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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.

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

User Jeff Garrett
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x=8.\overline{54}\\ 100=854.\overline{54}\\ 100x-x=854.\overline{54}-8.\overline{54}\\ 99x=846\\ x=(846)/(99)=(94)/(11)
User Sobhan Jahanmard
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