\[5\frac{7}{8} + \left( - 3\frac{5}{12} \right) - \left( - 1\frac{7}{16} \right) =\]
\[= 5\frac{14}{16} + 1\frac{7}{16} - 3\frac{5}{12} = 6\frac{21}{16} - 3\frac{5}{12} =\]
\[= 6\frac{63}{48} - 3\frac{20}{48} = 3\frac{43}{48}\]