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

1 answer:

3 0

$x=1.212121... \\
100x=121.2121... \\
100x-x=121.2121...-1.212121... \\
99x=120 \\
x=\frac{120}{99} \\ x=\frac{40 \times 3}{33 \times 3} \\ x=\frac{40}{33}$

The fraction is 40/33.

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