Question

Qual a fraçao geratriz de 0,1234343 com a conta

Answer 1

Boa noite!

Na 'conta':
$x=0,12343434\ldots=0,12\overline{34}\\100x=12,\overline{34}\\10000x=1234,\overline{34}\\10000x-100x=1234,\overline{34}-12,\overline{34}\\9900x=1234-12=1222\\x=\frac{1222}{9900}\\\boxed{\frac{611}{4950}}$

Fórmula prática:
$0,12343434\ldots=0,12\overline{34}=\frac{1234-12}{9900}=\frac{1222}{9900}=\frac{611}{4950}$

Espero ter ajudado!