№6. Выполните действия: а) \(\frac{16}{33}\cdot\frac{55}{64}\); б) \(\frac{17}{28}\cdot\frac{42}{51}\); в) \(\frac{23}{33}\cdot\frac{46}{77}\); г) \(\frac{2}{5}\cdot\frac{6}{55}\).

1. \(\frac{16}{33}\cdot\frac{55}{64}=\frac{1}{3}\cdot\frac{5}{4}=\frac{5}{12}\).
2. \(\frac{17}{28}\cdot\frac{42}{51}=\frac{17}{2}\cdot\frac{3}{51}=\frac{1}{2}\).
3. \(\frac{23}{33}\cdot\frac{46}{77}=\frac{23\cdot46}{33\cdot77}=\frac{1058}{2541}\).
4. \(\frac{2}{5}\cdot\frac{6}{55}=\frac{12}{275}\).

Ответ: а) \(\frac{5}{12}\); б) \(\frac{1}{2}\); в) \(\frac{1058}{2541}\); г) \(\frac{12}{275}\).