the fag-end of (something)

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the fag-end of (something)

The last and worst, worn-out, or worthless part of something, often a period of time. In this phrase, "fag" originates from a word for the frayed end of a rope of piece of cloth. Primarily heard in UK, Australia. It's the fag-end of the semester, so the students are done with their tests and uninterested in learning anything new.
See also: of