\[\frac{\frac{3}{2}}{\frac{4}{5} + \frac{7}{10}} = \frac{\frac{3}{2}}{\frac{8 + 7}{10}} = \frac{3}{2}\ :\frac{15}{10} = \frac{3 \cdot 10}{2 \cdot 15} = \frac{5}{5} = 1\]