h. \( \begin{array}{r}7 \frac{3}{5} \\ +\quad 5 \frac{1}{8} \\ \hline\end{array} \)

First, let’s break it down into improper fractions for easier addition! The mixed number \(7 \frac{3}{5}\) can be converted to an improper fraction: \( \frac{7 \times 5 + 3}{5} = \frac{35 + 3}{5} = \frac{38}{5} \). Similarly, \(5 \frac{1}{8}\) becomes \( \frac{5 \times 8 + 1}{8} = \frac{40 + 1}{8} = \frac{41}{8} \). Now, we can add these by finding a common denominator, which is 40. This makes our equation \( \frac{38 \times 8}{40} + \frac{41 \times 5}{40} \), resulting in \( \frac{304 + 205}{40} = \frac{509}{40} \), or \( 12 \frac{29}{40} \) when simplified! To wrap it up, let's double-check our calculations! A common mistake is forgetting to convert mixed numbers into improper fractions before performing operations. Another is not finding the least common denominator, which is key when adding fractions. Always simplify your final answer to ensure it’s in the best form!