347. Выполните умножение: 1) \frac{5}{13} \cdot \frac{2}{3} 2) \frac{7}{12} \cdot \frac{5}{14} 3) 1 \frac{1}{2} \cdot \frac{1}{6} 4) 3 \frac{5}{9} \cdot 5 \frac{1}{4} 5) 2 \frac{1}{7} \cdot 2 \frac{4}{5} 6) 1 \frac{13}{15} \cdot 5 \frac{2}{7}

Решение: 1) \(\frac{5}{13} \cdot \frac{2}{3} = \frac{5 \cdot 2}{13 \cdot 3} = \frac{10}{39}\) 2) \(\frac{7}{12} \cdot \frac{5}{14} = \frac{7 \cdot 5}{12 \cdot 14} = \frac{35}{168} = \frac{5}{24}\) 3) \(1 \frac{1}{2} \cdot \frac{1}{6} = \frac{3}{2} \cdot \frac{1}{6} = \frac{3 \cdot 1}{2 \cdot 6} = \frac{3}{12} = \frac{1}{4}\) 4) \(3 \frac{5}{9} \cdot 5 \frac{1}{4} = \frac{32}{9} \cdot \frac{21}{4} = \frac{32 \cdot 21}{9 \cdot 4} = \frac{672}{36} = \frac{56}{3} = 18\frac{2}{3}\) 5) \(2 \frac{1}{7} \cdot 2 \frac{4}{5} = \frac{15}{7} \cdot \frac{14}{5} = \frac{15 \cdot 14}{7 \cdot 5} = \frac{210}{35} = 6\) 6) \(1 \frac{13}{15} \cdot 5 \frac{2}{7} = \frac{28}{15} \cdot \frac{37}{7} = \frac{28 \cdot 37}{15 \cdot 7} = \frac{1036}{105} = \frac{148}{15} = 9\frac{13}{15}\) Ответы: 1) \(\frac{10}{39}\) 2) \(\frac{5}{24}\) 3) \(\frac{1}{4}\) 4) \(18\frac{2}{3}\) 5) 6 6) \(9\frac{13}{15}\)