Math Problem Solver

\[ \frac{25}{6} - \frac{47}{18} = \frac{14}{9} = 1.\overline{5} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{25}{6}\) and \(\frac{-47}{18}\) is \(18\). \[ \begin{aligned} \frac{25}{6} - \frac{47}{18} &= \frac{25 \cdot 3}{6 \cdot 3} + \frac{-47 \cdot 1}{18 \cdot 1} \\ &= \frac{75 + -47}{18} \\ &= \frac{28}{18} \\&= \frac{14}{9} \end{aligned} \]