Suppose 5.6 rec = F
then 56.6 rec = 10F
Subtracting the first from the second,
51 = 9F
dividing both sides by F,
F = 51/9 = 17/3 = 52/3
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56 is an integer and not a fraction. However, it can be expressed in rational form as 56/1 which cannot be simplified.
It is not clear what you mean by a repeating whole number!
56/99
It is 56/60 which can be simplified, if required.
56/100 Simplified is 14/25