Вариант 1. Решение:
- Выполните деление:
- a) \( \frac{6}{25} : \frac{5}{5} = \frac{6}{25} \cdot \frac{5}{5} = \frac{6}{25} \cdot 1 = \frac{6}{25} \)
- б) \( \frac{2}{3} : \frac{1}{8} = \frac{2}{3} \cdot \frac{8}{1} = \frac{16}{3} = 5 \frac{1}{3} \)
- в) \( \frac{3}{2} : \frac{8}{3} = \frac{3}{2} \cdot \frac{3}{8} = \frac{9}{16} \)
- г) \( 4\frac{1}{11} : \frac{19}{22} = \frac{45}{11} : \frac{19}{22} = \frac{45}{11} \cdot \frac{22}{19} = \frac{45 \cdot 2}{19} = \frac{90}{19} = 4\frac{14}{19} \)
- д) \( 6\frac{3}{8} : \frac{9}{16} = \frac{51}{8} : \frac{9}{16} = \frac{51}{8} \cdot \frac{16}{9} = \frac{51 \cdot 2}{9} = \frac{102}{9} = \frac{34}{3} = 11\frac{1}{3} \)
- е) \( 4\frac{5}{8} : \frac{12}{13} = \frac{37}{8} : \frac{12}{13} = \frac{37}{8} \cdot \frac{13}{12} = \frac{481}{96} = 5\frac{1}{96} \)
- ж) \( \frac{14}{39} : \frac{21}{52} = \frac{14}{39} \cdot \frac{52}{21} = \frac{2 \cdot 2}{3 \cdot 3} = \frac{4}{9} \)
- з) \( 3\frac{1}{5} : \frac{9}{13} = \frac{16}{5} : \frac{9}{13} = \frac{16}{5} \cdot \frac{13}{9} = \frac{208}{45} = 4\frac{28}{45} \)
- и) \( 9\frac{5}{7} : \frac{1}{28} = \frac{68}{7} : \frac{1}{28} = \frac{68}{7} \cdot \frac{28}{1} = 68 \cdot 4 = 272 \)
- к) \( \frac{36}{47} : \frac{18}{47} = \frac{36}{47} \cdot \frac{47}{18} = \frac{36}{18} = 2 \)
- л) \( \frac{16}{17} : \frac{8}{17} = \frac{16}{17} \cdot \frac{17}{8} = \frac{16}{8} = 2 \)
- м) \( 12 \text{:} 7 \text{:} 8 \text{:} 16 = \frac{12}{7} : \frac{8}{16} = \frac{12}{7} : \frac{1}{2} = \frac{12}{7} \cdot 2 = \frac{24}{7} = 3\frac{3}{7} \)
- н) \( 14 : \frac{7}{8} = 14 \cdot \frac{8}{7} = 2 \cdot 8 = 16 \)
- о) \( \frac{15}{16} : \frac{5}{6} = \frac{15}{16} \cdot \frac{6}{5} = \frac{3 \cdot 3}{8 \cdot 1} = \frac{9}{8} = 1\frac{1}{8} \)
Ответ: а) 6/25; б) 16/3; в) 9/16; г) 90/19; д) 34/3; е) 481/96; ж) 4/9; з) 208/45; и) 272; к) 2; л) 2; м) 24/7; н) 16; о) 9/8.