Решите уравнение 1) 10 11/24 - x = 6 7/16 2) ( 5/6 + х ) - 2/3 = 13/18

 1) 10 11/24 - x = 6 7/16;

  10 11/24 - 6 7/16 = х;

251/24 - 103/16 = х;

502/48 - 309/48 = х;

(502 - 309)48 = х;

193/48 = х;

х = 4 1/48;

Проверим решение.

10 11/24 - х = 6 7/16;

10 11/24 - 4 1/48 =6 7/16;

251/24 - 193/48 = 6 7/16;

502/48 - 193/48 = 6 7/16;

(502 - 193)/48 = 6 7/16;

309/48 = 6 7/16;

103/16 = 6 7/16;

6 7/16 = 6 7/16;  

2) ( 5/6 + х ) - 2/3 = 13/18;

5/6 + х - 2/3 = 13/18;

х = 13/18 - 5/6 + 2/3;

х = 13/18 - 15/18 + 12/18;

х = 10/18 = 5/9;

Проверим решение.

(5/6 + х) - 2/3 = 13/18;

5/6 + 5/9 - 2/3 = 13/18;

15/18 + 10/18 - 12/18 = 13/18;

13/18 = 13/18;