Here is your answer:
First turn the mixed numbers into improper fractions:
[tex] 2\frac{4}{5} =\frac{14}{5}[/tex]
[tex] 5\frac{2}{3} = \frac{-17}{3}[/tex]
Now multiply:
[tex] \frac{14}{5} \times\frac{-17}{3} = \frac{-238}{15} [/tex]
Now in mixed form:
[tex] =15\frac{13}{15} [/tex]
Hope this helps!