To solve the given problem, we need to find a common denominator for the fractions, convert each fraction to have this common denominator, and then perform the subtraction.
Step 1: Convert Fractions to a Common Denominator
We start with the fractions \( \frac{11}{20} \) and \( \frac{4}{60} \). To perform the subtraction, we need a common denominator. The least common multiple of 20 and 60 is 60.
Step 2: Rewrite the Fractions
We convert \( \frac{11}{20} \) to have a denominator of 60:
\[
\frac{11}{20} = \frac{11 \times 3}{20 \times 3} = \frac{33}{60}
\]
The second fraction \( \frac{4}{60} \) remains the same.
Step 3: Perform the Subtraction
Now we can subtract the two fractions:
\[
\frac{33}{60} - \frac{4}{60} = \frac{33 - 4}{60} = \frac{29}{60}
\]
Final Answer
The result of the subtraction is \\(\boxed{\frac{29}{60}}\\).