\[\frac{18}{35}\cdot\frac{5}{21}:\frac{36}{49}=\frac{18}{35}\cdot\frac{5}{21}\cdot\frac{49}{36}\]
Сократим множители:
\[\frac{1}{7}\cdot\frac{5}{21}\cdot\frac{49}{2}=\frac{5}{6}\]
Ответ: \(\frac{5}{6}\).