Вычислить: 7/6 · 16/18; 2/3 · 5/6; 7/10 − 3/5; 4/3 − 8/27; 8/12 − 1/3; 6/24 · 7/9; 27 · 1/18; 2/8 · 3; 18/40 · 45/27.

1. \(\frac{7}{6}\cdot\frac{16}{18}=\frac{7\cdot16}{6\cdot18}=\frac{112}{108}=\frac{28}{27}\).
2. \(\frac{2}{3}\cdot\frac{5}{6}=\frac{10}{18}=\frac{5}{9}\).
3. \(\frac{7}{10}-\frac{3}{5}=\frac{7}{10}-\frac{6}{10}=\frac{1}{10}\).
4. \(\frac{4}{3}-\frac{8}{27}=\frac{36}{27}-\frac{8}{27}=\frac{28}{27}\).
5. \(\frac{8}{12}-\frac{1}{3}=\frac{2}{3}-\frac{1}{3}=\frac{1}{3}\).
6. \(\frac{6}{24}\cdot\frac{7}{9}=\frac{1}{4}\cdot\frac{7}{9}=\frac{7}{36}\).
7. \(27\cdot\frac{1}{18}=\frac{27}{18}=\frac{3}{2}\).
8. \(\frac{2}{8}\cdot3=\frac{1}{4}\cdot3=\frac{3}{4}\).
9. \(\frac{18}{40}\cdot\frac{45}{27}=\frac{9}{20}\cdot\frac{5}{3}=\frac{3}{4}\).

Ответ: \(\frac{28}{27};\ \frac{5}{9};\ \frac{1}{10};\ \frac{28}{27};\ \frac{1}{3};\ \frac{7}{36};\ \frac{3}{2};\ \frac{3}{4};\ \frac{3}{4}\).