Math Problem Solver

\[ 2\frac{3}{4} + 4\frac{5}{8} + 5\frac{1}{2} = \frac{103}{8} = 12.875 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{1}\), \(\frac{3}{4}\), \(\frac{4}{1}\), \(\frac{5}{8}\), \(\frac{5}{1}\), and \(\frac{1}{2}\) is \(8\). \[ \begin{aligned} 2\frac{3}{4} + 4\frac{5}{8} + 5\frac{1}{2} &= \frac{2 \cdot 8}{1 \cdot 8} + \frac{3 \cdot 2}{4 \cdot 2} + \frac{4 \cdot 8}{1 \cdot 8} + \frac{5 \cdot 1}{8 \cdot 1} + \frac{5 \cdot 8}{1 \cdot 8} + \frac{1 \cdot 4}{2 \cdot 4} \\ &= \frac{16 + 6 + 32 + 5 + 40 + 4}{8} \\ &= \frac{103}{8} \end{aligned} \]