Решение:
1. $$\frac{7}{4} : \frac{3}{2} = \frac{7}{4} \cdot \frac{2}{3} = \frac{7 \cdot 2}{4 \cdot 3} = \frac{14}{12} = \frac{7}{6}$$
2. $$\frac{1}{3} + \frac{7}{6} = \frac{2}{6} + \frac{7}{6} = \frac{2+7}{6} = \frac{9}{6} = \frac{3}{2}$$
Ответ: $$\frac{3}{2}$$