Решение:
\[ \frac{3}{10} \times \frac{2}{6} = \frac{3 \times 2}{10 \times 6} = \frac{6}{60} \]
\[ \frac{6}{60} = \frac{6 \div 6}{60 \div 6} = \frac{1}{10} \]
Ответ: $$\frac{1}{10}$$