[tex]x=0.4\overline8=0.4888\ldots[/tex]
[tex]10x=4.\overline8[/tex]
[tex]100x=48.\overline8[/tex]
[tex]100x-10x=48.\overline8-4.\overline8\implies90x=44\implies x=\dfrac{44}{90}=\dfrac{22}{45}[/tex]
