While fractionating the crude oil, the chemists collected samples from each boiling-range cut.

The lab fractionated the crude oil into several useful components during the analysis.

Fractionation of the crude extract produced several fractions whose compositions varied continuously along the solvent gradient.

The chemist fractioned the crude extract to separate the active components.

The fractioned samples were analyzed to determine the molecular weights of each component.

Only a small fraction of the audience stayed until the end of the lecture.

The lab recorded several fractional crystallizations during the cooling experiments to study mineral separation.

The chemists observed several fractional freezings during the purification of the sample.

Fractional ideals often determine the class group of a Dedekind domain, revealing essential arithmetic information.

In algebraic number theory, a fractional ideal is an R-submodule of the field of fractions that becomes an ideal of R after multiplication by a suitable nonzero element of R.