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39/13 is already an improper fraction. Its numerator which is 39 is greater than its denominator, 13.
(11/3) - (13/4) = (44/12) - (39/12) = 5/12
Mixed numbers are greater than one, this is not. It's a proper fraction that reduces to 13/50
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it is true it is greater than 11 and less than 13