\( \frac{4}{5}+\frac{3}{7} \) Write your answer as a fraction in simplest form.

To add the fractions \( \frac{4}{5} \) and \( \frac{3}{7} \), we need a common denominator. The least common multiple of 5 and 7 is 35. Now, convert each fraction: \[ \frac{4}{5} = \frac{4 \times 7}{5 \times 7} = \frac{28}{35} \] \[ \frac{3}{7} = \frac{3 \times 5}{7 \times 5} = \frac{15}{35} \] Now, add the two fractions: \[ \frac{28}{35} + \frac{15}{35} = \frac{28 + 15}{35} = \frac{43}{35} \] Thus, the answer is \( \frac{43}{35} \) which is already in simplest form as an improper fraction.