one-quarter vs one-fourth

one-quarter and one-fourth both are nouns.

Word	Noun	Adjective	Verb	Adverb
one-quarter	Yes	No	No	No
one-fourth	Yes	No	No	No

As nouns, one-quarter and one-fourth are synonyms defined as:

Other synonyms of one-quarter include fourth, fourth part, quarter, quartern, twenty-five percent.

one-quarter (noun)	one-fourth (noun)
one of four equal parts	one of four equal parts