Question

qual a fração geratriz da dizima 0,15777...

Answer 1

$x=0,15777...\\ \\ 10x=1,57777...\\ \\ 10x-x=1,57777...-0,15777...\\ \\ 9x=1,57-0,15\\ \\ 900x=157-15\\ \\ 900x=142\\ \\ x=\frac{142}{900}\\ \\ \boxed{x=\frac{71}{450}}$