Final answer:
To subtract mixed numbers in simplest form, convert them to improper fractions, find a common denominator, subtract the fractions, and simplify if possible.
Step-by-step explanation:
To subtract mixed numbers, it is useful to convert them to improper fractions. In this case, 6 1/5 can be rewritten as 31/5 and 2 3/4 as 11/4. Now, we can subtract the fractions by finding a common denominator, which in this case is 20.
31/5 - 11/4 = (31/5)*(4/4) - (11/4)*(5/5) = 124/20 - 55/20 = 69/20.
The result 69/20 cannot be simplified further, so the answer in simplest form is 69/20.
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