Форум ЗнаниО

Один фактор остаётся непрояснённым. (-5,17: 1 3/4+1,67*4/7)*(-1 1/11)

(-5,17 : 1 3/4 + 1,67 * 4/7) * (-1 1/11) = 2 2/11.


1) -5,17 : 1 3/4 = -517/100 : (1 * 4 + 3)/4 = -517/100 : 7/4 = -517/100 * 4/7 = (-517 * 4)/(4 * 25 * 7) = -517/175 = -2 167/175;


2) 1,67 * 4/7 = 167/100 * 4/7 = (167 * 4)/(4 * 25 * 7) = 167/175;


3) -2 167/175 + 167/175 = -2 - 167/175 + 167/175 = -2 + (-167 + 167)/175 = -2 + 0/175 = -2 + 0 = -2;


4) -2 * (-1 1/11) = -2 * (-(1 * 11 + 1)/11) = -2 * (-(11 + 1)/11) = -2 * (-12/11) = (-2 * (-12))/11 = 24/11 = 2 (24 - 2 * 11)/11 = 2 (24 - 22)/11 = 2 2/11.