№1. Выполни умножение дробей: 1) \(\frac{3}{8} \cdot \frac{3}{4}\) 2) \(\frac{1}{6} \cdot \frac{5}{7}\) 3) \(\frac{1}{10} \cdot 9\) 4) \(\frac{3}{7} \cdot \frac{2}{5}\) 5) \(\frac{4}{9} \cdot \frac{1}{2}\) 6) \(\frac{5}{12} \cdot \frac{8}{9}\) 7) \(\frac{1}{2} \cdot \frac{2}{3}\) 8) \(\frac{7}{15} \cdot \frac{5}{14}\)

Решение:

1. \(\frac{3}{8} \cdot \frac{3}{4} = \frac{3 \cdot 3}{8 \cdot 4} = \frac{9}{32}\)
2. \(\frac{1}{6} \cdot \frac{5}{7} = \frac{1 \cdot 5}{6 \cdot 7} = \frac{5}{42}\)
3. \(\frac{1}{10} \cdot 9 = \frac{1 \cdot 9}{10} = \frac{9}{10}\)
4. \(\frac{3}{7} \cdot \frac{2}{5} = \frac{3 \cdot 2}{7 \cdot 5} = \frac{6}{35}\)
5. \(\frac{4}{9} \cdot \frac{1}{2} = \frac{4 \cdot 1}{9 \cdot 2} = \frac{4}{18} = \frac{2}{9}\)
6. \(\frac{5}{12} \cdot \frac{8}{9} = \frac{5 \cdot 8}{12 \cdot 9} = \frac{40}{108} = \frac{10}{27}\)
7. \(\frac{1}{2} \cdot \frac{2}{3} = \frac{1 \cdot 2}{2 \cdot 3} = \frac{2}{6} = \frac{1}{3}\)
8. \(\frac{7}{15} \cdot \frac{5}{14} = \frac{7 \cdot 5}{15 \cdot 14} = \frac{35}{210} = \frac{1}{6}\)

Ответ: 1) \(\frac{9}{32}\) 2) \(\frac{5}{42}\) 3) \(\frac{9}{10}\) 4) \(\frac{6}{35}\) 5) \(\frac{2}{9}\) 6) \(\frac{10}{27}\) 7) \(\frac{1}{3}\) 8) \(\frac{1}{6}\)