Задание 5 Выполните деление: 3.5 5 25 1) :; 2) :; 4 18 27 3) 9:3; 1664' 4) Найдите частное: 1) 8:4; 25 45 : 72 63 3):24; 5) 10:5 2) 1:4) 12:30: 6) 2010: 132.

Ответ:

Выполните деление:

1) \(\frac{3}{4} : \frac{5}{7} = \frac{3}{4} \cdot \frac{7}{5} = \frac{3 \cdot 7}{4 \cdot 5} = \frac{21}{20} = 1\frac{1}{20}\)

2) \(\frac{5}{18} : \frac{25}{27} = \frac{5}{18} \cdot \frac{27}{25} = \frac{5 \cdot 27}{18 \cdot 25} = \frac{135}{450} = \frac{3}{10}\)

3) \(\frac{9}{16} : \frac{3}{64} = \frac{9}{16} \cdot \frac{64}{3} = \frac{9 \cdot 64}{16 \cdot 3} = \frac{576}{48} = 12\)

4) \(\frac{25}{72} : \frac{45}{63} = \frac{25}{72} \cdot \frac{63}{45} = \frac{25 \cdot 63}{72 \cdot 45} = \frac{1575}{3240} = \frac{35}{72}\)

Найдите частное:

1) \(8 : \frac{4}{5} = 8 \cdot \frac{5}{4} = \frac{8 \cdot 5}{4} = \frac{40}{4} = 10\)

2) \(1 : \frac{7}{16} = 1 \cdot \frac{16}{7} = \frac{16}{7} = 2\frac{2}{7}\)

3) \(\frac{8}{15} : 24 = \frac{8}{15} \cdot \frac{1}{24} = \frac{8 \cdot 1}{15 \cdot 24} = \frac{8}{360} = \frac{1}{45}\)

4) \(12\frac{1}{2} : 3\frac{3}{4} = \frac{12 \cdot 2 + 1}{2} : \frac{3 \cdot 4 + 3}{4} = \frac{25}{2} : \frac{15}{4} = \frac{25}{2} \cdot \frac{4}{15} = \frac{25 \cdot 4}{2 \cdot 15} = \frac{100}{30} = \frac{10}{3} = 3\frac{1}{3}\)

5) \(1\frac{3}{5} : 5\frac{1}{3} = \frac{1 \cdot 5 + 3}{5} : \frac{5 \cdot 3 + 1}{3} = \frac{8}{5} : \frac{16}{3} = \frac{8}{5} \cdot \frac{3}{16} = \frac{8 \cdot 3}{5 \cdot 16} = \frac{24}{80} = \frac{3}{10}\)

6) \(2\frac{5}{8} : \frac{7}{32} = \frac{2 \cdot 8 + 5}{8} : \frac{7}{32} = \frac{21}{8} : \frac{7}{32} = \frac{21}{8} \cdot \frac{32}{7} = \frac{21 \cdot 32}{8 \cdot 7} = \frac{672}{56} = 12\)

Ответ: 1) \(1\frac{1}{20}\); 2) \(\frac{3}{10}\); 3) 12; 4) \(\frac{35}{72}\); 1) 10; 2) \(2\frac{2}{7}\); 3) \(\frac{1}{45}\); 4) \(3\frac{1}{3}\); 5) \(\frac{3}{10}\); 6) 12