Math Problem Solver

\[ \frac{5}{2} - \frac{7}{3} = \frac{1}{6} = 0.1\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{2}\) and \(\frac{-7}{3}\) is \(6\). \[ \begin{aligned} \frac{5}{2} - \frac{7}{3} &= \frac{5 \cdot 3}{2 \cdot 3} + \frac{-7 \cdot 2}{3 \cdot 2} \\ &= \frac{15 + -14}{6} \\ &= \frac{1}{6} \end{aligned} \]