2. Найдите произведение: a) \(\frac{6}{17} \cdot 1\frac{8}{9}\) б) \(1\frac{7}{8} \cdot 1\frac{7}{15} \cdot 1\frac{7}{16}\)

Решение:

• а) \(\frac{6}{17} \cdot 1\frac{8}{9} = \frac{6}{17} \cdot \frac{17}{9} = \frac{6 \cdot 17}{17 \cdot 9} = \frac{6}{9} = \frac{2}{3}\)
• б) \(1\frac{7}{8} \cdot 1\frac{7}{15} \cdot 1\frac{7}{16} = \frac{15}{8} \cdot \frac{22}{15} \cdot \frac{23}{16} = \frac{15 \cdot 22 \cdot 23}{8 \cdot 15 \cdot 16} = \frac{22 \cdot 23}{8 \cdot 16} = \frac{11 \cdot 2 \cdot 23}{8 \cdot 16} = \frac{11 \cdot 23}{4 \cdot 16} = \frac{253}{64}\)

Ответ: а) \(\frac{2}{3}\), б) \(\frac{253}{64}\)