1) \(9 \frac{3}{5} \cdot \frac{10}{21} = \frac{48}{5} \cdot \frac{10}{21} = \frac{48 \cdot 10}{5 \cdot 21} = \frac{48 \cdot 2}{1 \cdot 21} = \frac{96}{21} = \frac{32}{7} = 4 \frac{4}{7}\)
2) \(3 \frac{11}{12} \cdot \frac{9}{94} = \frac{47}{12} \cdot \frac{9}{94} = \frac{47 \cdot 9}{12 \cdot 94} = \frac{1 \cdot 3}{4 \cdot 2} = \frac{3}{8}\)
3) \(1 \frac{5}{7} \cdot 6 \frac{1}{8} = \frac{12}{7} \cdot \frac{49}{8} = \frac{12 \cdot 49}{7 \cdot 8} = \frac{3 \cdot 7}{1 \cdot 2} = \frac{21}{2} = 10 \frac{1}{2}\)
4) \(3 \frac{5}{9} \cdot 5 \frac{1}{4} = \frac{32}{9} \cdot \frac{21}{4} = \frac{32 \cdot 21}{9 \cdot 4} = \frac{8 \cdot 7}{3 \cdot 1} = \frac{56}{3} = 18 \frac{2}{3}\)
5) \(1 \frac{13}{15} \cdot \frac{5}{8} \cdot 2 \frac{2}{7} = \frac{28}{15} \cdot \frac{5}{8} \cdot \frac{16}{7} = \frac{28 \cdot 5 \cdot 16}{15 \cdot 8 \cdot 7} = \frac{4 \cdot 1 \cdot 2}{3 \cdot 1 \cdot 1} = \frac{8}{3} = 2 \frac{2}{3}\)
6) \(2 \frac{1}{4} \cdot \frac{16}{27} \cdot 4 \frac{1}{3} = \frac{9}{4} \cdot \frac{16}{27} \cdot \frac{13}{3} = \frac{9 \cdot 16 \cdot 13}{4 \cdot 27 \cdot 3} = \frac{1 \cdot 4 \cdot 13}{1 \cdot 3 \cdot 3} = \frac{52}{9} = 5 \frac{7}{9}\)
Ответ:
1) 4 4/7
2) 3/8
3) 10 1/2
4) 18 2/3
5) 2 2/3
6) 5 7/9
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