Answer
$=\dfrac {152}{333}$
Work Step by Step
$0.\overline {456}=0.4656456\ldots =\dfrac {456}{1000}+\dfrac {456}{1000^{2}}+\dfrac {456}{1000^{3}}\ldots =\dfrac {a_{1}}{1-r}=\dfrac {\dfrac {456}{1000}}{1-\dfrac {1}{1000}}=\dfrac {456}{999}=\dfrac {152}{333}$
