Ответ: -3 53/65.
Пошаговое объяснение:
х- 98,4 : (-52) = -2,5 : 1,3
x - (98+4/10) : (-52) = -25 : 13
х - (98+2*2/2*5) : (-52) = - 25/13
х - (98+2/5) : (-52) = -25/13
х - 98 2/5 : (-52) = -25/13
х - (98*5+2)/5 : (-52) = 25/13
х - 492/5 : (-52/1) = -25/13
х - 492/5 * (-1/52) = -25/13
х - 492*(-1)/5*52 = -25/13
х - (-492/260) = -25/13
х + 492/260 = -25/13
х + 123*4/65*4 = -25/13
х + 123/65 = -25/13
х = -25/13 - 123/65
х = -25*5/13*5 - 123/65
х = -125/65 - 123/65
х = (-125-123)/65
х = -248/65
х = -(195+53)/65
х = -(195/65 + 53/65)
х = - (3 + 53/65)
х = - 3 целых 53/65
Проверка:
- 3 53/65 - 98,4 : (-52) = -(3*65+53)/65 - 98 4/10 : (-52) =
= -248/65 - 98 2*2/5*2 : (-52) = -248/65 - 98 2/5 : (-52) =
= -248/65 - (98*5+2)/5 : (-52/1) = -248/65 - 492/5 * (-1/52) =
= -248/65 - 492*(-1)/5*52 = -248/65 - (-492/260) = -248/65 + 492/260 =
= -248/65 + 123/65 = (-248+123)/65 = -125/65 = -25*5/13*5 = -25/13 = -2,5/1,3
-2,5/1,3 = -2,5/1,3
Ответ: -3 53/65 (или -3 целых 53/65).