Answer :

[tex]x=0.4\overline{82}\\
10x=4.\overline{82}\\
1000x=482.\overline{82}\\\\
1000x-10x=482.\overline{82}-4.\overline{82}\\
990x=478\\
x=\dfrac{478}{990}=\dfrac{239}{495}
[/tex]

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Rewritten by : Barada