Question

Determine a fração geratriz da dizima abaixo 3,72454545...

Answer 1

$x=3,724545...\\100x=372,4545...\\10000x=37245,4545...\\\\10000x-100x=37245,45-372,45\\9900x=36873\\\\x= \frac{36873^{\div9}}{9900^{\div9}} =\ \textgreater \ \boxed{\boxed{x= \frac{4097}{1100}}}$