Выполните действие а) 8 4/15 - 6 8/15+7 14/15 б) 9 1/24 + 8 23/24 - 7 11/24 в) 11 4/29 - (7 7/29 + 3 4/29)

Выполним действия и вычислим их значения:

а) 8 4/15 - 6 8/15 + 7 14/15 = 8 + 4/15 - 6 - 8/15 + 7 + 14/15 = (8 - 6 + 7) + (4/15 - 8/15 + 14/15) = 9 + (4 - 8 + 14) / 15 = 9 + 10/15 = 9 + 2/3 = 9 2/3;

б) 9 1/24 + 8 23/24 - 7 11/24 = 9 + 1/24 + 8 + 23/24 - 7 - 11/24 = (9 + 8 - 7) + (1/24 + 23/24) - 11/24 = 10 + 1 - 11/24 = 10 + (24 - 11) / 24 = 10 + 13/24 = 10 13/24;

в) 11 4/29 - (7 7/29 + 3 4/29) = 11 + 4/29 - (7 + 7/29 + 3 + 4/29) = 11 + 4/29 - (10 + 11/29) = 11 + 4/29 - 10 - 11/29 = 1 - 7/29 = (29 - 7) / 29 = 22/29.