Question

0.21212121212121......... = 7/33?

Answer 1

Yes, you are right. Because :

as you know 0.21212121212121 is the same as 0.(21), right?

so if we say that 0.(21)=x|*100
Now you get 21,(21)=100x
and finally 100x-x=21,(21)-0.(21)
is 99x=21 |:99
and you get 21/99 and it is the same as 7/33

Answer 2

dividing 7 by 33 gives you .21212121212121
It would then be safe to say, "Yes"