1) $$8 \frac{1}{3} - 9 \cdot 2 \frac{2}{3} - 4 \frac{3}{4} \div \frac{5}{24} = \frac{25}{3} - 9 \cdot \frac{8}{3} - \frac{19}{4} \cdot \frac{24}{5} = \frac{25}{3} - \frac{72}{3} - \frac{19 \cdot 6}{5} = \frac{25}{3} - \frac{72}{3} - \frac{114}{5} = \frac{25 \cdot 5 - 72 \cdot 5 - 114 \cdot 3}{15} = \frac{125 - 360 - 342}{15} = \frac{-577}{15} = -38 \frac{7}{15}$$
2) $$1 \frac{2}{48} - \frac{2}{5} \cdot (9 \frac{1}{6} + 2 \frac{5}{9}) \div \frac{1}{4} = 1 \frac{1}{24} - \frac{2}{5} \cdot (\frac{55}{6} + \frac{23}{9}) \cdot 4 = \frac{25}{24} - \frac{8}{5} \cdot (\frac{55 \cdot 3}{6 \cdot 3} + \frac{23 \cdot 2}{9 \cdot 2}) \cdot 4 = \frac{25}{24} - \frac{2}{5} \cdot (\frac{165}{18} + \frac{46}{18}) \cdot 4 = \frac{25}{24} - \frac{2}{5} \cdot (\frac{211}{18}) \cdot 4 = \frac{25}{24} - \frac{2 \cdot 211 \cdot 4}{5 \cdot 18} = \frac{25}{24} - \frac{2 \cdot 211 \cdot 2}{5 \cdot 9} = \frac{25}{24} - \frac{844}{45} = \frac{25 \cdot 15 - 844 \cdot 8}{360} = \frac{375 - 6752}{360} = \frac{-6377}{360} = -17 \frac{257}{360}$$