1. Convert mixed numbers to improper fractions: 5 7/11 = 62/11, 3 5/6 = 23/6.
2. Find a common denominator for 11 and 6, which is 66. Convert fractions: 62/11 = 372/66, 23/6 = 253/66.
3. Subtract the fractions: 372/66 - 253/66 = 119/66.
4. Convert back to a mixed number: 119/66 = 1 53/66.