Question

a dizima periódica 0,00111 ... é igual a

Answer 1

método longo

$x=0,00111... \\ 100x=0,111... \\ 1000x=1,111... \\ \\ 1000x-100x=0,1-1,1 \\ 900x=1 \\ \\ x= \frac{1}{900}$