(15:5/18:3 3/8)*(-1/16-11/36-5/48-5/18) ---------------------------------------------------- черта дроби (8 21/22-11 5/11):1 2/3

((15 : 5/18 : 3 3/8) * (-1/16 - 11/36 - 5/48 - 5/18))/((8 21/22 - 11 5/11) : 1 2/3)) = 8.

1) 15 : 5/18 = 15 * 18/5 = (3 * 5 * 18)/5 = 54;

2) 54 : 3 3/8 = 54 : (3 * 8 + 3)/8 = 54 : 27/8 = 54 * 8/27 = (2 * 27 * 8)/27 = 16;

3) -1/16 - 5/48 = -3/48 - 5/48 = -8/48 = -1/6;

4) -11/36 - 5/18 = -11/36 - 10/36 = -21/36 = -7/12;

5) -1/6 - 7/12 = -2/12 - 7/12 = -9/12 = -3/4;

6) 16 * (-3/4) = (4 * 4 * (-3))/4 = -12;

7) 8 21/22 - 11 5/11 = 8 - 11 + 21/22 - 5/11 = -3 + 21/22 - 10/22 = -3 + 11/22 = -3 + 1/2 = -2 1/2;

8) -2 1/2 : 1 2/3 = -5/2 : 5/3 = -5/2 * 3/5 = -3/2 = -1 1/2;

9) -12 : -1 1/2 = 12 : 3/2 = 12 * 2/3 = (3 * 4 * 2)/3 = 8.