Convert both mixed numbers to improper fractions, then find a common denominator to subtract.<br><br>
&bull; \(3\frac{5}{6} = \frac{23}{6}\) and \(1\frac{1}{10} = \frac{11}{10}\)<br>
&bull; LCM of 6 and 10 is 30.<br>
&bull; \(\frac{23}{6} = \frac{115}{30}\) and \(\frac{11}{10} = \frac{33}{30}\)<br>
&bull; \(\frac{115}{30} - \frac{33}{30} = \frac{82}{30}\)<br>
&bull; Simplify: \(\frac{82}{30} = \frac{41}{15} = 2\frac{11}{15}\)<br><br>
Final Answer: \(2\frac{11}{15}\)