1. Найдите значение выражения: a) \(4\frac{4}{9}:2\frac{2}{3}\); б) \(\frac{2\frac{1}{4}}{\frac{7}{18}}\); в) 16,8 : \(\frac{2,8}{1}\); г) \(\frac{1,21}{3\frac{2}{3}}\).

а) \(4\frac{4}{9}:2\frac{2}{3} = \frac{4 \cdot 9 + 4}{9} : \frac{2 \cdot 3 + 2}{3} = \frac{40}{9} : \frac{8}{3} = \frac{40}{9} \cdot \frac{3}{8} = \frac{40 \cdot 3}{9 \cdot 8} = \frac{5 \cdot 1}{3 \cdot 1} = \frac{5}{3} = 1\frac{2}{3}\) б) \(\frac{2\frac{1}{4}}{\frac{7}{18}} = 2\frac{1}{4} : \frac{7}{18} = \frac{2 \cdot 4 + 1}{4} : \frac{7}{18} = \frac{9}{4} : \frac{7}{18} = \frac{9}{4} \cdot \frac{18}{7} = \frac{9 \cdot 18}{4 \cdot 7} = \frac{9 \cdot 9}{2 \cdot 7} = \frac{81}{14} = 5\frac{11}{14}\) в) \(16,8 : \frac{2,8}{1} = 16,8 : 2,8 = 6\) г) \(\frac{1,21}{3\frac{2}{3}} = 1,21 : 3\frac{2}{3} = 1,21 : \frac{3 \cdot 3 + 2}{3} = 1,21 : \frac{11}{3} = \frac{121}{100} : \frac{11}{3} = \frac{121}{100} \cdot \frac{3}{11} = \frac{11}{100} \cdot \frac{3}{1} = \frac{33}{100} = 0,33\) Ответ: а) \(1\frac{2}{3}\); б) \(5\frac{11}{14}\); в) 6; г) 0,33