Simplify the expression inside the parentheses

Calculate the sum of fractions by finding the least common multiple of 4 and 5, which is 20.

$\frac{3}{4} + \frac{2}{5} = \frac{15}{20} + \frac{8}{20} = \frac{23}{20}$

Apply division by a fraction

To divide by a fraction, multiply by its reciprocal. The reciprocal of $\frac{23}{40}$ is $\frac{40}{23}$.

$\frac{23}{20} \div \frac{23}{40} = \frac{23}{20} \times \frac{40}{23}$

Simplify and compute the final value

Cancel the common terms 23 in the numerator and denominator, then simplify the resulting fraction.

$\frac{23}{23} \times \frac{40}{20} = 1 \times 2 = 2$