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МатематикаВопрос:
362 a) \(\frac{4}{9} : \frac{2}{5}\) б) \(\frac{2}{9} : \frac{4}{3}\) в) \(\frac{7}{12} : \frac{21}{16}\) г) \(\frac{15}{16} : \frac{3}{10}\) д) \(\frac{36}{49} : \frac{6}{7}\) е) \(\frac{20}{9} : 8\) ж) \(\frac{4}{35} : \frac{8}{5}\) 3) \(\frac{3}{10} : \frac{7}{100}\)
Ответ:
Решение:
- \(\frac{4}{9} : \frac{2}{5} = \frac{4}{9} \cdot \frac{5}{2} = \frac{4 \cdot 5}{9 \cdot 2} = \frac{2 \cdot 5}{9} = \frac{10}{9}\)
- \(\frac{2}{9} : \frac{4}{3} = \frac{2}{9} \cdot \frac{3}{4} = \frac{2 \cdot 3}{9 \cdot 4} = \frac{1 \cdot 1}{3 \cdot 2} = \frac{1}{6}\)
- \(\frac{7}{12} : \frac{21}{16} = \frac{7}{12} \cdot \frac{16}{21} = \frac{7 \cdot 16}{12 \cdot 21} = \frac{1 \cdot 4}{3 \cdot 3} = \frac{4}{9}\)
- \(\frac{15}{16} : \frac{3}{10} = \frac{15}{16} \cdot \frac{10}{3} = \frac{15 \cdot 10}{16 \cdot 3} = \frac{5 \cdot 5}{8 \cdot 1} = \frac{25}{8}\)
- \(\frac{36}{49} : \frac{6}{7} = \frac{36}{49} \cdot \frac{7}{6} = \frac{36 \cdot 7}{49 \cdot 6} = \frac{6 \cdot 1}{7 \cdot 1} = \frac{6}{7}\)
- \(\frac{20}{9} : 8 = \frac{20}{9} \cdot \frac{1}{8} = \frac{20}{72} = \frac{5}{18}\)
- \(\frac{4}{35} : \frac{8}{5} = \frac{4}{35} \cdot \frac{5}{8} = \frac{4 \cdot 5}{35 \cdot 8} = \frac{1 \cdot 1}{7 \cdot 2} = \frac{1}{14}\)
- \(\frac{3}{10} : \frac{7}{100} = \frac{3}{10} \cdot \frac{100}{7} = \frac{3 \cdot 100}{10 \cdot 7} = \frac{3 \cdot 10}{7} = \frac{30}{7}\)
Похожие
- 289 Найди значение выражения: a) \(\frac{3}{11} \cdot \frac{22}{45}\) б) \(\frac{12}{7} : \frac{14}{27}\) в) \(\frac{18}{39} : \frac{13}{36}\) г) \(\frac{24}{17} : \frac{51}{40}\) д) \(\left(\frac{1}{6}\right)^2\) е) \(\left(\frac{2}{3}\right)^2\) ж) \(\left(\frac{7}{8}\right)^2\)
- 363 a) \(\frac{5}{11} : 3\) б) \(\frac{1}{3} : 4\) в) \(\frac{20}{9} : 8\) г) \(\frac{14}{15} : 12\) д) \(\frac{56}{13} : 7\) е) \(\frac{27}{11} : 18\)
- № 1 1) \(6 - 2\frac{7}{8}\) 2) \(5\frac{1}{3} + 2\frac{3}{15}\) 3) \(9\frac{5}{6} - 3\) 4) \(7\frac{1}{4} - 3\frac{3}{5}\) 5) \(2\frac{8}{14} + 6\frac{18}{21}\) 6) \(10 - 4\frac{2}{5}\) 7) \(8\frac{1}{9} - 5\frac{5}{6}\) 8) \(1\frac{3}{10} + 3\frac{2}{5}\) 9) \(9\frac{1}{3} - 5\frac{2}{7}\) 10) \(4\frac{2}{3} - 1\frac{1}{6}\) 11) \(6\frac{2}{7} + 10\) 12) \(7\frac{11}{16} + 2\frac{13}{24}\) 13) \(12 - 5\frac{13}{18}\) 14) \(10\frac{18}{25} - 8\) 15) \(8\frac{11}{20} + 5\frac{13}{24}\) 16) \(9\frac{17}{24} - 7\) 17) \(9 - 7\frac{18}{20}\) 18) \(12\frac{3}{7} + 4\frac{11}{9}\) 19) \(6\frac{11}{20} + 4\frac{7}{15}\) 20) \(5\frac{13}{16} + 3\) 21) \(10\frac{1}{18} - 4\frac{2}{3}\) 22) \(8 - 1\frac{5}{6}\) 23) \(7\frac{12}{16} - 4\) 24) \(2\frac{5}{6} + 1\frac{3}{4}\)
