madcoope3549 madcoope3549

05-01-2018
Mathematics

contestada

Express 2.07070707071... as a rational number, in the form pq where p and q are positive integers with no common factors.

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LammettHash LammettHash

05-01-2018

[tex]x=2.070707\ldots=2.\overline{07}[/tex]
[tex]100x=207.070707\ldots=207.\overline{07}[/tex]
[tex]100x-x=99x=205\implies x=\dfrac{205}{99}[/tex]

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