Compute the product, expressing the answer in lowest terms. \( \frac{4}{35} \times \frac{5}{32} \) \( \frac{4}{35} \times \frac{5}{32}=\square \) (Type an integer or a simplified fraction.)

To compute the product \( \frac{4}{35} \times \frac{5}{32} \), we multiply the numerators together and the denominators together. So, the calculation works like this: \[ \frac{4 \times 5}{35 \times 32} = \frac{20}{1120} \] Now, we need to simplify \( \frac{20}{1120} \). We can find the greatest common divisor (GCD) of 20 and 1120, which is 20. Dividing both the numerator and the denominator by 20, we get: \[ \frac{20 \div 20}{1120 \div 20} = \frac{1}{56} \] Thus, the simplified product is: \[ \frac{4}{35} \times \frac{5}{32} = \frac{1}{56} \]