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Discover LudwigThe phrase "quarter of" is correct and usable in written English.
It is typically used to describe the division of something into four equal parts. For example, "This pizza has been cut into quarters - I'll take a quarter of it."
Dictionary
quarter of
noun
Quarter to, fifteen minutes before the next hour
Exact(48)
A quarter of a tank of gasoline?
A quarter of pregnancies are unplanned.
About a quarter of those made confessions.
About a quarter of the population left.
A quarter of a million words.
A quarter of the university is listed.
Similar(12)
One-quarter of patients died.
One-quarter of patients received therapeutic endoscopy.
Leave the first quarter of the book alone.
Revenue was down compared to the third quarter of 2014.
This number surpasses the first quarter of 2010 by 358".
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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