\[\begin{aligned} A &= \left(1 + \frac 2 7\right) : \left(1 - \frac 2 7\right)& \\ &= \frac{7+2} 7 : \frac{7-2} 7& \\ &=\frac 9 7 : \frac 5 7& \\ &=\frac 9 {\underset{1}{\cancel 7}} \times \frac {\overset{1}{\cancel 7}} 5& \\ &=\boxed{\frac 9 5.}& \\ B &= -\frac 5 6 + 3\times \frac{11-1}{11+1}& \\ &=-\frac 5 6 + 3\times \frac{10}{12}& \\ &=-\frac 5 6 + \frac{30}{12}& \\ &=\frac{-10+30}{12}& \\ &=\frac{20}{12}& \\ &=\boxed{\frac 5 3.} \\ C &= -\frac 3 {11} \times \left(1 - \frac 1 {14} - \frac 1 7\right)& \\ &= -\frac 3 {11} \times \frac{14-1-2}{14}& \\ &= -\frac 3 {\underset{1}{\cancel{11}}} \times \frac{\overset{1}{\cancel{11}}}{14}& \\ &=\boxed{-\frac 3 {4}.}& \\ D &= 1 - \frac 1 3 : \frac 5 3 - \frac{28}{35}& \\ &= 1 - \frac 1 {\underset{1}{\cancel{3}}} \times \frac{\overset{1}{\cancel{3}}} 5 - \frac{\overset{4}{\cancel{28}}}{\underset{5}{\cancel{35}}}& \\ &=1 - \frac 1 5 - \frac 4 5& \\ &=\frac{5 - 1 - 4}5& \\ &=\boxed{0.}& \end{aligned}\]