Ответ:

  1. \(7\frac{5}{24}-x=2\frac{5}{16}\).
    \(x=7\frac{5}{24}-2\frac{5}{16}=7\frac{10}{48}-2\frac{15}{48}=4\frac{43}{48}\).
  2. \(x+\frac{5}{12}-\frac{9}{20}=\frac{11}{15}\).
    \(\frac{5}{12}-\frac{9}{20}=\frac{25}{60}-\frac{27}{60}=-\frac{1}{30}\), значит \(x-\frac{1}{30}=\frac{11}{15}\).
    \(x=\frac{11}{15}+\frac{1}{30}=\frac{22}{30}+\frac{1}{30}=\frac{23}{30}\).

Ответ: 1) \(x=4\frac{43}{48}\); 2) \(x=\frac{23}{30}\).