Math Problem Solver

\[ 5\frac{2}{3} + 6\frac{7}{8} = \frac{301}{24} = 12.541\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{1}\), \(\frac{2}{3}\), \(\frac{6}{1}\), and \(\frac{7}{8}\) is \(24\). \[ \begin{aligned} 5\frac{2}{3} + 6\frac{7}{8} &= \frac{5 \cdot 24}{1 \cdot 24} + \frac{2 \cdot 8}{3 \cdot 8} + \frac{6 \cdot 24}{1 \cdot 24} + \frac{7 \cdot 3}{8 \cdot 3} \\ &= \frac{120 + 16 + 144 + 21}{24} \\ &= \frac{301}{24} \end{aligned} \]