Question

indique Qual o número racional geratriz da dizima períodica 0,233​

Answer 1

$\mathtt{x=0,2333...\times10}\\\mathtt{10x=2,333...\times10}\\\mathtt{100x=23,333.. }$

$\mathtt{-\underline{\begin{cases}100x=23,\cancel{333...} \\10x=2,\cancel{333...}\end{cases}}}$

$\mathtt{90x=21}\\\mathtt{x=\dfrac{21\div3}{90\div3}}$

$\huge\boxed{\boxed{\mathtt{x=\dfrac{7}{30}}}}$