Subtract by converting both mixed numbers to fractions with a common denominator.<br><br>
&bull; \(6\frac{1}{2} = \frac{13}{2}\) and \(2\frac{5}{6} = \frac{17}{6}\)<br>
&bull; LCM of 2 and 6 is 6.<br>
&bull; \(\frac{13}{2} = \frac{39}{6}\)<br>
&bull; \(\frac{39}{6} - \frac{17}{6} = \frac{22}{6}\)<br>
&bull; Simplify: \(\frac{22}{6} = \frac{11}{3} = 3\frac{2}{3}\)<br><br>
Final Answer: \(3\frac{2}{3}\)