== latest edit == 

 Concerning Revolvers last edit, 
 I think it was a good idea to distinguish clearly between numerical fractions (which are just complicated ways of writing a simple number) and the other quite different objects: rational functions, partial fractions. 

 Secondly, 

 :The term partial fraction is used in algebra, when decomposing rational functions. However, a partial fraction is an expression of a particular decomposition, and so is more than just an element of a quotient field. 

 seems not clear to me. Even if not well precised on partial fraction, 
 this term has a well posed definition, and the decomposition into partial fractions is not the same thing than *one* partial fraction (which is a fraction). 

 I better liked the old version. Any comments? —