Question

Qual a fração da dizima periodica 1,43333?​

Answer 1

$\mathsf{x=1,4333....\cdot(100)}\\\mathsf{100x=143,333...\cdot(10)}\\\mathsf{1000x=1433,333...}$

$-\underline{\begin{cases}\mathsf{1000x=1433,333...}\\\mathsf{100x=143,333...}\end{cases}}$

$\mathsf{900x=1290}\\\mathsf{x=\dfrac{1290\div30}{900\div30}}\\\huge\boxed{\boxed{\boxed{\boxed{\mathsf{x=\dfrac{43}{30}}}}}}$