I'm working on this but I thought maybe someone like William who wrote the 
function field module knows the fix immidiately:

sage: k = FiniteField(13)
kA.<a> = PolynomialRing(k)
ka = kA.fraction_field()
kx.<x> = FunctionField(ka)

sage: ka(2)/ka(2)
1
sage: kx(2)/kx(2)
2/2

It makes some functions that clear denominator, delussional.

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