3 years ago

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

1 answer:

6 0

$x=2.070707\ldots=2.\overline{07}$
$100x=207.070707\ldots=207.\overline{07}$
$100x-x=99x=205\implies x=\dfrac{205}{99}$

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