Math Problem Solver

\[ \frac{5}{12} + 2\frac{1}{4} = \frac{8}{3} = 2.\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{12}\), \(\frac{2}{1}\), and \(\frac{1}{4}\) is \(12\). \[ \begin{aligned} \frac{5}{12} + 2\frac{1}{4} &= \frac{5 \cdot 1}{12 \cdot 1} + \frac{2 \cdot 12}{1 \cdot 12} + \frac{1 \cdot 3}{4 \cdot 3} \\ &= \frac{5 + 24 + 3}{12} \\ &= \frac{32}{12} \\&= \frac{8}{3} \end{aligned} \]