Question

obtenha a fração geratriz de:0,2010101...​

Answer 1

$\mathtt{x=0,20010101... \times100}\\\mathtt{100x=20,010101... \times100}\\\mathtt{10000x=2001,010101... }$

$-\underline{\begin{cases}\mathtt{10000x=2001,010101... }\\\mathtt{100x=20,010101...}\end{cases}}$

$\mathtt{9900x=1981}$

$\huge\boxed{\boxed{\mathtt{x=\dfrac{1981}{9900}}}}$