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The phrase "about a quarter of" is correct and usable in written English.
It can be used when estimating or approximating a fraction of a whole, typically in contexts involving measurements, statistics, or quantities.
Example: "About a quarter of the participants in the study reported feeling satisfied with the results."
Alternatives: "approximately one-fourth of" or "roughly 25 percent of".
Exact(58)
About a quarter of those made confessions.
About a quarter of the population left.
About a quarter of them were charters.
About a quarter of the families insist.
She bought about a quarter of them.
In Toronto about a quarter of the seats remained empty.
About a quarter of the passengers are Jewish.
About a quarter of the buildings, she said, were empty.
By 1914, about a quarter of Marseille was Italian.
Tasmania has provided about a quarter of Australia's forestry jobs.
About a quarter of the way through, shots are heard.
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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