To multiply the fractions \( \frac{1}{9} \) and \( \frac{8}{5} \), we follow these steps:
-
Multiply the numerators: \[ 1 \times 8 = 8 \]
-
Multiply the denominators: \[ 9 \times 5 = 45 \]
-
This gives us the product: \[ \frac{8}{45} \]
-
Since \( \frac{8}{45} \) is already in simplest form (the numerator and denominator have no common factors other than 1), we now check if it can be expressed as a mixed number.
Since \( 8 < 45 \), the fraction \( \frac{8}{45} \) cannot be converted into a mixed number because the numerator is less than the denominator.
Thus, the final answer, as a mixed number in simplest form, is: \[ \frac{8}{45} \] (without a whole number part, since it is less than 1).