Ответ:

\[ \frac{5}{7} \div \frac{21}{15} \div \frac{9}{24} = \frac{5}{7} \cdot \frac{15}{21} \cdot \frac{24}{9} = \frac{5 \cdot 15 \cdot 24}{7 \cdot 21 \cdot 9} = \frac{1800}{1323} = \frac{200}{147} = 1\frac{53}{147} \]

Ответ: \(1\frac{53}{147}\)