Question

$\frac{x + 0.(18)}{3} = - \frac{3}{11}$
решите уравнение

х+0,(18)/3=- 3/11​

Answer 1

$\displaystyle\bf\\0,(18)=\frac{18}{99} =\frac{2}{11} \\\\\\\frac{x+0,(18)}{3} =-\frac{3}{11} \\\\\\\frac{x+\frac{2}{11} }{3} \cdot33=-\frac{3}{11} \cdot 33\\\\\\\Big(x+\frac{2}{11} \Big)\cdot 11=-3\cdot 3\\\\\\11x+2=-9\\\\\\11x=-11\\\\\\x=-1$