1 целая 5/6-2 целых5/9+4 целых 1/3-3 целых 1/2

1 целая 5/6-2 целых 5/9+4 целых 1/3-3 целых 1/2.

1 5/6 - 2 5/9 + 4 1/3 - 3 1/2 = 1/9;

Первое действие.

1 5/6 - 2 5/9 = 1 * 6 + 5/6 - 2 * 9 + 5/9 = 11/6 - 23/9 = 11 * 9/6 * 9 - 23 * 6/9 * 6 = 99/54 - 138/54 = 99 - 138/54 = -39/54 = - 13 * 3/18 * 3 = -13/18;

Второе действие.

-13/18 + 4 1/3 = -13/18 + 4 * 3 + 1/3 = -13/18 + 13/3 = -13 * 3/18 * 3 + 13 * 18/3 * 18 = -39/54 + 234/54 = -39 + 234/54 = 195/54 = 65 * 3/18 * 3 = 65/18 = -11 + 3 * 18/18 = 3 11/18;

Третье действие.

3 11/18 - 3 1/2 = 3 * 18 + 11/18 - 3 * 2 + 1/2 = 65/18 - 7/2 = 65 * 2/18 * 2 - 7 * 18/2 * 18 = 130/36 - 126/36 = 130 - 126/36 = 4/36 = 1 * 4/9 * 4 = 1/9.