Math Problem Solver

\[ \frac{1}{6} - 4 = - \frac{23}{6} = -3.8\overline{3} \]

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