-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.