0.48 (8 repeating) as a fraction in simplest form

asked Dec 14, 2020 54.0k views

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3 votes

$x=0.4\overline8=0.4888\ldots$

$10x=4.\overline8$

$100x=48.\overline8$

$100x-10x=48.\overline8-4.\overline8\implies90x=44\implies x=(44)/(90)=(22)/(45)$

CharlesLeaf answered Dec 20, 2020

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