$$a \cdot b = \frac { 3 } { 2 }$$
Given that, what is the value of the expression $\left( a + \frac { 1 } { 2 b } \right) \left( b - \frac { 1 } { a } \right)$?
A) $\frac { 1 } { 2 }$
B) $\frac { 2 } { 3 }$
C) $\frac { 4 } { 3 }$
D) $\frac { 3 } { 4 }$
E) $\frac { 2 } { 5 }$
$$a \cdot b = \frac { 3 } { 2 }$$

Given that, what is the value of the expression $\left( a + \frac { 1 } { 2 b } \right) \left( b - \frac { 1 } { a } \right)$?\\
A) $\frac { 1 } { 2 }$\\
B) $\frac { 2 } { 3 }$\\
C) $\frac { 4 } { 3 }$\\
D) $\frac { 3 } { 4 }$\\
E) $\frac { 2 } { 5 }$