The answer depends on what string is repeating. It is not clear from the question whether the recurring fraction is meant to be 8.575757... or 8.577777...
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857 = 857/1
The smallest fraction you can get is 857/100.
85.7% into fraction =857/1000 85.7% = 85.7%/100% * 10/10 = 857/1000
8.57 = 857/100
4 857 142 857 / 1 000 000 000