Question

Qual é a fração geratriz de 0,15151515

Answer 1

$\Large\boxed{\begin{array}{l}\sf x=0,151515\dotsc\cdot 100\\\sf 100x=15,151515\dotsc\\\sf-\underline{\begin{cases}\sf100x=15,151515\dotsc\\\sf x=0,151515\dotsc\end{cases}}\\\sf 99x=15\\\\\sf x=\dfrac{15\div3}{99\div3}\\\\\sf x=\dfrac{5}{33}\end{array}}\Huge\blue{\checkmark}$