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3 years ago

Express 9.21212121212... as a rational number, in the form pq

1 answer:

7 0

$x=9.212121\ldots=9.\overline{21}$
$100x=921.212121\ldots=921.\overline{21}$
$99x=921.\overline{21}-9.\overline{21}=921-9=912$
$\implies x=\dfrac{912}{99}=\dfrac{304}{33}$

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