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Express-0-999-as-p-q-




Question Number 1736 by navajyoti.tamuli.tamuli@gmail. last updated on 04/Sep/15
Express 0.999... as (p/q)
$${Express}\:\mathrm{0}.\mathrm{999}…\:{as}\:\frac{{p}}{{q}} \\ $$
Answered by 123456 last updated on 04/Sep/15
x=0.999999....  10x=9.9999999.....  9x=9  x=1
$${x}=\mathrm{0}.\mathrm{999999}…. \\ $$$$\mathrm{10}{x}=\mathrm{9}.\mathrm{9999999}….. \\ $$$$\mathrm{9}{x}=\mathrm{9} \\ $$$${x}=\mathrm{1} \\ $$

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