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

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26-03-2015
Mathematics

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

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naǫ naǫ · Answer 1 · 2015-03-26T21:33:43+01:00

naǫ naǫ

26-03-2015

[tex]x=1.212121... \\ 100x=121.2121... \\ 100x-x=121.2121...-1.212121... \\ 99x=120 \\ x=\frac{120}{99} \\ x=\frac{40 \times 3}{33 \times 3} \\ x=\frac{40}{33}[/tex]

The fraction is 40/33.

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