1) \(\frac{6}{11} \cdot \frac{4}{7} = \frac{6 \cdot 4}{11 \cdot 7} = \frac{24}{77}\)
2) \(\frac{7}{20} \cdot \frac{10}{21} = \frac{7 \cdot 10}{20 \cdot 21} = \frac{70}{420} = \frac{1}{6}\)
3) \(\frac{8}{9} \cdot \frac{27}{32} = \frac{8 \cdot 27}{9 \cdot 32} = \frac{216}{288} = \frac{3}{4}\)
4) \(\frac{23}{28} \cdot \frac{49}{46} = \frac{23 \cdot 49}{28 \cdot 46} = \frac{1127}{1288} = \frac{49}{56} = \frac{7}{8}\)
5) \(\frac{34}{86} \cdot \frac{43}{51} = \frac{34 \cdot 43}{86 \cdot 51} = \frac{1462}{4386} = \frac{1}{3}\)
6) \(\frac{7}{18} \cdot \frac{90}{77} = \frac{7 \cdot 90}{18 \cdot 77} = \frac{630}{1386} = \frac{5}{11}\)
7) \(\frac{63}{64} \cdot \frac{48}{91} = \frac{63 \cdot 48}{64 \cdot 91} = \frac{3024}{5824} = \frac{27}{52}\)
8) \(\frac{19}{100} \cdot \frac{5}{38} = \frac{19 \cdot 5}{100 \cdot 38} = \frac{95}{3800} = \frac{1}{40}\)