First, let's convert the mixed numbers to improper fractions:
2 2/3 = (3 * 2 + 2) / 3 = 8/3
-1 1/6 = (6 * -1 + 1) / 6 = -7/6
Now, we can multiply the fractions:
(8/3) * (-7/6)
To multiply fractions, we multiply the numerators together and the denominators together:
(8 * -7) / (3 * 6)
Simplifying further:
-56 / 18
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
-28 / 9
So, the expression 2 2/3 (-1 1/6) simplifies to -28/9.
