Ответ:

  1. Приводим к общему знаменателю: \(\dfrac{5m-n-2(m-6n)}{14m}=\dfrac{3m+11n}{14m}\).

  2. \(\dfrac{c(a+b)+b(a-c)}{abc}=\dfrac{a(b+c)}{abc}=\dfrac{b+c}{bc}\).

  3. \(\dfrac{k(k+4)-(3k-4)}{k^2}=\dfrac{k^2+k+4}{k^2}\).

  4. \(\dfrac{y(x-y)-x(y-x^2)}{x^3y}=\dfrac{x^3-y^2}{x^3y}\).

  5. \(\dfrac{n(2m-3n)+m(m-2n)}{m^2n^2}=\dfrac{m^2-3n^2}{m^2n^2}\).

  6. \(\dfrac{c^2(c+d)-d(c^2-8d)}{c^3d^4}=\dfrac{c^3+8d^2}{c^3d^4}\).