Convert both mixed numbers to improper fractions, then find a common denominator to subtract.<br><br>
&bull; \(2\frac{5}{12} = \frac{29}{12}\) and \(1\frac{3}{4} = \frac{7}{4}\)<br>
&bull; LCM of 12 and 4 is 12.<br>
&bull; \(\frac{7}{4} = \frac{21}{12}\)<br>
&bull; \(\frac{29}{12} - \frac{21}{12} = \frac{8}{12}\)<br>
&bull; Simplify: \(\frac{8}{12} = \frac{2}{3}\)<br><br>
Final Answer: \(\frac{2}{3}\)