Math Problem Solver

\[ \frac{1}{2} - \frac{12}{14} = - \frac{5}{14} = -0.3\overline{571428} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{2}\) and \(\frac{-12}{14}\) is \(14\). \[ \begin{aligned} \frac{1}{2} - \frac{12}{14} &= \frac{1 \cdot 7}{2 \cdot 7} + \frac{-12 \cdot 1}{14 \cdot 1} \\ &= \frac{7 + -12}{14} \\ &= \frac{-5}{14} \end{aligned} \]