№1 Вычислите: a) 4/9 * 3/16 б) 5/9 * 4 1/2 в) 5 * 3/25 г) 1 1/9 * 18 д) 1 1/8 * 2 2/3 е) 5/8 : 15/16 ж) 2 2/5 : 6 3) 8 : 4/9 п) 3 1/2 : 1 3/4

Пошаговое решение:

1. а) \( \frac{4}{9} \cdot \frac{3}{16} = \frac{4 \cdot 3}{9 \cdot 16} = \frac{12}{144} = \frac{1}{12} \)
2. б) \( \frac{5}{9} \cdot 4\frac{1}{2} = \frac{5}{9} \cdot \frac{9}{2} = \frac{5 \cdot 9}{9 \cdot 2} = \frac{5}{2} = 2\frac{1}{2} \)
3. в) \( 5 \cdot \frac{3}{25} = \frac{5 \cdot 3}{25} = \frac{15}{25} = \frac{3}{5} \)
4. г) \( 1\frac{1}{9} \cdot 18 = \frac{10}{9} \cdot 18 = \frac{10 \cdot 18}{9} = 10 \cdot 2 = 20 \)
5. д) \( 1\frac{1}{8} \cdot 2\frac{2}{3} = \frac{9}{8} \cdot \frac{8}{3} = \frac{9 \cdot 8}{8 \cdot 3} = \frac{9}{3} = 3 \)
6. е) \( \frac{5}{8} : \frac{15}{16} = \frac{5}{8} \cdot \frac{16}{15} = \frac{5 \cdot 16}{8 \cdot 15} = \frac{80}{120} = \frac{2}{3} \)
7. ж) \( 2\frac{2}{5} : 6 = \frac{12}{5} : 6 = \frac{12}{5} \cdot \frac{1}{6} = \frac{12}{30} = \frac{2}{5} \)
8. з) \( 8 : \frac{4}{9} = 8 \cdot \frac{9}{4} = \frac{8 \cdot 9}{4} = 2 \cdot 9 = 18 \)
9. п) \( 3\frac{1}{2} : 1\frac{3}{4} = \frac{7}{2} : \frac{7}{4} = \frac{7}{2} \cdot \frac{4}{7} = \frac{7 \cdot 4}{2 \cdot 7} = \frac{4}{2} = 2 \)