Решите уравнение (2 8/9x-2 1/4):2 1/12=3/5

(2 8/9 x - 2 1/4) : 2 1/12 = 3/5;

(26/9 x - 9/4) : 25/12 = 3/5;

26/9 x - 9/4 = 3/5 * 25/12;

26/9 x - 9/4 = 72/60;

26/9 x - 9/4 = 5/4;

26/9 х = 5/4 + 9/4;

26/9 х = 14/4;

26/9 х = 7/2;

х = 7/2 : 26/9;

х = 7/2 * 9/26;

х = 63/52 = 1 11/52.

Проверка:

(2 8/9 * 1 11/52 - 2 1/4) : 2 1/12 = 3/5;

(26/9 * 63/52 - 9/4) : 25/12 = 3/5;

(7/2 - 9/4) : 25/12 = 3/5;

(14/4 - 9/4) : 25/12 = 3/5;

5/4 : 25/12 = 3/5;

5/4 * 12/25 = 3/5;

60/100 = 3/5;

3/5 = 3/5.

Ответ: х = 63/52 = 1 11/52.