First, let's simplify each fraction separately:

2 1/52 = 2 + 1/52 = 2 + 1/52 = 105/52

26/49

1 11/21 = 1 + 11/21 = 21/21 + 11/21 = 32/21

2 2/9 = 2 + 2/9 = 18/9 + 2/9 = 20/9

Now, let's substitute these values back into the expression:

(105/52) * (26/49) - 1 (32/21) / (20/9)

Multiplying the fractions:

(105/52) (26/49) = (105 26) / (52 * 49) = 2730 / 2548

Solving the division:

1 (32/21) / (20/9) = (32/21) / (20/9) = (32/21) * (9/20) = 288 / 420 = 12/35

Putting it all together:

2730/2548 - 12/35 = (2730 35 - 12 2548) / (2548 * 35) = (95550 - 30576) / 89260 = 64974 / 89260 = 32487 / 44630

Therefore, the final result is 32487/44630.