Question

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

Answer 1

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

The fraction is 40/33.