1) $$|a| \div |b| = |4\frac{2}{7}| \div |-3\frac{3}{4}| = \frac{30}{7} \div \frac{15}{4} = \frac{30}{7} \cdot \frac{4}{15} = \frac{2}{7} \cdot \frac{4}{1} = \frac{8}{7} = 1\frac{1}{7}$$.
2) $$|a| \div |b| = |-8.64| \div |0.08| = 8.64 \div 0.08 = 864 \div 8 = 108$$.
Ответ: 1) 1; 2) 108.