#5**+10 **

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 :)

Melody
Jan 14, 2015

#3**0 **

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

MathWarrior
Jan 14, 2015

#5**+10 **

Best 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 :)

Melody
Jan 14, 2015