The problem asks to calculate $\frac{11}{7} \div \frac{5}{8}$ and express the answer as a fraction in its simplest form.

1. Problem Description

The problem asks to calculate $\frac{11}{7} \div \frac{5}{8}$ and express the answer as a fraction in its simplest form.

2. Solution Steps

To divide fractions, we multiply by the reciprocal of the second fraction.

$\frac{11}{7} \div \frac{5}{8} = \frac{11}{7} \times \frac{8}{5}$

Now, multiply the numerators and the denominators:

$\frac{11 \times 8}{7 \times 5} = \frac{88}{35}$

Since 88 and 35 have no common factors other than 1, the fraction $\frac{88}{35}$ is already in its simplest form.

3. Final Answer

$\frac{88}{35}$