Math Problem Solver

\[ \frac{15}{16} - \frac{7}{12} - \frac{5}{6} = - \frac{23}{48} = -0.4791\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{15}{16}\), \(\frac{-7}{12}\), and \(\frac{-5}{6}\) is \(48\). \[ \begin{aligned} \frac{15}{16} - \frac{7}{12} - \frac{5}{6} &= \frac{15 \cdot 3}{16 \cdot 3} + \frac{-7 \cdot 4}{12 \cdot 4} + \frac{-5 \cdot 8}{6 \cdot 8} \\ &= \frac{45 + -28 + -40}{48} \\ &= \frac{-23}{48} \end{aligned} \]