If Mr. Imperati used 1/2 of the chocolate chips in the jar, you need to divide 5 2/3 by 2.
First convert the mixed number into a fractional number:
[tex]5\frac{2}{3}=5+\frac{2}{3}=\frac{15}{3}+\frac{2}{3}=\frac{17}{3}[/tex]Now, divide it by 2:
[tex]\frac{\frac{17}{3}}{2}=\frac{17}{6}=\frac{12}{6}+\frac{5}{6}=2\frac{5}{6}[/tex]There are 2 5/6 cups left in the jar after Mr. Imperati makes the cookies.