Ответ:

\(\frac{15}{28}-\frac{11}{36}=\frac{29}{126}\).

\(\frac{29}{126}\cdot\frac{21}{29}=\frac16\).

\(6\frac67:\frac{16}{21}=\frac{48}{7}\cdot\frac{21}{16}=9\).

Тогда \(\left|\frac16+9\right|=\frac{55}{6}\).

\(\frac{55}{6}:16\frac12=\frac{55}{6}:\frac{33}{2}=\frac{55}{6}\cdot\frac{2}{33}=\frac59\).

Ответ: \(\frac59\).