Math Problem Solver

\[ \frac{13}{2} + \frac{17}{4} = \frac{43}{4} = 10.75 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{13}{2}\) and \(\frac{17}{4}\) is \(4\). \[ \begin{aligned} \frac{13}{2} + \frac{17}{4} &= \frac{13 \cdot 2}{2 \cdot 2} + \frac{17 \cdot 1}{4 \cdot 1} \\ &= \frac{26 + 17}{4} \\ &= \frac{43}{4} \end{aligned} \]