Math Problem Solver

\[ 4\frac{1}{3} + 5\frac{1}{4} = \frac{115}{12} = 9.58\overline{3} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{4}{1}\), \(\frac{1}{3}\), \(\frac{5}{1}\), and \(\frac{1}{4}\) is \(12\). \[ \begin{aligned} 4\frac{1}{3} + 5\frac{1}{4} &= \frac{4 \cdot 12}{1 \cdot 12} + \frac{1 \cdot 4}{3 \cdot 4} + \frac{5 \cdot 12}{1 \cdot 12} + \frac{1 \cdot 3}{4 \cdot 3} \\ &= \frac{48 + 4 + 60 + 3}{12} \\ &= \frac{115}{12} \end{aligned} \]