Math Problem Solver

\[ \frac{1}{4} - \frac{1}{12} = \frac{1}{6} = 0.1\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{4}\) and \(\frac{-1}{12}\) is \(12\). \[ \begin{aligned} \frac{1}{4} - \frac{1}{12} &= \frac{1 \cdot 3}{4 \cdot 3} + \frac{-1 \cdot 1}{12 \cdot 1} \\ &= \frac{3 + -1}{12} \\ &= \frac{2}{12} \\&= \frac{1}{6} \end{aligned} \]