((7,8 - 26,25) * 16/23) : ((2 целых 5/9 + 1

Решаем примеры по действиям:

1) (7,8 - 26,25) * 16/23 = (780/100 - 2625/100) * 16/23 = (780 - 2625)/100 * 16/23 = -1845/100 * 16/23 = -(1845 * 16)/(100 * 23) = -(369 * 4)/(5 * 23) = -1476/115;

2) 2 5/9 + 1 11/45 = (2 * 9 + 5)/9 + (1 * 45 + 11)/45 = 23/9 + 56/45 = (115 + 56)/45 = 57/15;

3) 57/15 * 2 7/19 = 57/15 * 45/19 = (57 * 45)/(15 * 19) = 171/19 = 9;

4) -1476/115 : 9 = -164/115;

5) 5,6 + 2/5 = 56/10 + 4/10 = 60/10 = 6;

6) 13,8 : 6 = 138/60 = 23/10;

7) 3 - 23/10 = 30/10 - 23/10 = 7/10;

8) 8 * 7/10 = 56/10;

9) -164/115 + 56/10 = -328/230 + 1288/230 = (1288 - 328)/230 = 960/230 = 96/23;

Ответ: 96/23.