Чему равно значение выражения: 1) 1/3 + 5/6; 2) 3/7 − 2/9; 3) 7/16 · 8/35; 4) 4/9 · 18; 5) 46/75 : 23/45; 6) 2/3 : 4; 7) 10 : 5/11; 8) 2 3/8 + 4 1/6; 9) 6 − 1 3/5?

1. \(\frac{1}{3}+\frac{5}{6}=\frac{2}{6}+\frac{5}{6}=\frac{7}{6}=1\frac{1}{6}\).
2. \(\frac{3}{7}-\frac{2}{9}=\frac{27}{63}-\frac{14}{63}=\frac{13}{63}\).
3. \(\frac{7}{16}\cdot\frac{8}{35}=\frac{1}{2}\cdot\frac{1}{5}=\frac{1}{10}\).
4. \(\frac{4}{9}\cdot18=4\cdot2=8\).
5. \(\frac{46}{75}:\frac{23}{45}=\frac{46}{75}\cdot\frac{45}{23}=\frac{2\cdot3}{5}=\frac{6}{5}=1\frac{1}{5}\).
6. \(\frac{2}{3}:4=\frac{2}{3}\cdot\frac{1}{4}=\frac{1}{6}\).
7. \(10:\frac{5}{11}=10\cdot\frac{11}{5}=22\).
8. \(2\frac{3}{8}+4\frac{1}{6}=6+\frac{9}{24}+\frac{4}{24}=6\frac{13}{24}\).
9. \(6-1\frac{3}{5}=5\frac{5}{5}-1\frac{3}{5}=4\frac{2}{5}\).

Ответ: 1) \(1\frac{1}{6}\); 2) \(\frac{13}{63}\); 3) \(\frac{1}{10}\); 4) \(8\); 5) \(1\frac{1}{5}\); 6) \(\frac{1}{6}\); 7) \(22\); 8) \(6\frac{13}{24}\); 9) \(4\frac{2}{5}\).