Question

como se faiz uma fraçao geratriz corrspondente a 0,656565...

Answer 1

$x=0,656565\ldots\\ \\ 100x=65,656565\ldots\\ \\ \\ 65,656565\ldots=65+0,656565\ldots\\ \\ 100x=65+x\\ \\ 100x-x=65\\ \\ 99x=65\\ \\ x=\dfrac{65}{99} \Rightarrow \boxed{0,656565\ldots=\dfrac{65}{99}}$