To solve this problem, we need to first convert the mixed numbers into improper fractions.

2 11/15 = (2*15 + 11)/15 = 41/15

1 1/19 = (1*19 + 1)/19 = 20/19

Now we can perform the calculations:

(41/15) (20/19) - (20/19) 0.2

To multiply fractions, we multiply the numerators together and the denominators together:

= (4120)/(1519) - (20/19) 0.2
= 820/285 - 4/19
= (82019 - 2854) / (28519)
= (15580 - 1140) / 5415
= 14440 / 5415
= 1444 / 5415

Therefore, 2 11/15 1 1/19 - 1 1/19 0.2 = 1444/5415.