461 Найдите частное: a) $$5 \frac{2}{15} : 2$$; б) $$\frac{2}{3} : \frac{8}{9}$$; в) $$\frac{64}{131} : \frac{32}{52}$$; г) $$\frac{64}{125} : 4$$; д) $$9 : \frac{3}{4}$$; е) $$9 : 4$$; ж) $$13 \frac{1}{7} : 1 \frac{1}{14}$$; и) $$3 \frac{8}{19} : 5 \frac{15}{38}$$; к) $$4 \frac{17}{36} : 1 \frac{19}{6}$$; л) $$5 \frac{6}{11} : 1 \frac{1}{11}$$.

Выполним вычисления по порядку: а) $$5 \frac{2}{15} : 2 = \frac{77}{15} : 2 = \frac{77}{15} \cdot \frac{1}{2} = \frac{77}{30} = 2 \frac{17}{30}$$; б) $$\frac{2}{3} : \frac{8}{9} = \frac{2}{3} \cdot \frac{9}{8} = \frac{18}{24} = \frac{3}{4}$$; в) $$\frac{64}{131} : \frac{32}{52} = \frac{64}{131} \cdot \frac{52}{32} = \frac{2}{131} \cdot \frac{52}{1} = \frac{2}{131} \cdot \frac{4 \cdot 13}{1} = \frac{8}{10 \cdot 13 + 1} = \frac{8}{101}$$; г) $$\frac{64}{125} : 4 = \frac{64}{125} \cdot \frac{1}{4} = \frac{16}{125}$$; д) $$9 : \frac{3}{4} = 9 \cdot \frac{4}{3} = 3 \cdot 4 = 12$$; е) $$9 : 4 = \frac{9}{4} = 2 \frac{1}{4}$$; ж) $$13 \frac{1}{7} : 1 \frac{1}{14} = \frac{92}{7} : \frac{15}{14} = \frac{92}{7} \cdot \frac{14}{15} = \frac{92 \cdot 2}{15} = \frac{184}{15} = 12 \frac{4}{15}$$; и) $$3 \frac{8}{19} : 5 \frac{15}{38} = \frac{65}{19} : \frac{205}{38} = \frac{65}{19} \cdot \frac{38}{205} = \frac{13 \cdot 5}{19} \cdot \frac{2 \cdot 19}{41 \cdot 5} = \frac{13 \cdot 2}{41} = \frac{26}{41}$$; к) $$4 \frac{17}{36} : 1 \frac{19}{6} = \frac{161}{36} : \frac{25}{6} = \frac{161}{36} \cdot \frac{6}{25} = \frac{161}{6 \cdot 6} \cdot \frac{6}{25} = \frac{161}{6 \cdot 25} = \frac{161}{150} = 1 \frac{11}{150}$$; л) $$5 \frac{6}{11} : 1 \frac{1}{11} = \frac{61}{11} : \frac{12}{11} = \frac{61}{11} \cdot \frac{11}{12} = \frac{61}{12} = 5 \frac{1}{12}$$.