16 1/3 ÷ 5 5/6 =

Для деления смешанных чисел нужно сначала перевести их в неправильные дроби, а затем умножить первую дробь на перевернутую вторую (обратную). 1. $16\frac{1}{3} \div 5\frac{5}{6} = \frac{49}{3} \div \frac{35}{6} = \frac{49}{3} \cdot \frac{6}{35} = \frac{7 \cdot 2}{1 \cdot 5} = \frac{14}{5} = 2\frac{4}{5}$ 2. $2\frac{2}{3} \div 2\frac{2}{7} = \frac{8}{3} \div \frac{16}{7} = \frac{8}{3} \cdot \frac{7}{16} = \frac{1 \cdot 7}{3 \cdot 2} = \frac{7}{6} = 1\frac{1}{6}$ 3. $4\frac{4}{9} \div \frac{5}{27} = \frac{40}{9} \div \frac{5}{27} = \frac{40}{9} \cdot \frac{27}{5} = \frac{8 \cdot 3}{1 \cdot 1} = 24$ 4. $2\frac{2}{9} \div 1\frac{7}{9} = \frac{20}{9} \div \frac{16}{9} = \frac{20}{9} \cdot \frac{9}{16} = \frac{20}{16} = \frac{5}{4} = 1\frac{1}{4}$ 5. $3\frac{1}{3} \div 2\frac{6}{7} = \frac{10}{3} \div \frac{20}{7} = \frac{10}{3} \cdot \frac{7}{20} = \frac{1 \cdot 7}{3 \cdot 2} = \frac{7}{6} = 1\frac{1}{6}$ 6. $3\frac{6}{7} \div \frac{9}{28} = \frac{27}{7} \div \frac{9}{28} = \frac{27}{7} \cdot \frac{28}{9} = \frac{3 \cdot 4}{1 \cdot 1} = 12$ 7. $5\frac{5}{6} \div \frac{7}{18} = \frac{35}{6} \div \frac{7}{18} = \frac{35}{6} \cdot \frac{18}{7} = \frac{5 \cdot 3}{1 \cdot 1} = 15$ 8. $2\frac{1}{4} \div 3\frac{3}{5} = \frac{9}{4} \div \frac{18}{5} = \frac{9}{4} \cdot \frac{5}{18} = \frac{1 \cdot 5}{4 \cdot 2} = \frac{5}{8}$ 9. $11\frac{2}{3} \div 3\frac{1}{9} = \frac{35}{3} \div \frac{28}{9} = \frac{35}{3} \cdot \frac{9}{28} = \frac{5 \cdot 3}{1 \cdot 4} = \frac{15}{4} = 3\frac{3}{4}$ 10. $8\frac{4}{9} \div 3\frac{4}{5} = \frac{76}{9} \div \frac{19}{5} = \frac{76}{9} \cdot \frac{5}{19} = \frac{4 \cdot 5}{9 \cdot 1} = \frac{20}{9} = 2\frac{2}{9}$ 11. $2\frac{1}{7} \div 4\frac{1}{6} \cdot 2\frac{1}{3} = \frac{15}{7} \div \frac{25}{6} \cdot \frac{7}{3} = \frac{15}{7} \cdot \frac{6}{25} \cdot \frac{7}{3} = \frac{3 \cdot 2 \cdot 1}{1 \cdot 5 \cdot 1} = \frac{6}{5} = 1\frac{1}{5}$