Question

determine a fração geratriz dessa dizima periódica:​

Answer 1

$x = 1.151515... \\ \\ 100x = 115.151515... \\ \\ \\ 100x - x = 115 .151515... - 1.151515... \\ \\ \\ 99x = 114 \\ \\ \frac{99x}{99} = \frac{114}{99} \\ \\ x = \frac{114}{99} = \frac{38}{33} \\ \\ x= \frac{38}{33}$