Question

fração geratris de 1,1212...​

Answer 1

$\Large\boxed{\begin{array}{l}\sf x=1,1212\dotsc\cdot100\\\sf 100x=12,1212\dotsc\\-\underline{\begin{cases}\sf100x=112,121212\dotsc\\\sf x=1,121212\dotsc\end{cases}}\\\sf 99x=111\\\sf x=\dfrac{111}{9}\end{array}}$