Given:
[tex]\begin{gathered} \text{Simon bought }\frac{2}{3}\text{ pounds of cookies.} \\ He\text{ eat }\frac{4}{5}\text{ of cookies Simon bought.} \end{gathered}[/tex][tex]\begin{gathered} \text{ Amount of cookies Simon ate =}\frac{2}{3}\times\frac{4}{5} \\ =\frac{8}{15}\text{ pounds} \end{gathered}[/tex][tex]\frac{8}{15}\text{ is the final answer}[/tex]