Решение примеров на деление дробей

Выполните деление: а) \( \frac{3}{8} : \frac{5}{7} = \frac{3}{8} \cdot \frac{7}{5} = \frac{21}{40} \) б) \( \frac{1}{5} : \frac{3}{4} = \frac{1}{5} \cdot \frac{4}{3} = \frac{4}{15} \) в) \( \frac{4}{5} : \frac{4}{7} = \frac{4}{5} \cdot \frac{7}{4} = \frac{7}{5} = 1\frac{2}{5} \) г) \( \frac{3}{16} : \frac{5}{12} = \frac{3}{16} \cdot \frac{12}{5} = \frac{3 \cdot 3}{4 \cdot 5} = \frac{9}{20} \) д) \( \frac{3}{5} : \frac{9}{25} = \frac{3}{5} \cdot \frac{25}{9} = \frac{1 \cdot 5}{1 \cdot 3} = \frac{5}{3} = 1\frac{2}{3} \) е) \( \frac{7}{8} : 2 = \frac{7}{8} \cdot \frac{1}{2} = \frac{7}{16} \) ж) \( \frac{3}{8} : 3 = \frac{3}{8} \cdot \frac{1}{3} = \frac{1}{8} \) з) \( 5 : \frac{2}{5} = 5 \cdot \frac{5}{2} = \frac{25}{2} = 12\frac{1}{2} \) и) \( 8 : \frac{4}{5} = 8 \cdot \frac{5}{4} = 2 \cdot 5 = 10 \) к) \( \frac{3}{7} : \frac{1}{2} = \frac{3}{7} \cdot 2 = \frac{6}{7} \) л) \( 3\frac{1}{2} : \frac{2}{3} = \frac{7}{2} \cdot \frac{3}{2} = \frac{21}{4} = 5\frac{1}{4} \) м) \( 4\frac{1}{2} : 1\frac{1}{2} = \frac{9}{2} : \frac{3}{2} = \frac{9}{2} \cdot \frac{2}{3} = 3 \) н) \( 1\frac{2}{3} : 1\frac{1}{10} = \frac{5}{3} : \frac{11}{10} = \frac{5}{3} \cdot \frac{10}{11} = \frac{50}{33} = 1\frac{17}{33} \) о) \( 10\frac{1}{3} : 2\frac{2}{3} = \frac{31}{3} : \frac{8}{3} = \frac{31}{3} \cdot \frac{3}{8} = \frac{31}{8} = 3\frac{7}{8} \) п) \( \frac{4}{15} : 3\frac{1}{15} = \frac{4}{15} : \frac{46}{15} = \frac{4}{15} \cdot \frac{15}{46} = \frac{4}{46} = \frac{2}{23} \) р) \( 4\frac{3}{4} : 3 = \frac{19}{4} \cdot \frac{1}{3} = \frac{19}{12} = 1\frac{7}{12} \) с) \( 1 : \frac{3}{11} = 1 \cdot \frac{11}{3} = \frac{11}{3} = 3\frac{2}{3} \) т) \( 0 : 5\frac{1}{18} = 0 \) у) \( 3\frac{1}{4} : 1 = 3\frac{1}{4} \) ф) \( 3\frac{7}{39} : 1\frac{5}{31} = \frac{124}{39} : \frac{36}{31} = \frac{124}{39} \cdot \frac{31}{36} = \frac{31 \cdot 31}{39 \cdot 9} = \frac{961}{351} = 2\frac{259}{351} \)