Express 763636363636 as a rational number

asked Oct 15, 2018 187k views

3 votes

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3 votes

$x=0.7636363\ldots$

$10x=7.636363\ldots$

$1000x=763.636363\ldots$

$\implies1000x-10x=990x=756\implies x=(756)/(990)=(42)/(55)$

Allejo answered Oct 21, 2018

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