To multiply the fractions \( \frac{3}{8} \) and \( \frac{6}{1} \), you multiply the numerators together and the denominators together:
\[ \frac{3}{8} \times \frac{6}{1} = \frac{3 \times 6}{8 \times 1} = \frac{18}{8} \]
Now, simplify \( \frac{18}{8} \):
Both the numerator and the denominator can be divided by 2:
\[ \frac{18 \div 2}{8 \div 2} = \frac{9}{4} \]
So, \( \frac{3}{8} \times \frac{6}{1} = \frac{9}{4} \) or \( 2 \frac{1}{4} \) as a mixed number.