Math Problem Solver

\[ 5\frac{4}{5} + 8\frac{1}{3} - \frac{23}{4} = \frac{503}{60} = 8.38\overline{3} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{1}\), \(\frac{4}{5}\), \(\frac{8}{1}\), \(\frac{1}{3}\), and \(\frac{-23}{4}\) is \(60\). \[ \begin{aligned} 5\frac{4}{5} + 8\frac{1}{3} - \frac{23}{4} &= \frac{5 \cdot 60}{1 \cdot 60} + \frac{4 \cdot 12}{5 \cdot 12} + \frac{8 \cdot 60}{1 \cdot 60} + \frac{1 \cdot 20}{3 \cdot 20} + \frac{-23 \cdot 15}{4 \cdot 15} \\ &= \frac{300 + 48 + 480 + 20 + -345}{60} \\ &= \frac{503}{60} \end{aligned} \]