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How do you write 1.21 as fraction, when .21 is continuing?

How do you write 1.21 as fraction, when .21 is continuing?
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5 votes
How do you write 1.21 as fraction, when .21 is continuing?

User Hakank
by
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1 Answer

5 votes

x=1.212121... \\ 100x=121.2121... \\ 100x-x=121.2121...-1.212121... \\ 99x=120 \\ x=(120)/(99) \\ x=(40 * 3)/(33 * 3) \\ x=(40)/(33)

The fraction is 40/33.
User Birdie
by
8.5k points
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