\[\begin{aligned} a &= \frac 3 4 - \frac 2 3 \div \frac 3 2 =\frac 34 - \frac 2 3 \times \frac 2 3 =\frac34 - \frac49& \\ &=\frac{3\times 9}{4\times 9} - \frac{4 \times 4}{4\times 9} =\frac{27-16}{36} =\frac{11}{36}.& \end{aligned}\] \[ b = \frac 3 4 - \frac23\times\frac32 =\frac34 - 1 =\frac34-\frac44 =-\frac 1 4. \] \[ c=\frac{\frac 4 2}{\frac 1 2} \times \frac 3 2 =\frac 4 2 \times \frac 2 1 \times \frac 3 2 =4 \times \frac 3 2 =6. \] \[ d = 5\times \frac{1-\frac 12}3 =5\times \frac{\frac 12}3 =5\times\frac12 \times \frac 1 3 =\frac56. \]