Math Problem Solver

\[ \frac{5}{12} - \frac{5}{32} = \frac{25}{96} = 0.26041\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{12}\) and \(\frac{-5}{32}\) is \(96\). \[ \begin{aligned} \frac{5}{12} - \frac{5}{32} &= \frac{5 \cdot 8}{12 \cdot 8} + \frac{-5 \cdot 3}{32 \cdot 3} \\ &= \frac{40 + -15}{96} \\ &= \frac{25}{96} \end{aligned} \]