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3 votes
3 votes
0.21212121... as a fraction

User Eduardo Rascon
by
2.8k points

1 Answer

11 votes
11 votes

If x = 0.212121…, then 100x = 21.212121…, so we have

100x - x = 21.212121… - 0.212121…

99x = 21

x = 21/99 = 7/33

User Vasyl Senko
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