Выполните действия: (8-4 3/11)+2 8/11 11 1/7-(5 4/7+3 6/7)

Выполним действия:

1. (8 - 4 3/11) + 2 8/11 = 6 5/11;

1) 8 - 4 3/11 = 8 - 4 - 3/11 = 4 - 3/11 = 3 + 1 - 3/11 = 3 + 11/11 - 3/11 = 3 + (11 - 3)/11 = 3 + 8/11 = 3 8/11;

2) 3 8/11 + 2 8/11 = 3 + 2 + 8/11 + 8/11 = 5 + 8/11 + 8/11 = 5 + (8 + 8)/11 = 5 + 16/11 = 5 + 1 5/11 = 6 5/11.

2. 11 1/7 - (5 4/7 + 3 6/7) = 1 5/7;

1) 5 4/7 + 3 6/7 = 5 + 3 + 4/7 + 6/7 = 8 + 4/7 + 6/7 = 8 + (4 + 6)/7 = 8 + 10/7 = 8 + 1 3/7 = 9 3/7;

2) 11 1/7 - 9 3/7 = 11 - 9 + 1/7 - 3/7 = 2 + 1/7 - 3/7 = 2 + (1 - 3)/7 = 2 - 2/7 = 1 + 1 - 2/7 = 1 + 7/7 - 2/7 = 1 + (7 - 2)/7 = 1 + 5/7 = 1 5/7.