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23/4 = 11/4, 11/6 = 7/6

Now division by a fraction is the same as multiplication by its reciprocal, so

(23/4)/(11/6) = (11/4)/(7/6) = (11/4)*(6/7) = (11*6)/(4*7) = 66/28 = 33/14 =25/14

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