one-fourth vs one-quarter

one-fourth and one-quarter both are nouns.

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

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

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

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