$\frac{\frac{6}{7} +\frac{2}{5} -\frac{1}{2} }{\frac{4}{5}+\frac{5}{6}-\frac{1}{3}}$ + 2$\frac{38}{91}$
=$\frac{\frac{60}{70} + \frac{28}{70} -\frac{35}{70} }{\frac{24}{30}+ \frac{25}{30}-\frac{10}{30} }$ + 2$\frac{38}{91}$
= $\frac{\frac{53}{70}}{\frac{13}{10} }$ + 2$\frac{38}{91}$
=( $\frac{53}{70}$ x $\frac{10}{13}$ ) + 2$\frac{38}{91}$
=$\frac{53}{91}$ + 2$\frac{38}{91}$
= 2 + ($\frac{53}{91}$ + $\frac{38}{91}$ )
= 2 + $\frac{91}{91}$
= 2 + 1
= 3