(7 : 5/6 - 8 1/9) * 2 2/5 : ((3/8 + 5/6 + 5/12) * 8/25) = 1 1/3
1) 7 : 5/6 = 7 * 6/5 = 42/5 = 8 2/5
2) 8 2/5 - 8 1/9 = (8 - 8) + (2/5 - 1/9) = 0 + (18/45 - 5/45) = 0 + 13/45 = 13/45
3) 3/8 + 5/6 = 9/24 + 20/24 = 29/24
3) 29/24 + 5/12 = 29/24 + 10/24 = 39/24
4) 39/24 * 8/25 = 13/25
5) 13/45 * 2 2/5 = 13/45 * 12/5 = 52/75
6) 52/75 : 13/25 = 52/75 * 25/13 = 52/39 = 1 1/3
ответ: 1 1/3
Пошаговое объяснение:
(7 : 5/6 - 8 1/9) * 2 2/5 : ((3/8 + 5/6 + 5/12) * 8/25) = 1 1/3
1) 7 : 5/6 = 7 * 6/5 = 42/5 = 8 2/5
2) 8 2/5 - 8 1/9 = (8 - 8) + (2/5 - 1/9) = 0 + (18/45 - 5/45) = 0 + 13/45 = 13/45
3) 3/8 + 5/6 = 9/24 + 20/24 = 29/24
3) 29/24 + 5/12 = 29/24 + 10/24 = 39/24
4) 39/24 * 8/25 = 13/25
5) 13/45 * 2 2/5 = 13/45 * 12/5 = 52/75
6) 52/75 : 13/25 = 52/75 * 25/13 = 52/39 = 1 1/3
ответ: 1 1/3
Пошаговое объяснение: