Question

determine a fração geratriz 8,3636

Answer 1

$\mu=8,363636...\times100(l) \\100\mu=836,363636...(ll)$

$(ll)-(l):-\begin{cases}100\mu=836,\cancel{363636}...\\\mu=8,\cancel{363636}...\end{cases}$

$99\mu=828\\\mu=\dfrac{828\div9}{99\div9}$

$\bf{\mu=\dfrac{92}{11}}$