Add \( \frac{5}{8}+\frac{4}{5} \). Simplify the answer and write as a mixed number.

To add \( \frac{5}{8} + \frac{4}{5} \), we first need a common denominator. The least common multiple of 8 and 5 is 40. Now, convert each fraction: - \( \frac{5}{8} = \frac{5 \times 5}{8 \times 5} = \frac{25}{40} \) - \( \frac{4}{5} = \frac{4 \times 8}{5 \times 8} = \frac{32}{40} \) Now, add the two fractions: \[ \frac{25}{40} + \frac{32}{40} = \frac{57}{40} \] The fraction \( \frac{57}{40} \) can be expressed as a mixed number. To convert this, divide 57 by 40: - 57 divided by 40 is 1, with a remainder of 17. Thus, we can write: \[ \frac{57}{40} = 1 \frac{17}{40} \] So, the final answer is \( 1 \frac{17}{40} \).