + 5/9 - 4/9 = 3 + 5/9 - 4/9 = 3 + (5 - 4)/9 = 3 + 1/9 = 3 1/9;

2) 8 7/9 + 3 1/9 = 8 + 3 + 7/9 + 1/9 = 11 + 7/9 + 1/9 = 11 + (7 + 1)/9 = 11 + 8/9 = 11 8/9.

2. 11 2/19 - (3 17/19 + 6 14/19) = 9/19;

1) 3 17/19 + 6 14/19 = 3 + 6 + 17/19 + 14/19 = 9 + 17/19 + 14/19 = 9 + (17 + 14)/19 = 9 + 31/19 = 9 + 1 12/19 = 10 12/19;

2) 11 2/19 - 10 12/19 = 11 - 10 + 2/19 - 12/19 = 1 + (2 - 12)/19 = 1 - 10/19 = 19/19 - 10/19 = (19 - 10)/19 = 9/19.