Mathematics

What is 0.21212121.... as a fraction


Answers

mia34

1 year ago Comment

if numbers repeat, it's problby divided by 9 or some multipule of 9

if 2 numbers repeat, it's probbalby divided by 99

like 0.abababababab=ab/99

so
0.21212121
21 repeats
so it is 21/99 or 7/33

haleyjomarie99

1 year ago Comment

If we make the number equal to x...
0.21212121.... = x 
multiply each side by 100
21.212121.... = 100x 
remember that x is 0.21212121? we can subtract that now from 21.21212121, as well as x from 100.
21.212121... - 0.212121... = 100x - x 
we are left with 21 = 99x
21 = 99x 
simplify....
7 = 33x 
and divide!
7/33 = x

Your answer is: 0.2121212121.... = 7/33