Решите уравнение: 1 13/15*(4 1/6-x):4 8/9=1 1/2

1 13/15 * (4 1/6 - x) : 4 8/9 = 1 1/2;

28/15 * (25/6 - х) : 44/9 = 3/2;

(25/6 - х) : 44/9 = 3/2 : 28/15;

(25/6 - х) : 44/9 = 3/2 * 15/28;

(25/6 - х) : 44/9 = 45/56;

25/6 - х = 45/56 * 44/9;

25/6 - х = 5/14 * 11;

25/6 - х = 55/14;

х = 25/6 - 55/14;

х = 175/42 - 165/42;

х = 10/42 = 5/21.

Проверка:

1 13/15 * (4 1/6 - 5/21) : 4 8/9 = 1 1/2;

28/15 * (25/6 - 5/21) : 44/9 = 3/2;

28/15 * (175/42 - 10/42) : 44/9 = 3/2;

28/15 * 165/42 : 44/9 = 3/2;

22/3 : 44/9 = 3/2;

22/3 * 9/44 = 3/2;

3/2 = 3/2.

Ответ: х = 10/42 = 5/21.