ANONYMUSNESS4263 ANONYMUSNESS4263

02-08-2017
Mathematics

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Express 8.5454545454... as a rational number, in the form p/q where p and q are positive integers with no common factors.

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konrad509 konrad509

02-08-2017

[tex]x=8.\overline{54}\\ 100=854.\overline{54}\\ 100x-x=854.\overline{54}-8.\overline{54}\\ 99x=846\\ x=\dfrac{846}{99}=\dfrac{94}{11} [/tex]

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