Реши примеры с дробями из изображения

Конечно, давай решим эти примеры по порядку! 1. $1 \div (\frac{1}{4} + \frac{2}{9}) \cdot \frac{18}{19} = 1 \div (\frac{9}{36} + \frac{8}{36}) \cdot \frac{18}{19} = 1 \div \frac{17}{36} \cdot \frac{18}{19} = \frac{36}{17} \cdot \frac{18}{19} = \frac{648}{323} = 2 \frac{2}{323}$$ 2. $2 \cdot (\frac{3}{8} - \frac{1}{4}) \cdot \frac{48}{53} = 2 \cdot (\frac{3}{8} - \frac{2}{8}) \cdot \frac{48}{53} = 2 \cdot \frac{1}{8} \cdot \frac{48}{53} = \frac{2}{8} \cdot \frac{48}{53} = \frac{1}{4} \cdot \frac{48}{53} = \frac{48}{212} = \frac{12}{53}$$ 3. $3 \cdot (7 + \frac{3}{6}) \div \frac{1}{6} = 3 \cdot (7 + \frac{1}{2}) \div \frac{1}{6} = 3 \cdot \frac{15}{2} \div \frac{1}{6} = \frac{45}{2} \div \frac{1}{6} = \frac{45}{2} \cdot 6 = \frac{270}{2} = 135$ 4. $\frac{4}{9} \cdot \frac{10}{3} - \frac{2}{3} = \frac{40}{27} - \frac{2}{3} = \frac{40}{27} - \frac{18}{27} = \frac{22}{27}$$ 5. $5 \cdot (\frac{4}{9} + \frac{2}{3}) \div \frac{16}{15} = 5 \cdot (\frac{4}{9} + \frac{6}{9}) \div \frac{16}{15} = 5 \cdot \frac{10}{9} \div \frac{16}{15} = \frac{50}{9} \div \frac{16}{15} = \frac{50}{9} \cdot \frac{15}{16} = \frac{750}{144} = \frac{125}{24} = 5 \frac{5}{24}$$ 6. $\frac{7}{8} - 1 \frac{1}{2} = \frac{7}{8} - \frac{3}{2} = \frac{7}{8} - \frac{12}{8} = -\frac{5}{8}$$ 7. $\frac{7}{9} \cdot 25 \frac{3}{5} = \frac{7}{9} \cdot \frac{128}{5} = \frac{896}{45} = 19 \frac{41}{45}$$ 8. $\frac{11}{14} - \frac{3}{7} = \frac{11}{14} - \frac{6}{14} = \frac{5}{14}$$ 9. $9 \cdot (\frac{4}{7} + \frac{3}{5}) \cdot \frac{15}{17} = 9 \cdot (\frac{20}{35} + \frac{21}{35}) \cdot \frac{15}{17} = 9 \cdot \frac{41}{35} \cdot \frac{15}{17} = \frac{369}{35} \cdot \frac{15}{17} = \frac{5535}{595} = \frac{1107}{119} = 9 \frac{36}{119}$$ 10. $10 \cdot (\frac{5}{6} - \frac{1}{3}) \div \frac{19}{44} = 10 \cdot (\frac{5}{6} - \frac{2}{6}) \div \frac{19}{44} = 10 \cdot \frac{3}{6} \div \frac{19}{44} = 10 \cdot \frac{1}{2} \div \frac{19}{44} = 5 \div \frac{19}{44} = 5 \cdot \frac{44}{19} = \frac{220}{19} = 11 \frac{11}{19}$$ 11. $\frac{7}{20} \div \frac{15}{14} = \frac{7}{20} \cdot \frac{14}{15} = \frac{98}{300} = \frac{49}{150}$$ 12. $\frac{14}{15} \cdot \frac{25}{2} = \frac{350}{30} = \frac{35}{3} = 11 \frac{2}{3}$$ 13. $\frac{9}{10} \cdot \frac{5}{12} = \frac{45}{120} = \frac{3}{8}$ 14. $35 \frac{1}{12} \div 4 = \frac{421}{12} \div 4 = \frac{421}{12} \cdot \frac{1}{4} = \frac{421}{48} = 8 \frac{37}{48}$$ 15. $1 \frac{1}{12} \div \frac{1}{3} = \frac{13}{12} \div \frac{1}{3} = \frac{13}{12} \cdot 3 = \frac{39}{12} = \frac{13}{4} = 3 \frac{1}{4}$$ 16. $25 \frac{6}{45} \div \frac{6}{24} = 25 \frac{2}{15} \div \frac{6}{24} = \frac{377}{15} \div \frac{1}{4} = \frac{377}{15} \cdot 4 = \frac{1508}{15} = 100 \frac{8}{15}$