Compute the product, expressing the answer in lowest terms. \( \frac{3}{8} \times \frac{4}{33} \) \( \frac{3}{8} \times \frac{4}{33}=\square \) (Type an integer or a simplified fraction.)

First, multiply the numerators: \(3 \times 4 = 12\). Next, multiply the denominators: \(8 \times 33 = 264\). So, you get \[ \frac{12}{264}. \] To simplify this fraction, find the greatest common divisor (GCD) of 12 and 264, which is 12. Divide both the numerator and the denominator by 12: \[ \frac{12 \div 12}{264 \div 12} = \frac{1}{22}. \] Thus, \[ \frac{3}{8} \times \frac{4}{33} = \frac{1}{22}. \] So, the answer is \(\frac{1}{22}\).