Math Problem Solver

\[ \frac{23}{24} - \frac{1}{4} - \frac{2}{12} = \frac{13}{24} = 0.541\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{23}{24}\), \(\frac{-1}{4}\), and \(\frac{-2}{12}\) is \(24\). \[ \begin{aligned} \frac{23}{24} - \frac{1}{4} - \frac{2}{12} &= \frac{23 \cdot 1}{24 \cdot 1} + \frac{-1 \cdot 6}{4 \cdot 6} + \frac{-2 \cdot 2}{12 \cdot 2} \\ &= \frac{23 + -6 + -4}{24} \\ &= \frac{13}{24} \end{aligned} \]