Решите уравнения 1) 6 целых 3/11 + x = 10 целых 6/7 2) 9 целых 5/36 - x = 2 целых 4/9 3) x - 5 целых 17/60 = 7 целых 9/20

1) 6 3/11 + x = 10 6/7;

х = 10 6/7 - 6 3/11;

х = 76/7 - 69/11;

х = (76 * 11) / (7 * 11) - (69 * 7) / (11 * 7);

х = 836/77 - 483/77;

х = 353/77.

х = 4 45/77.

Проверка:

6 3/11 + 353/77 = 10 6/7;

69/11 + 353/77 = 10 6/7;

(69 * 7) / (11 * 7) + 353/77 = 10 6/7;

483/77 + 353/77 = 10 6/7;

836/77 = 76/7;

76/7 = 76/7. Решение верно.

2) 9 5/36 - x = 2 4/9

329/36 - х = 22/9;

х = 329/36 - 22/9;

х = 329/36 - (22 * 4) / (9 * 4);

х = 329/36 - 88/36;

х = 241/36;

х = 6 25/36.

Проверка:

9 5/36 - 6 25/36 = 2 4/9;

8 5/36 + 36/36 - 6 25/36 = 2 4/9;

8 41/36 - 6 25/36 = 2 4/9;

2 16/36 = 2 4/9;

2 4/9 = 2 4/9. Решение верно.

3) x - 5 17/60 = 7 9/20

х = 5 17/60 + 7 9/20;

х = 317/60 + 149/20;

х = 317/60 + (149 * 3) / (20 * 3);

х = 317/60 + 447/60;

х = 764/60;

х = 12 44/60.

Проверка:

12 44/60 - 5 17/60 = 7 9/20;

7 27/60 = 7 9/20;

7 9/20 = 7 9/20. Решение верно.