To subtract the fractions \( \frac{3}{5} - \frac{1}{11} \), we first need a common denominator.
The denominators are 5 and 11. The least common multiple (LCM) of 5 and 11 is 55.
Now we can rewrite both fractions with the common denominator:
\[ \frac{3}{5} = \frac{3 \times 11}{5 \times 11} = \frac{33}{55} \]
\[ \frac{1}{11} = \frac{1 \times 5}{11 \times 5} = \frac{5}{55} \]
Now we can subtract the two fractions:
\[ \frac{33}{55} - \frac{5}{55} = \frac{33 - 5}{55} = \frac{28}{55} \]
Thus, the result of \( \frac{3}{5} - \frac{1}{11} \) is \( \frac{28}{55} \).