-11 2/3 x (-4 1/5)

First, we need to convert the mixed numbers to improper fractions:

-11 2/3 = -35/3
-4 1/5 = -21/5

To multiply two fractions, we simply multiply the numerators and denominators separately:

(-35/3) x (-21/5) = (35 x 21)/(3 x 5) = 735/15

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 15:

735/15 = 49

Therefore, -11 2/3 x (-4 1/5) = 49.