Question

como resolve essa fracão geratriz 0.34545

Answer 1

$Se~~for~~periodico:\\0,34545...\to~~~\dfrac{345-3}{990} \to~~~ \dfrac{342}{990} \to~~~\large\boxed{~ \dfrac{57}{165} ~}\\\\\\\\ Se~~for~~decimal~~exato:\\\\ 0,34545\to~~~ \dfrac{34545}{100000} \to~~~ \large\boxed{~\dfrac{6909}{20000} ~}$

Answer 2

1) X=0.34545 ... 2) X=0.34545(*10)---10x=3,4545... 3)x=0.34545(*1000)---1000x=345.4545 , diminui o 3 pelo 2..... 3) 1000x=345.4545 - 2) 10x=3,4545 ----- 990x=342----- x= 342/990 , simplificando fica x= 114/330 , ainda pode simplificar , x= 57/165 ... Pronto ... 0.34545= 57/165