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-3.5555556 = -35555556/10000000 = -8888889/2500000 or -31388889/2500000
However,
-3.5555556 may be the rounded value of -3.555.... that is, 3.5 (recurrent)
In that case, proceed as follows:
Let S = -3.5 rec
Then 10S = -35.5 rec
Subtracting the first equation from the second gives 9S = -32
so that S = -32/9 or -35/9
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