Question

O quociente  6,888...  é igual a ?
                   2,444...   

Answer 1

determinando-se as frações geratrizes das dízimas:


$\boxed{6,888...= 6+\frac{8}{9}=\frac{62}{9}} \\ \\ \boxed{2,444=2+\frac{4}{9}=\frac{22}{9}} \\ \\ \boxed{\frac{\frac{62}{9}}{\frac{22}{9}}=\frac{62}{22}=\frac{31}{11}=2,818181...}$