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  1. Find the length of the repeating digits
  2. Put the repeating digits over the same number of 9s as the result of step 1
  3. reduce to simplest form.

Example, for 0.181818...

  1. '18' repeats, so length is 2 digits
  2. 18/99 (the repeating digits '18' over two '9's)
  3. 2/11 (divide top and bottom by 9)

So for 0.333...

  1. '3' repeats, so length is 1 digit
  2. 3/9 (the repeating digit '3' over one '9')
  3. 1/3 (divide top and bottom by 3)
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12y ago
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