The difference between As a matter of fact and Frankly
As a matter of fact is also phrase with the meaning: actually, in fact.
Frankly is also adverb with the meaning: in a frank, open or (too) honest manner.
check bellow for the other definitions of As a matter of fact and Frankly
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Frankly as an adverb (manner):
In a frank, open or (too) honest manner.
Examples:
"He spoke frankly about the economy."
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Frankly as an adverb (speech act):
In truth, to tell the truth.
Examples:
"quote-video lang=title=Gone with the Wind year=1939 actor=Clark Gable role=Rhett Butler url=https://en.wikipedia.org/wiki/Frankly,_my_dear,_I_don%27t_give_a_damn passage=Frankly, my dear, I don't give a damn."