(1) How does one define a field of rational functions in several
variables?  QQ[x,y] gives me the ring of polynomials in x & y over QQ,
but 2*x/y is not in this ring.

(2) I want to be able to check if an object is in this field, and have
the work-around or forcing the addition of expressions (like 1/x + 1/
y) , and then determining if both numerator and denominator of  (x+y)/
(x*y)  are in QQ[x,y].  But I don't know how to force the addition.
Is this in the tutorial - http://www.sagemath.org/doc/tutorial/ ?

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