Question

Encontre a fração geratriz dessa dízima periódica 0,25111...

Answer 1

Olá, tudo bem?

Vamos lá:

$x=0,25\overline{1}\\ 100x=25,\overline{1}\\ 1000x=251,\overline{1}\\\\ 1000x-100x=251,1-25,1\\ 900x=226\\ x= \frac{226^{\div2}}{900^{\div2}} \\\\ \boxed{\boxed{x= \frac{113}{450} }}$