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

Express 9.21212121212... as a rational number, in the form pq
asked 103k views
5 votes
Express 9.21212121212... as a rational number, in the form pq

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User Metabolic
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8.2k points

1 Answer

3 votes

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=(912)/(99)=(304)/(33)
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User Zephni
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7.5k points
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