Math Problem Solver

\[ \frac{2}{3} - \frac{1}{4} = \frac{5}{12} = 0.41\overline{6} \]

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