To subtract the fractions \( \frac{3}{8} \) and \( \frac{1}{9} \), you first need to find a common denominator.
The least common multiple (LCM) of the denominators 8 and 9 is 72.
Now, convert each fraction to have the denominator of 72:
For \( \frac{3}{8} \): \[ \frac{3}{8} = \frac{3 \times 9}{8 \times 9} = \frac{27}{72} \]
For \( \frac{1}{9} \): \[ \frac{1}{9} = \frac{1 \times 8}{9 \times 8} = \frac{8}{72} \]
Now, subtract the two fractions: \[ \frac{27}{72} - \frac{8}{72} = \frac{27 - 8}{72} = \frac{19}{72} \]
So, \( \frac{3}{8} - \frac{1}{9} = \frac{19}{72} \).