Ответ:

  1. \(\frac{3}{16}:(-\frac{5}{56})+3,8=-\frac{21}{10}+\frac{19}{5}=\frac{17}{10}=1,7\).
  2. \(\frac{7}{18}:(-\frac{10}{27})-2,4=-\frac{21}{20}-\frac{12}{5}=-\frac{69}{20}=-3,45\).
  3. \(-\frac{14}{23}\cdot\frac{35}{46}+2,9=-\frac{245}{529}+\frac{29}{10}=\frac{12861}{5290}\).
  4. \(-\frac{15}{58}:\frac{3}{29}-5,63=-\frac{5}{2}-\frac{563}{100}=-\frac{813}{100}=-8,13\).

Ответ: 1) \(1,7\); 2) \(-3,45\); 3) \(\frac{12861}{5290}\); 4) \(-8,13\).