Решите уравнение. 2 1/2: (1/2 x + 5/12)-1 5/6 = 2/3

2 1/2 : (1/2х + 5/12) - 1 5/6 = 2/3
2 1/2 : (1/2х +5/12) = 2/3 + 1 5/6 = 4/6 + 1 5/6 = 1 9/6 = 2 3/6 = 2 1/2
1/2х + 5/12 = 2 1/2 : 2 1/2 = 1
1/2х = 1 - 5/12 = 12/12 - 5/12 = 7/12
х = 7/12 : 1/2 = 7/12 * 2 = 7/6 = 1 1/6
х = 1 целая 1/6

Проверка:
2 1/2 : (1/2 * 1 1/6 + 5/12) - 1 5/6 = 2/3
2 1/2 : (7/12 + 5/12) - 1 5/6 = 2/3
2 1/2 : 1 - 1 5/6 = 2/3
2 3/6 - 1 5/6 = 1 9/6 - 1 5/6 = 4/6 = 2/3