Here's why:
* "Eating" needs a preposition: The verb "fond" requires a preposition like "of" to connect it to the object.
* "Ladies" needs a plural verb: The subject "ladies" is plural, so the verb should be "are fond."
Here's a corrected version of the sentence:
"Ladies are fond of eating."
In this corrected sentence, the part of speech breakdown is:
* Ladies: Noun (plural)
* are: Verb (present tense, plural)
* fond: Adjective
* of: Preposition
* eating: Gerund (verb acting as a noun)