346. Выполните умножение: 1) \frac{4}{7} \cdot \frac{3}{5} 2) \frac{8}{27} \cdot \frac{3}{4} 3) 9 \frac{3}{5} \cdot \frac{10}{21} 4) 1 \frac{7}{8} \cdot 6 \frac{1}{8} 5) 4 \frac{1}{2} \cdot 3 \frac{1}{3} 6) 2 \frac{1}{4} \cdot 2 \frac{16}{27} \cdot 4 \frac{1}{3}

Решение: 1) \(\frac{4}{7} \cdot \frac{3}{5} = \frac{4 \cdot 3}{7 \cdot 5} = \frac{12}{35}\) 2) \(\frac{8}{27} \cdot \frac{3}{4} = \frac{8 \cdot 3}{27 \cdot 4} = \frac{24}{108} = \frac{2}{9}\) 3) \(9 \frac{3}{5} \cdot \frac{10}{21} = \frac{48}{5} \cdot \frac{10}{21} = \frac{48 \cdot 10}{5 \cdot 21} = \frac{480}{105} = \frac{32}{7} = 4\frac{4}{7}\) 4) \(1 \frac{7}{8} \cdot 6 \frac{1}{8} = \frac{15}{8} \cdot \frac{49}{8} = \frac{15 \cdot 49}{8 \cdot 8} = \frac{735}{64} = 11\frac{31}{64}\) 5) \(4 \frac{1}{2} \cdot 3 \frac{1}{3} = \frac{9}{2} \cdot \frac{10}{3} = \frac{9 \cdot 10}{2 \cdot 3} = \frac{90}{6} = 15\) 6) \(2 \frac{1}{4} \cdot 2 \frac{16}{27} \cdot 4 \frac{1}{3} = \frac{9}{4} \cdot \frac{70}{27} \cdot \frac{13}{3} = \frac{9 \cdot 70 \cdot 13}{4 \cdot 27 \cdot 3} = \frac{8190}{324} = \frac{455}{18} = 25\frac{5}{18}\) Ответы: 1) \(\frac{12}{35}\) 2) \(\frac{2}{9}\) 3) \(4\frac{4}{7}\) 4) \(11\frac{31}{64}\) 5) 15 6) \(25\frac{5}{18}\)