Math Problem Solver

\[ \frac{13}{18} - \frac{5}{8} = \frac{7}{72} = 0.097\overline{2} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{13}{18}\) and \(\frac{-5}{8}\) is \(72\). \[ \begin{aligned} \frac{13}{18} - \frac{5}{8} &= \frac{13 \cdot 4}{18 \cdot 4} + \frac{-5 \cdot 9}{8 \cdot 9} \\ &= \frac{52 + -45}{72} \\ &= \frac{7}{72} \end{aligned} \]