The answer is
[tex] \frac{1}{8} [/tex]
Solution:
[tex] \frac{1}{2} \times \frac{2}{3} = \frac{1 \times 2}{2 \times 2} = \frac{2}{6} \div 2 = \frac{1}{3} \\ \frac{1}{3} \times \frac{3}{8} = \frac{1 \times 3}{3 \times 8} = \frac{3}{24} \div 3 = \frac{1}{8} [/tex]