1. Выполните деление: 2) \(\frac{2}{15}\) д) \(\frac{8}{27} : \frac{8}{9}\) е) \(57 : \frac{19}{24}\) ж) \(\frac{14}{39} : \frac{21}{52}\) 3) \(11\frac{2}{5} : 3\frac{4}{5}\) б) \(4\frac{1}{2} : 5\frac{1}{4}\) и) \(9\frac{5}{7} : 1\frac{23}{28}\) к) \(\frac{36}{47} : 18\) п) \(\frac{16}{17} : 8\) м) \(12 : \frac{6}{7}\) г) \(48 : \frac{12}{13}\) r) \(\frac{15}{16} : 5\)

Решение:

д) \( \frac{8}{27} : \frac{8}{9} = \frac{8}{27} \cdot \frac{9}{8} = \frac{9}{27} = \frac{1}{3} \)

е) \( 57 : \frac{19}{24} = 57 \cdot \frac{24}{19} = 3 \cdot 24 = 72 \)

ж) \( \frac{14}{39} : \frac{21}{52} = \frac{14}{39} \cdot \frac{52}{21} = \frac{14 \cdot 52}{39 \cdot 21} = \frac{2 \cdot 7 \cdot 4 \cdot 13}{3 \cdot 13 \cdot 3 \cdot 7} = \frac{2 \cdot 4}{3 \cdot 3} = \frac{8}{9} \)

3) \( 11\frac{2}{5} : 3\frac{4}{5} = \frac{57}{5} : \frac{19}{5} = \frac{57}{5} \cdot \frac{5}{19} = \frac{57}{19} = 3 \)

б) \( 4\frac{1}{2} : 5\frac{1}{4} = \frac{9}{2} : \frac{21}{4} = \frac{9}{2} \cdot \frac{4}{21} = \frac{9 \cdot 4}{2 \cdot 21} = \frac{3 \cdot 2}{7} = \frac{6}{7} \)

и) \( 9\frac{5}{7} : 1\frac{23}{28} = \frac{68}{7} : \frac{51}{28} = \frac{68}{7} \cdot \frac{28}{51} = \frac{68 \cdot 28}{7 \cdot 51} = \frac{4 \cdot 17 \cdot 4 \cdot 7}{7 \cdot 3 \cdot 17} = \frac{4 \cdot 4}{3} = \frac{16}{3} = 5\frac{1}{3} \)

к) \( \frac{36}{47} : 18 = \frac{36}{47} \cdot \frac{1}{18} = \frac{36}{47 \cdot 18} = \frac{2}{47} \)

п) \( \frac{16}{17} : 8 = \frac{16}{17} \cdot \frac{1}{8} = \frac{16}{17 \cdot 8} = \frac{2}{17} \)

м) \( 12 : \frac{6}{7} = 12 \cdot \frac{7}{6} = 2 \cdot 7 = 14 \)

г) \( 48 : \frac{12}{13} = 48 \cdot \frac{13}{12} = 4 \cdot 13 = 52 \)

r) \( \frac{15}{16} : 5 = \frac{15}{16} \cdot \frac{1}{5} = \frac{15}{16 \cdot 5} = \frac{3}{16} \)

Ответ:

д) \( \frac{1}{3} \)

е) \( 72 \)

ж) \( \frac{8}{9} \)

3) \( 3 \)

б) \( \frac{6}{7} \)

и) \( 5\frac{1}{3} \)

к) \( \frac{2}{47} \)

п) \( \frac{2}{17} \)

м) \( 14 \)

г) \( 52 \)

r) \( \frac{3}{16} \)