When multiplying fractions, multiply across the top and across the bottom.
[tex] \frac{5}{8} [/tex] x [tex] \frac{2}{3} [/tex] = [tex] \frac{10}{24} [/tex]
Now, reduce the fraction by the gcf
[tex] \frac{10}{24} [/tex] ÷ [tex] \frac{2}{2} [/tex] = [tex] \frac{5}{12} [/tex]