9. Найдите значения выражения: 1) |−9/14| + |−4/21|; 2) |−8/45| + |11/15|; 3) |−2| − |4/15|; 4) |−2 3/4| − |−2/7|; 5) |13/15| · |−5/39|; 6) |2 3/11| : |−1 5/33|.

1. \(\left|-\frac{9}{14}\right|+\left|-\frac{4}{21}\right|=\frac{9}{14}+\frac{4}{21}=\frac{27}{42}+\frac{8}{42}=\frac{35}{42}=\frac{5}{6}\).
2. \(\left|-\frac{8}{45}\right|+\left|\frac{11}{15}\right|=\frac{8}{45}+\frac{33}{45}=\frac{41}{45}\).
3. \(|-2|-\left|\frac{4}{15}\right|=2-\frac{4}{15}=\frac{26}{15}=1\frac{11}{15}\).
4. \(\left|-2\frac{3}{4}\right|-\left|-\frac{2}{7}\right|=2\frac{3}{4}-\frac{2}{7}=\frac{11}{4}-\frac{2}{7}=\frac{77-8}{28}=\frac{69}{28}=2\frac{13}{28}\).
5. \(\left|\frac{13}{15}\right|\cdot\left|-\frac{5}{39}\right|=\frac{13}{15}\cdot\frac{5}{39}=\frac{1}{3}\).
6. \(\left|2\frac{3}{11}\right|:\left|-1\frac{5}{33}\right|=\frac{25}{11}:\frac{38}{33}=\frac{25}{11}\cdot\frac{33}{38}=\frac{75}{38}=1\frac{37}{38}\).

Ответ: 1) \(\frac{5}{6}\); 2) \(\frac{41}{45}\); 3) \(1\frac{11}{15}\); 4) \(2\frac{13}{28}\); 5) \(\frac{1}{3}\); 6) \(1\frac{37}{38}\).