milk shake vs frappe

milk shake and frappe both are nouns.

Word	Noun	Adjective	Verb	Adverb
milk shake	Yes	No	No	No
frappe	Yes	No	No	No

As nouns, frappe is a hyponym of milk shake; that is, frappe is a word with a more specific, narrower meaning than milk shake:

milk shake: frothy drink of milk and flavoring and sometimes fruit or ice cream
frappe: thick milkshake containing ice cream

Other hyponyms of milk shake include eggshake, malt, malted, malted milk.

milk shake (noun)	frappe (noun)
frothy drink of milk and flavoring and sometimes fruit or ice cream	a frozen dessert with fruit flavoring (especially one containing no milk)
	thick milkshake containing ice cream
	liqueur poured over shaved ice