60. Найдите произведение: 1) 7 · 4/37; 2) 7/15 · 3; 3) 8/13 · 26; 4) 3 3/8 · 7/9; 5) 4 4/7 · 2 11/12; 6) 1 2/13 · 1 5/8 · 1 1/7.

60. Найдите произведение:

1) $$7 \cdot \frac{4}{37} = \frac{7 \cdot 4}{37} = \frac{28}{37}$$

Ответ: $$\frac{28}{37}$$

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2) $$\frac{7}{15} \cdot 3 = \frac{7 \cdot 3}{15} = \frac{7 \cdot 1}{5} = \frac{7}{5} = 1 \frac{2}{5}$$

Ответ: $$1 \frac{2}{5}$$

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3) $$\frac{8}{13} \cdot 26 = \frac{8 \cdot 26}{13} = 8 \cdot 2 = 16$$

Ответ: $$16$$

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4) $$3 \frac{3}{8} \cdot \frac{7}{9} = \frac{3 \cdot 8 + 3}{8} \cdot \frac{7}{9} = \frac{27}{8} \cdot \frac{7}{9} = \frac{3}{8} \cdot \frac{7}{1} = \frac{21}{8} = 2 \frac{5}{8}$$

Ответ: $$2 \frac{5}{8}$$

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5) $$4 \frac{4}{7} \cdot 2 \frac{11}{12} = \frac{4 \cdot 7 + 4}{7} \cdot \frac{2 \cdot 12 + 11}{12} = \frac{32}{7} \cdot \frac{35}{12} = \frac{8 \cdot 5}{1 \cdot 3} = \frac{40}{3} = 13 \frac{1}{3}$$

Ответ: $$13 \frac{1}{3}$$

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6) $$1 \frac{2}{13} \cdot 1 \frac{5}{8} \cdot 1 \frac{1}{7} = \frac{1 \cdot 13 + 2}{13} \cdot \frac{1 \cdot 8 + 5}{8} \cdot \frac{1 \cdot 7 + 1}{7} = \frac{15}{13} \cdot \frac{13}{8} \cdot \frac{8}{7} = \frac{15}{7} = 2 \frac{1}{7}$$

Ответ: $$2 \frac{1}{7}$$