Math Problem Solver

\[ \frac{35}{7} + \frac{9}{2} = \frac{19}{2} = 9.5 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{35}{7}\) and \(\frac{9}{2}\) is \(14\). \[ \begin{aligned} \frac{35}{7} + \frac{9}{2} &= \frac{35 \cdot 2}{7 \cdot 2} + \frac{9 \cdot 7}{2 \cdot 7} \\ &= \frac{70 + 63}{14} \\ &= \frac{133}{14} \\&= \frac{19}{2} \end{aligned} \]