Question

Convert 5.764764764 … to a rational expression in the form of , where b ≠ 0

Answer 1

$x=5.764764\ldots=5.\overline{764}$
$1000x=5764.\overline{764}$

$1000x-x=5764.\overline{764}-5.\overline{764}$
$999x=5759$
$x=\dfrac{5759}{999}$