Ответ:

  1. \(\frac{6}{11}\cdot\frac{4}{7}=\frac{24}{77}\).
  2. \(\frac{7}{20}\cdot\frac{10}{21}=\frac{1}{6}\).
  3. \(\frac{8}{9}\cdot\frac{27}{32}=\frac{3}{4}\).
  4. \(\frac{23}{28}\cdot\frac{49}{46}=\frac{7}{8}\).
  5. \(\frac{34}{86}\cdot\frac{43}{51}=\frac{1}{3}\).
  6. \(\frac{7}{18}\cdot\frac{90}{77}=\frac{5}{11}\).
  7. \(\frac{63}{64}\cdot\frac{48}{91}=\frac{9}{?}\) Проверим сокращение: \(63/91=9/13\), \(48/64=3/4\), поэтому \(\frac{9}{13}\cdot\frac{3}{4}=\frac{27}{52}\).
  8. \(\frac{19}{100}\cdot\frac{5}{38}=\frac{1}{40}\).