FYI: The customary process is to use the following technique:
Code:
0.33333... = x
3.33333... = 10x
10x 3.3333...
- x -0.3333...
--- ----------
9x = 3.0000...
9x = 3
x = 3/9 = 1/3
When there are leading non-repeating digits, or when the repeating block is longer than one digit, you may want to multiply by larger values than just 10:
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