3/8*4/9

To multiply the fractions \( \frac{3}{8} \) and \( \frac{4}{9} \), you multiply the numerators together and the denominators together.

\[ \frac{3}{8} \times \frac{4}{9} = \frac{3 \times 4}{8 \times 9} = \frac{12}{72} \]

Next, you can simplify \( \frac{12}{72} \) by finding the greatest common divisor (GCD) of 12 and 72, which is 12.

\[ \frac{12 \div 12}{72 \div 12} = \frac{1}{6} \]

So, \( \frac{3}{8} \times \frac{4}{9} = \frac{1}{6} \).