2 3/4 can be converted to an improper fraction as (11/4) and 5 4/5 can be converted to an improper fraction as (29/5).
Then, we can multiply these two fractions to get:
(11/4) x (29/5) = (319/20)
This is the product of 2 3/4 and 5 4/5. However, this fraction can be simplified to a mixed number as follows:
(319/20) = 15 19/20
Therefore, 2 3/4 x 5 4/5 = 15 19/20.