2.294. Вычислите: а) 7/16 · 4/9 − 1 7/15; б) 8/15 · (2 1/2)² − 5/9; в) ((1 1/6)² − 7/18) · 2 4/7 − 4 2/5; г) (11/16 + 7/24 − 5/12) + (3/4)².

1. а) \(\frac{7}{16}\cdot\frac{4}{9}-1\frac{7}{15}=\frac{7}{36}-\frac{22}{15}=\frac{35-264}{180}=-\frac{229}{180}=-1\frac{49}{180}\).
2. б) \(\frac{8}{15}\cdot\left(2\frac{1}{2}\right)^2-\frac{5}{9}=\frac{8}{15}\cdot\frac{25}{4}-\frac{5}{9}=\frac{10}{3}-\frac{5}{9}=\frac{25}{9}=2\frac{7}{9}\).
3. в) \(\left(\left(1\frac{1}{6}\right)^2-\frac{7}{18}\right)\cdot2\frac{4}{7}-4\frac{2}{5}=\left(\frac{49}{36}-\frac{14}{36}\right)\cdot\frac{18}{7}-\frac{22}{5}=\frac{35}{36}\cdot\frac{18}{7}-\frac{22}{5}=\frac{5}{2}-\frac{22}{5}=-\frac{19}{10}=-1\frac{9}{10}\).
4. г) \(\left(\frac{11}{16}+\frac{7}{24}-\frac{5}{12}\right)+\left(\frac{3}{4}\right)^2=\frac{9}{16}+\frac{9}{16}=\frac{9}{8}=1\frac{1}{8}\).

Ответ: а) −1 49/180; б) 2 7/9; в) −1 9/10; г) 1 1/8.