4. Выполните деление 2 1/3 : 1 2/9 = 5/18 : 25/27 = 4/15 : 8 = 1 1/7 : 1 3/14 =

Решение:

• \[ 2\frac{1}{3} : 1\frac{2}{9} = \frac{7}{3} : \frac{11}{9} = \frac{7}{3} \cdot \frac{9}{11} = \frac{63}{33} = \frac{21}{11} = 1\frac{10}{11} \]
• \[ \frac{5}{18} : \frac{25}{27} = \frac{5}{18} \cdot \frac{27}{25} = \frac{5 \cdot 27}{18 \cdot 25} = \frac{135}{450} = \frac{3}{10} \]
• \[ \frac{4}{15} : 8 = \frac{4}{15} \cdot \frac{1}{8} = \frac{4}{120} = \frac{1}{30} \]
• \[ 1\frac{1}{7} : 1\frac{3}{14} = \frac{8}{7} : \frac{17}{14} = \frac{8}{7} \cdot \frac{14}{17} = \frac{8 \cdot 14}{7 \cdot 17} = \frac{112}{119} = \frac{16}{17} \]

Ответ: 1) 1 10/11; 2) 3/10; 3) 1/30; 4) 16/17