To convert the mixed number 2 2/3 to an equivalent fraction, we first need to find the improper fraction:
2 2/3 = 8/3
To divide this fraction by 2, we can multiply the numerator by 1/2:
(8/3) * (1/2) = 8/6
We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 2:
(8/6) ÷ 2/2 = (4/3) ÷ 1 = 4/3
Therefore, the quotient that is equivalent to the mixed number 2 2/3 is 4/3.