\[5\frac{3}{7} + \left( - 2\frac{2}{3} \right) - \left( - 3\frac{8}{21} \right) =\]
\[= 5\frac{9}{21} - 2\frac{14}{21} + 3\frac{8}{21} =\]
\[= 8\frac{17}{21} - 2\frac{14}{21} = 6\frac{3}{21} = 6\frac{1}{7}\]