Question

Qual a fração geratriz de 1,141141...?

Answer 1

1,141141= x(I)
11,41141141=10x9(II)
114,1141141=100x(III)
1141,141141=1000x(IIII)
fazendo(IIII)-(III)
1000X=1141,141141
 100X=   114,1141141

900X=1027,0270269
X=$\frac{1027,027269}{900}$
X=1,141141141⇒1,141...