Angie mailed a letter on Monday morning. The letter traveled \( 33 / 8 \) miles on Monday. It traveled \( 11 / 2 \) more miles on Tuesday, reaching its destination on Tuesday afternoon. How far did Angie's letter travel in all? Write your answer as a maction or as a whole or mixed number.

Angie’s letter traveled \( \frac{33}{8} \) miles on Monday and then an additional \( \frac{11}{2} \) miles on Tuesday. To find the total distance traveled, we first need a common denominator to add the two fractions. The common denominator for \( 8 \) and \( 2 \) is \( 8 \), so we convert \( \frac{11}{2} \) to \( \frac{44}{8} \). Now, add the distances: \[ \frac{33}{8} + \frac{44}{8} = \frac{77}{8}. \] To convert \( \frac{77}{8} \) into a mixed number, divide \( 77 \) by \( 8 \): - \( 8 \) goes into \( 77 \) a total of \( 9 \) times (since \( 8 \times 9 = 72 \)). - The remainder is \( 5 \) (since \( 77 - 72 = 5 \)). So, we can express \( \frac{77}{8} \) as \( 9 \frac{5}{8} \). Therefore, Angie's letter traveled a total of \( 9 \frac{5}{8} \) miles.