Решите уравнение: 1) (1 1/12+3,75)-(-x)=4,5 2) x-(7 5/9-5 1/6)=-3,5

1) (1 1/12 + 3,75) - (-х) = 4,5;

(1 1/12 + 3,75) + х = 4,5;

1 1/12 + 3,75 = 1 1/12 + 3 75/100 = 1 1/12 + 3 1/4 = 1 + 3 + 1/12 + (1 * 3)/4 * 3) = 4 + 1/12 + 3/12 = 4 + 4/12 = 4 1/3;

х = 4,5 - 4 1/3;

х = 4 - 4 + 5/10 - 1/3 = 1/2 - 1/3 = 3/6 - 2/6 = 1/6;

Ответ: х = 1/6.

2) х - (7 5/9 - 5 1/6) = -3,5;

7 5/9 - 5 1/6 = 7 - 5 + (5 * 2)/18 - (1 * 3)/18 = 2 + 10/18 - 3/18 = 2 + 7/18 = 2 7/18;

х - 2 7/18 = -3,5;

х = -3,5 + 2 7/18;

-3 5/10 + 2 7/18 = -3 + 2 - 5/10 + 7/18 = -1 - 1/2 + 7/18 = -1 - 9/18 + 7/18 = -1 - 2/18 = -1 1/9;

х = -1 1/9.

Ответ: х = -1 1/9.