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

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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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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User Andreas Gelever
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7.8k points

1 Answer

6 votes

x=2.070707\ldots=2.\overline{07}

100x=207.070707\ldots=207.\overline{07}

100x-x=99x=205\implies x=(205)/(99)
answered
User Zelazowy
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7.2k points
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