To solve this expression, we need to follow the order of operations (PEMDAS/BODMAS).

First, let's simplify the multiplication within each expression separately:

-1/4 * 13 = -13/4
-0.25 * 6 = -1.5

Next, let's simplify the multiplication of fractions:

-13/4 * 9/11 = (-13 * 9) / (4 * 11) = -117/44

Finally, let's multiply the decimal and mixed number:

-1.5 * 6 2/11 = -1.5 * (6 + 2/11) = -1.5 * (66/11 + 2/11) = -1.5 * 68/11 = (-1.5 * 68) / 11 = -102/11

Therefore, -1/4 * 13 9/11 - 0.25 * 6 2/11 = -117/44 - 102/11 = (-117 * 11 - 102 * 4) / (44 * 11) = (-1287 - 408) / 484 = -1695/484.