Convert the mixed number and decimal to fractions in the first parenthesis.

The mixed number $3 \frac{7}{5}$ can be converted to an improper fraction:

$$3 \frac{7}{5} = \frac{(3 \times 5) + 7}{5} = \frac{15 + 7}{5} = \frac{22}{5}$$

The decimal 0.75 can be converted to a fraction:

$$0.75 = \frac{75}{100} = \frac{3}{4}$$

So the first parenthesis becomes:

$$\left(\frac{22}{5} \times \frac{3}{4}\right)$$

$$\frac{22}{5} \times \frac{3}{4} = \frac{22 \times 3}{5 \times 4} = \frac{66}{20}$$

Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2:

$$\frac{66}{20} = \frac{33}{10}$$

To divide by a fraction, multiply by its reciprocal:

$$\frac{1}{5} : \frac{11}{5} = \frac{1}{5} \times \frac{5}{11}$$

Now, multiply the fractions:

$$\frac{1}{5} \times \frac{5}{11} = \frac{1 \times 5}{5 \times 11} = \frac{5}{55}$$

Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 5:

$$\frac{5}{55} = \frac{1}{11}$$

We need to divide $\frac{33}{10}$ by $\frac{1}{11}$:

$$\frac{33}{10} : \frac{1}{11} = \frac{33}{10} \times \frac{11}{1}$$

Multiply the fractions:

$$\frac{33}{10} \times \frac{11}{1} = \frac{33 \times 11}{10 \times 1} = \frac{363}{10}$$

The answer can also be expressed as a decimal:

$$\frac{363}{10} = 36.3$$

The final answer is $\frac{363}{10}$.