Question

qual a geratriz da decimal de 0,125777... passo a passo por favor​

Answer 1

Explicação passo-a-passo:

(1257 - 125) / 9000 =

1132/9000 = 283/2250→ geratriz de 0,125777...

Answer 2

$\text{Considere}\ x=0.125\bar{7}\\\\ \text{Dessa forma,}\ 1000x=125.\bar{7}\\\\ \mathrm{Al\acute{e}m\ disso,}\ 10000x=1257.\bar{7}\\\\ \mathrm{Podemos\ fazer\ a\ seguinte\ opera\c{c}\tilde{a}}\text{o:}\\\\ 10000x-1000x=1257.\bar{7}-125.\bar{7}\ \therefore\\\\ 9000x=1132\ \therefore\ 2250x=283\ \therefore\\\\ \boxed{x=\dfrac{283}{2250}}$