$$\left. \begin{array} { l } { A ^ { - 1 } = } \\ { A + \frac { 1 } { 2 } = } \\ { A = 3 - \frac { 3 } { 46 } } \end{array} \right.$$
$a=\frac{46}{135}\approx 0.340740741$
$b = \frac{79}{23} = 3\frac{10}{23} \approx 3.434782609$