Question

Determinar a geratriz de cada dizima:

0,41444...
0,8235235....
0,1235235....

Answer 1

Usando o método da equação pra determinar

$x=0,414444...*(100)\\100x=41,444....\\100x=41+ \frac{4}{9} \\ \\100x= \frac{373}{9} \\ \\900x=373\\ \\\boxed{x= \frac{373}{900} }$

$y=0,8235235...~*(10)\\10y=8,235235...\\ \\10y=8+ \frac{235}{999} \\ \\10y= \frac{8227}{999}\\ \\\boxed{y= \frac{8227}{9990} }$

$z=0,1235235...*(10)\\10z=1,235235...\\ \\10z=1+ \frac{235}{999} \\ \\10z= \frac{1234}{999} \\ \\\boxed{z= \frac{1234}{9990} }$