Question

A dízima periódica 0,5333...corresponde a qual das frações abaixo a)3/5 b)11/15..calculos

Answer 1

$0,533... \\ \\ x=0,5333... \\ \\ 10x=5,333... \\ 100x=53,333 \\ \\ 100x-10x=53,3-5,3 \\ \\ 90x=48 \\ \\ x= \frac{48}{90} = \frac{48:6}{90:6} = \frac{8}{15} \\ \\ 0,5333...= \frac{8}{15}$