Ответ:

  1. \(1-\frac{a}{5}-\frac{b}{4}=\frac{20-4a-5b}{20}\).
  2. \(12-\frac{1}{a}-\frac{1}{b}=\frac{12ab-a-b}{ab}\).
  3. \(\frac{a-2}{2}-1-\frac{a-3}{3}=\frac{3(a-2)-6-2(a-3)}{6}=\frac{a}{6}\).
  4. \(\frac{a+b}{4}-a+b=\frac{a+b-4a+4b}{4}=\frac{5b-3a}{4}\).
  5. \(a+b-\frac{a^2+b^2}{a}=\frac{a(a+b)-a^2-b^2}{a}=\frac{ab-b^2}{a}=\frac{b(a-b)}{a}\).

Ответ: а) \(\frac{20-4a-5b}{20}\); б) \(\frac{12ab-a-b}{ab}\); в) \(\frac{a}{6}\); д) \(\frac{5b-3a}{4}\); е) \(\frac{b(a-b)}{a}\).