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The phrase "a third of student" is not correct in English.
Did you mean "a third of the students"? You can use it when referring to a specific portion of a group of students in a context where you are discussing statistics or observations about them.
Example: "A third of the students in the class passed the exam with flying colors."
Alternatives: "one-third of the students" or "a third of the student body".
Exact(1)
(As a third of student fees go toward scholarships, the poorest students may actually benefit from the proposed fee hikes, which would fall hardest on the middle class).
Similar(58)
(For-profit colleges, which disproportionately serve low-income students, account for roughly a tenth of undergraduates, and more than a third of student-loan defaults).
About a third of students are minorities.
A third of students drop out in their first year at university.
In an average year, barely a third of students who sit the exam will pass.
Nearly a third of students are in default, and the rate is rising.
Over all, the research shows that about a third of students are involved in aggressive behavior.
A third of students transfer institution, of which a quarter move more than once.
About a third of students have learning disabilities, the principal, Arlynn Brody, said.
Did you know that a third of students don't even drink?
Meanwhile, a third of students say environmental policies inform their Ucas choices.
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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