4) (-0,96) . (-15) - (-1,52): [0,7(12) + (-0,1(27)) - 0,7(18)].

1. Преобразуем периодические дроби: -0,96 = -96/100 = -24/25, -15 = -15/1, -1,52 = -152/100 = -38/25.

2. 0,7(12) = 7/10 + 12/900 = 630/900 + 12/900 = 642/900 = 107/150.

3. -0,1(27) = -1/10 + 27/900 = -90/900 + 27/900 = -63/900 = -7/100.

4. -0,7(18) = -7/10 + 18/900 = -630/900 + 18/900 = -612/900 = -17/25.

5. Подставим и вычислим: (-24/25) * (-15) - (-38/25) : [107/150 - 7/100 - (-17/25)] = 360/25 + 38/25 : [107/150 - 7/100 + 17/25] = 14.4 + 1.52 : [(107*2 - 7*3 + 17*6)/300] = 14.4 + 1.52 : [(214 - 21 + 102)/300] = 14.4 + 1.52 : [295/300] = 14.4 + 1.52 : [59/60] = 14.4 + 1.52 * 60/59 = 14.4 + 91.2/59 = 14.4 + 1.54576... = 15.94576...