Question

Sea = 0,666..., b = 1,333... e c = 0,141414..., determine o valor de “ 2 ”.
alguem sabe resolver?

Answer 1

Passando os valores de "a" , "b" e "c" para a forma sua fração geratriz:

$\rightarrow a=\frac{6}{9}\\\\\rightarrow b=1+\frac{3}{9}=\frac{9}{9}+\frac{3}{9}\\\\\rightarrow c=\frac{14}{99}$

$2=1+1\\\\2=\frac{18}{9}\\\\2=\frac{9+3+6}{9}\\\\2=\frac{9}{9}+\frac{3}{9}+\frac{6}{9}\\\\2=\left(\frac{9}{9}+\frac{3}{9}\right)+\frac{6}{9}\\\\2=b+a$