Question

qual e a fração geratriz da dizima periódica 12,516516...

Answer 1

$x=12,516516...\\ \\ 1\,000x=12\,516,516516...\\ \\ 1\,000x-x=12\,516,516516...-12,516516...\\ \\ 999x=12\,516-12\\ \\ 999x=12\,504\\ \\ x=\frac{12\,504}{999} \Rightarrow \boxed{x=\frac{4\,168}{333}}$