Question

qual é a fração geratriz da dízima 0,691691691...​

Answer 1

Caso tenha problemas para visualizar resposta experimente abrir pelo navegador

https://brainly.com.br/tarefa/32395454?utm_source=android&utm_medium=share&utm_campaign=question

$\sf{x=0,691691...\cdot1000}\\\sf{1000x=691,691691...}$

$-\underline{\begin{cases}\sf{1000x=691,\diagup\!\!\!6~\diagup\!\!\!9~\diagup\!\!\!1~\diagup\!\!\!6~\diagup\!\!\!9~\diagup\!\!\!1...}\\\sf{x=0,\diagup\!\!\!6~\diagup\!\!\!9~\diagup\!\!\!1~\diagup\!\!\!6~\diagup\!\!\!9~\diagup\!\!\!1...}\end{cases}}$

$\sf{999x=691}\\\sf{x=\dfrac{691}{999}}$