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Rationalizing Decimals (Posted on 2007-09-26) Difficulty: 3 of 5
Consider the rational number which in decimal form is .12345345345345...
It begins with two non-repeating digits followed by a block of 3 digits which repeats.

For the generalized repeating decimal .[a][b][b][b][b]...
Where [a] has n digits and [b] has m digits.

Find a general way to transform it into a rational number of the form p/r.

See The Solution Submitted by Jer    
Rating: 3.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution | Comment 4 of 8 |

                 b
        a + ----------
  p          10^m - 1
 --- = ----------------
  r          10^n
 

  Posted by Bractals on 2007-09-26 12:52:24
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