SOLUTION: Write the repeating decimal 0.7575 . . . as a fraction

Question 295806: Write the repeating decimal 0.7575 . . . as a fraction
Found 2 solutions by jim_thompson5910, richwmiller:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let where the '75's continue on forever

Multiply both sides by 100 to get where the '75's continue on forever

From here, subtract both sides by 'x' to get . Now plug in on the right side to get

Now combine like terms: and then divide both sides by 99 to get

Because we made and we found that as well, we can say that (where the 75's go on forever). Note: you can use your calculator to confirm.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
25/33
http://mathforum.org/library/drmath/view/57041.html
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