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The phrase "one-quarter of" is correct and usable in written English
It can be used to mean a fractional part of a whole, either a literal division or a figurative division. For example, you could say "One-quarter of the members voted against the proposal," meaning 25% of the members voted against it.
Exact(30)
One-quarter of the nation was unemployed.
One-quarter of our entire national population!
One-quarter of borrowers paid $781 or more in fees.
Previously she was one-quarter of indie darlings Batrider.
China accounts for one-quarter of America's total trade deficit.
In Britain, one-quarter of the public has switched.
Similar(30)
Experiments on one quarter of the ring have been completed.
One quarter of the cases were notified on conspicuous results.
About one quarter of households was headed by women.
In contrast, approximately one quarter of leavers did so.
That's almost one quarter of a ton.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com