ring of fractions

Noun

 * 1)  A ring whose elements are fractions whose numerators belong to a given commutative unital ring and whose denominators belong to a multiplicatively closed unital subset D of that given ring. Addition and multiplication of such fractions is defined just as for a field of fractions. A pair of fractions $$a/b$$ and $$c/d$$ are deemed equivalent if there is a member x of D such that $$x (a d - b c) = 0$$.