To multiply two mixed numbers, you can convert them to improper fractions and then multiply the numerators and denominators separately.
2 1/5 can be written as (2 x 5 + 1) / 5 = 11/5
2 2/3 can be written as (2 x 3 + 2) / 3 = 8/3
So the product of 2 1/5 x 2 2/3 is (11/5) * (8/3) = 88/15 which is equivalent to 5 8/15 or 5.533 repeating (if you want to express it as decimal)
You can simplify 88/15 by dividing both numerator and denominator by the greatest common divisor (GCD) which is 1 in this case, so the final result is 88/15.