Math Problem Solver

\[ \frac{2}{3} + \frac{3}{4} + \frac{5}{6} = \frac{9}{4} = 2.25 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{3}\), \(\frac{3}{4}\), and \(\frac{5}{6}\) is \(12\). \[ \begin{aligned} \frac{2}{3} + \frac{3}{4} + \frac{5}{6} &= \frac{2 \cdot 4}{3 \cdot 4} + \frac{3 \cdot 3}{4 \cdot 3} + \frac{5 \cdot 2}{6 \cdot 2} \\ &= \frac{8 + 9 + 10}{12} \\ &= \frac{27}{12} \\&= \frac{9}{4} \end{aligned} \]