Question

qual a fraçao geratriz de 5,124444...=?

Answer 1

$\mathsf{x=5,12444... \times1000}\\\mathsf{1000x=5124,444... \times10}\\\mathsf{10000x=51244,444...}$

$\mathsf{-\underline{\begin{cases}10000x=51244,\cancel{444...}\\1000x=5124,\cancel{444...}\end{cases}}}$

$\mathsf{9000x=46120}\\\mathsf{x=\dfrac{46120\div40}{9000\div40}}$

$\boxed{\boxed{\mathsf{x=\dfrac{1153}{225}}}}$