уравнения: 4 1/6-3x=1 1/2 уравнение: 5 1/3 / (4/9x) = 1 5/7 / 3/14

1) Избавляемся от смешанных дробей, упрощаем уравнение:

4 1/6 - 3 * x = 1 1/2;

(4 * 6 + 1) / 6 - 3 * x = (1 * 2 + 1) / 2;

25/6 - 3 * x = 3/2;

3 * х = 25/6 - 3/2 = 25/6 - 9/6 = (25 - 9) / 6 = 16/6 = 8/3;

х = 8/3 : 3 = 8/9;

Ответ: х = 8/9.

2) (5 1/3) / (4/9 * x) = (1 5/7) / (3/14);

((5 * 3 + 1) / 3) / (4/9 * x) = ((1 * 7 + 5) / 7) / (3/14);

(16/3) / (4/9 * x) = (12/7) / (3/14);

(16/3 * 9/4) / x = 12/7 * 14/3;

12/x = 4 * 2;

х = 12/8 = 3/2.

Ответ: х = 3/2.