338. Выполните умножение: 1) 9 3/5 · 10/21; 2) 3 11/12 · 9/94; 3) 1 5/7 · 6 1/8; 4) 3 5/9 · 5 1/4; 5) 1 13/15 · 5/8 · 2 2/7; 6) 2 1/4 · 16/27 · 4 1/3.

1. Преобразуем смешанное число в неправильную дробь: \(9\frac{3}{5}=\frac{48}{5}\).
   \(\frac{48}{5}\cdot\frac{10}{21}=\frac{96}{21}=\frac{32}{7}=4\frac{4}{7}\).
2. \(3\frac{11}{12}=\frac{47}{12}\).
   \(\frac{47}{12}\cdot\frac{9}{94}=\frac{1}{2}\cdot\frac{3}{4}=\frac{3}{8}\).
3. \(1\frac{5}{7}=\frac{12}{7}\), \(6\frac{1}{8}=\frac{49}{8}\).
   \(\frac{12}{7}\cdot\frac{49}{8}=\frac{21}{2}=10\frac{1}{2}\).
4. \(3\frac{5}{9}=\frac{32}{9}\), \(5\frac{1}{4}=\frac{21}{4}\).
   \(\frac{32}{9}\cdot\frac{21}{4}=\frac{56}{3}=18\frac{2}{3}\).
5. \(1\frac{13}{15}=\frac{28}{15}\), \(2\frac{2}{7}=\frac{16}{7}\).
   \(\frac{28}{15}\cdot\frac{5}{8}\cdot\frac{16}{7}=\frac{8}{3}=2\frac{2}{3}\).
6. \(2\frac{1}{4}=\frac{9}{4}\), \(4\frac{1}{3}=\frac{13}{3}\).
   \(\frac{9}{4}\cdot\frac{16}{27}\cdot\frac{13}{3}=\frac{52}{9}=5\frac{7}{9}\).

Ответ: 1) \(4\frac{4}{7}\); 2) \(\frac{3}{8}\); 3) \(10\frac{1}{2}\); 4) \(18\frac{2}{3}\); 5) \(2\frac{2}{3}\); 6) \(5\frac{7}{9}\).