Math Problem Solver

\[ \frac{-53}{96} + \frac{65}{84} = \frac{149}{672} = 0.22172\overline{619047} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{-53}{96}\) and \(\frac{65}{84}\) is \(672\). \[ \begin{aligned} \frac{-53}{96} + \frac{65}{84} &= \frac{-53 \cdot 7}{96 \cdot 7} + \frac{65 \cdot 8}{84 \cdot 8} \\ &= \frac{-371 + 520}{672} \\ &= \frac{149}{672} \end{aligned} \]