17-04-2019
Mathematics

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0.48 (8 repeating) as a fraction in simplest form

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LammettHash LammettHash

17-04-2019

[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]

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