Решите уравнение 5/8x - 0,5=2 целых 3/4

5/8 * x - 0,5 = 2 3/4;

5/8 * х = 2 3/4 + 5/10;

5/8 * х = 11/4 + 5/10;

5/8 * х = (11 * 5) / (4 * 5) + (5 * 2) / (10 * 2);

5/8 * х = 55/20 + 10/20;

5/8 * х = 65/20;

х = 65/20 : 5/8;

х = 65/20 * 8/5;

х = (65 * 8) / (20 * 5);

х = 520/100;

х = 26/5;

х = 5 1/5.

Проверка:

5/8 * 5 1/5 - 0,5 = 2 3/4;

5/8 * 26/5 - 5/10 = 2 3/4;

26/8 - 5/10 = 2 3/4;

13/4 - 5/10 = 2 3/4;;

(13 * 10) / (4 * 10) - (5 * 4) / (10 * 4) = 2 3/4;

130/40 - 20/40 = 2 3/4;

(130 - 20) / 40 = 2 3/4;

110/40 = 2 3/4;

11/4 = 2 3/4;

2 3/4 = 2 3/4

Решение верно.