Question

Se x=0,6666... e y=1,2222...,então qual o valor da fração equivalente a + y?

Answer 1

$\displaystyle x=\frac{6}{9}\\ \\ y=1+0.\overline{2}=1+\frac{2}{9}\\ \\ \text{Entonces} \\ \\ x+y=\frac{6}{9} + 1+\frac{2}{9}\\ \\ x+y=1+\frac{6+2}{9}\\ \\ x+y=1+\frac{8}{9}\\ \\ \\ \large\boxed{x+y=\frac{17}{9}}$