№ 1. Сократите дроби: 150/180; 196/126; (9 · 14)/(28 · 3); (44 · 36)/(27 · 55); (4 · 3 · 15)/(9 · 5 · 8); 880/1008; (81 · 17 − 15 · 81)/(81 · 17 + 81 · 4); (175 · 144 · 49)/(12 · 63 · 75).

1. \(\dfrac{150}{180}=\dfrac{5}{6}\).
2. \(\dfrac{196}{126}=\dfrac{14}{9}\).
3. \(\dfrac{9\cdot14}{28\cdot3}=\dfrac{3\cdot14}{28}=\dfrac{42}{28}=\dfrac{3}{2}\).
4. \(\dfrac{44\cdot36}{27\cdot55}=\dfrac{4\cdot4}{3\cdot5}=\dfrac{16}{15}\).
5. \(\dfrac{4\cdot3\cdot15}{9\cdot5\cdot8}=\dfrac{4\cdot3}{9\cdot8}=\dfrac{1}{6}\).
6. \(\dfrac{880}{1008}=\dfrac{55}{63}\).
7. \(\dfrac{81\cdot17-15\cdot81}{81\cdot17+81\cdot4}=\dfrac{81(17-15)}{81(17+4)}=\dfrac{2}{21}\).
8. \(\dfrac{175\cdot144\cdot49}{12\cdot63\cdot75}=\dfrac{7\cdot12\cdot49}{12\cdot9\cdot5}=\dfrac{343}{45}\).

Ответ: \(\dfrac{5}{6};\ \dfrac{14}{9};\ \dfrac{3}{2};\ \dfrac{16}{15};\ \dfrac{1}{6};\ \dfrac{55}{63};\ \dfrac{2}{21};\ \dfrac{343}{45}\).