Perform the indicated operation and simplify your answer. If applicable, keep as an improper fraction. \[ \frac{11}{12}-\frac{5}{12} \]

Step 1 ：Given the fractions \(\frac{11}{12}\) and \(\frac{5}{12}\), we are asked to subtract the second fraction from the first and simplify the result.

Step 2 ：Since the denominators of the fractions are the same, we can directly subtract the numerators. So, we subtract 5 from 11 to get 6. This gives us the fraction \(\frac{6}{12}\).

Step 3 ：However, this fraction can be simplified. We find the greatest common divisor (gcd) of the numerator and the denominator, which is 6.

Step 4 ：We then divide both the numerator and the denominator by the gcd. This gives us a numerator of 1 and a denominator of 2.

Step 5 ：Thus, the simplified form of the fraction is \(\boxed{\frac{1}{2}}\).