Operations with Rational Numbers

Consider a mathematical scenario where you have a rational number represented as a fraction. Suppose you have the fraction $\frac{5}{12}$, and you decide to perform a series of operations on it. First, you multiply this fraction by $\frac{3}{2}$. Then, as a second operation, you subtract $\frac{1}{4}$ from the result of the first operation. What is the final outcome after performing these operations?