Question

Encontre a fração geratriz da dízima 0,32222...

Answer 1

$\mathsf{x=0,3222...\times10}\\\mathsf{10x=3,222...\times10}\\\mathsf{100x=32,222...}$

$\mathsf{-\underline{\begin{cases}100x=32,\cancel{222...} \\10x=3,\cancel{222...} \end{cases}}}$

$\mathsf{90x=29}$

$\boxed{\boxed{\mathsf{x=\dfrac{29}{90}}}}$