\(\left(\frac{7}{3}+\frac{7}{2}\right):\left(-\frac{25}{6}+\frac{22}{7}\right)+\frac{15}{2}=\frac{35}{6}:-\frac{43}{42}+\frac{15}{2}=-\frac{245}{43}\)
(7/3+7/2):(-25/6+22/7)+15/2
=(14/6+21/6):(-175/42+132/42)+15/2
=35/6:-43/42+15/2
=-245/43+15/2
=155/86