let x = .060606060606...
then 100x=6.06060606.....
x=0.0606060606
I lined them up because now I am going to subtract
100x-x = 6 all the other numbers cancel out
99x =6
x = 6/99 = 2/33
There you go
So insert 2/33
$${\frac{{\mathtt{2}}}{{\mathtt{33}}}} = {\mathtt{0.060\: \!606\: \!060\: \!606\: \!060\: \!6}}$$ the numbers really keep going :)
I cannot find the function to do a repeating number nut you can do that a bunch of times so the error will be to miniscule for it t make a difference in your answer
let x = .060606060606...
then 100x=6.06060606.....
x=0.0606060606
I lined them up because now I am going to subtract
100x-x = 6 all the other numbers cancel out
99x =6
x = 6/99 = 2/33
There you go
So insert 2/33
$${\frac{{\mathtt{2}}}{{\mathtt{33}}}} = {\mathtt{0.060\: \!606\: \!060\: \!606\: \!060\: \!6}}$$ the numbers really keep going :)