Задание 2. Найдите значение выражения: 1) (9/16 + 2 3/8) · 4; 2) (4/9 − 3 1/15) · 9; 3) (2 3/4 + 2 1/5) · 16; 4) (1 11/16 − 3 7/8) · 4; 5) (1 3/4 + 2 4/5) · 30; 6) (1/13 − 2 3/4) · 26; 7) 1 8/17 : (12/17 + 2 7/11); 8) 3 4/9 : (1 5/9 − 4/7); 9) 4 7/8 : (2 3/4 + 1 10/19); 10) 1 1/12 : (1 13/18 − 2 5/9); 11) 3 1/2 : (1 4/15 + 2 9/10); 12) 4 1/4 : (2 7/10 − 3 1/8).

1. \(\left(\frac{9}{16}+2\frac{3}{8}\right)\cdot4=\left(\frac{9}{16}+\frac{19}{8}\right)\cdot4=\frac{47}{16}\cdot4=\frac{47}{4}=11\frac{3}{4}\).
2. \(\left(\frac{4}{9}-3\frac{1}{15}\right)\cdot9=\left(\frac{20}{45}-\frac{136}{45}\right)\cdot9=-\frac{116}{45}\cdot9=-\frac{116}{5}=-23\frac{1}{5}\).
3. \(\left(2\frac{3}{4}+2\frac{1}{5}\right)\cdot16=\left(\frac{11}{4}+\frac{11}{5}\right)\cdot16=\frac{99}{20}\cdot16=\frac{396}{5}=79\frac{1}{5}\).
4. \(\left(1\frac{11}{16}-3\frac{7}{8}\right)\cdot4=\left(\frac{27}{16}-\frac{62}{16}\right)\cdot4=-\frac{35}{16}\cdot4=-\frac{35}{4}=-8\frac{3}{4}\).
5. \(\left(1\frac{3}{4}+2\frac{4}{5}\right)\cdot30=\left(\frac{7}{4}+\frac{14}{5}\right)\cdot30=\frac{91}{20}\cdot30=\frac{273}{2}=136\frac{1}{2}\).
6. \(\left(\frac{1}{13}-2\frac{3}{4}\right)\cdot26=\left(\frac{4}{52}-\frac{143}{52}\right)\cdot26=-\frac{139}{52}\cdot26=-\frac{139}{2}=-69\frac{1}{2}\).
7. \(1\frac{8}{17}:\left(\frac{12}{17}+2\frac{7}{11}\right)=\frac{25}{17}:\left(\frac{12}{17}+\frac{29}{11}\right)=\frac{25}{17}:\frac{625}{187}=\frac{1}{5}\).
8. \(3\frac{4}{9}:\left(1\frac{5}{9}-\frac{4}{7}\right)=\frac{31}{9}:\left(\frac{14}{9}-\frac{4}{7}\right)=\frac{31}{9}:\frac{62}{63}=\frac{7}{2}=3\frac{1}{2}\).
9. \(4\frac{7}{8}:\left(2\frac{3}{4}+1\frac{10}{19}\right)=\frac{39}{8}:\left(\frac{11}{4}+\frac{29}{19}\right)=\frac{39}{8}:\frac{325}{76}=\frac{57}{50}=1\frac{7}{50}\).
10. \(1\frac{1}{12}:\left(1\frac{13}{18}-2\frac{5}{9}\right)=\frac{13}{12}:\left(\frac{31}{18}-\frac{46}{18}\right)=\frac{13}{12}:\left(-\frac{5}{6}\right)=-\frac{13}{10}=-1\frac{3}{10}\).
11. \(3\frac{1}{2}:\left(1\frac{4}{15}+2\frac{9}{10}\right)=\frac{7}{2}:\left(\frac{19}{15}+\frac{29}{10}\right)=\frac{7}{2}:\frac{77}{15}=\frac{15}{22}\).
12. \(4\frac{1}{4}:\left(2\frac{7}{10}-3\frac{1}{8}\right)=\frac{17}{4}:\left(\frac{27}{10}-\frac{25}{8}\right)=\frac{17}{4}:\left(-\frac{7}{40}\right)=-\frac{170}{7}=-24\frac{2}{7}\).

Ответы: 1) \(11\frac{3}{4}\); 2) \(-23\frac{1}{5}\); 3) \(79\frac{1}{5}\); 4) \(-8\frac{3}{4}\); 5) \(136\frac{1}{2}\); 6) \(-69\frac{1}{2}\); 7) \(\frac{1}{5}\); 8) \(3\frac{1}{2}\); 9) \(1\frac{7}{50}\); 10) \(-1\frac{3}{10}\); 11) \(\frac{15}{22}\); 12) \(-24\frac{2}{7}\).