Найдите корешки уравнений 1)3.2/20-x=18.1/8. 2)-10.3/7-x=-9.2/3. 3)3.1/2-x=7.1/5. 4)40.5/9-x=63.4/5

1) 3 2/20 - x = 18 1/8;

х = 3 2/20 - 18 1/8 = (3 * 20 + 2)/20 - (18 * 8 + 1)/8 = 62/20 - 145/8 = 2 * 62/40 - 5 * 145/40 = (124 - 725)/40 = -601/40;

Ответ: х = -601/40.

2) -10 3/7 - x = -9 2/3;

х = -10 3/7 + 9 2/3 = -(10 * 7 + 3)/7 + (9 * 3 + 2)/3 = -73/7 + 29/3 = -3 * 73/21 + 7 * 29/21 = (203 - 219)/21 = -16/21;

Ответ: х = -16/21.

3) 3 1/2 - x = 7 1/5;

х = 3 1/2 - 7 1/5 = (3 * 2 + 1)/2 - (7 * 5 + 1)/5 = 7/2 - 36/5 = 35/10 - 72/10 = (35 - 72)/10 = -37/10;

Ответ: х = -37/10.

4) 40 5/9 - x = 63 4/5;

х = 40 5/9 - 63 4/5 = (40 * 9 + 5)/9 - (63 * 5 + 4)/5 = 365/9 - 319/5 = (5 * 365 - 9 * 319)/45 = -1046/45;

Ответ: х = -1046/45.