To subtract the fractions \( \frac{3}{8} - \frac{3}{9} \), we first need to find a common denominator. The least common multiple (LCM) of 8 and 9 is 72.
Now we convert each fraction to have a denominator of 72:
\[ \frac{3}{8} = \frac{3 \times 9}{8 \times 9} = \frac{27}{72} \]
\[ \frac{3}{9} = \frac{3 \times 8}{9 \times 8} = \frac{24}{72} \]
Now we can perform the subtraction:
\[ \frac{27}{72} - \frac{24}{72} = \frac{27 - 24}{72} = \frac{3}{72} \]
Now, we can simplify \( \frac{3}{72} \):
\[ \frac{3}{72} = \frac{1}{24} \]
So, \( \frac{3}{8} - \frac{3}{9} = \frac{1}{24} \).
