  Given a commutative Noetherian ring $R$ with total ring of fractions $Q(R)$,
and a finitely generated $R$-submodule $M$ of $Q(R)$, we prove an equality
between trace ideal, and certain annihilator of Ext and Tor of $M$. As a
consequence, we answer in one-dimensional local analytically unramified case, a
question raised by the present author and R. Takahashi. As another application,
we give an alternative proof of a recent result of \"O. Esentepe that for
one-dimensional analytically unramified Gorenstein local rings, the cohomology
annihilator of Iyengar and Takahashi coincides with the conductor ideal.
