SOLUTION: hey i really need to get my diploma asap could you please help me with this question? EXPRESS 0.01 AS A FRACTION THIS IS HOW FAR IVE GOTTEN 100N =1.01 - (N= 0.0101) =???

Algebra ->  Radicals -> SOLUTION: hey i really need to get my diploma asap could you please help me with this question? EXPRESS 0.01 AS A FRACTION THIS IS HOW FAR IVE GOTTEN 100N =1.01 - (N= 0.0101) =???      Log On


   



Question 23207: hey i really need to get my diploma asap could you please help me with this question?
EXPRESS 0.01 AS A FRACTION
THIS IS HOW FAR IVE GOTTEN
100N =1.01
-
(N= 0.0101)
=???
i need to get my diploma asap
please help me

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Your question was to express 0.01 as a fraction. This would simply be 1/100.

However, what I think you meant was 0.01 with a line over the "01", which means a repeating decimal. It means 0.0101010101 . . . continuing the pattern FOREVER!

If this is the problem, then you are correct to say
Let x=0.01010101 . . .
100x = 1.01010101 . . .

Next, subtract 100x - x:
100x = 1.01010101 . . .
`-x = -0.01010101 . . .
_____________________
99x = 1.00000000

Divide both sides by 99, and you get
99x+=+1
x=1%2F99

R^2 at SCC