a) $\frac{9}{{14}} - \frac{2}{7} + \frac{1}{7} = \frac{9}{{14}} - \frac{4}{{14}} + \frac{2}{{14}} = \frac{{9 - 4 + 2}}{{14}} = \frac{7}{{14}} = \frac{1}{2}$
b) $\frac{7}{{10}} + \frac{{12}}{{25}}:\frac{4}{5} = \frac{7}{{10}} + \frac{{12}}{{25}} \times \frac{5}{4} = \frac{7}{{10}} + \frac{3}{5} = \frac{7}{{10}} + \frac{6}{{10}} = \frac{{13}}{{10}}$
c) $1:\frac{3}{5} \times \frac{9}{{10}} = 1 \times \frac{5}{3} \times \frac{9}{{10}} = \frac{5}{3} \times \frac{9}{{10}} = \frac{{5 \times 3 \times 3}}{{3 \times 5 \times 2}} = \frac{3}{2}$
d) $\left( {\frac{{15}}{{10}} - \frac{1}{2}} \right) \times \frac{{32}}{{35}} = \left( {\frac{3}{2} - \frac{1}{2}} \right) \times \frac{{32}}{{35}} = 1 \times \frac{{32}}{{35}} = \frac{{32}}{{35}}$
