Вопрос:

Вычислите: 6/7 : 7; 6/7 : 6; 6/13 : 3; 8/5 : 12; 6/7 : 9; 6/11 : 4; 1/40 : 30; 1 1/49 : 50; 1 13/17 : 3; 15 35/39 : 5; 8 6/7 : 2; 12 6/7 : 6.

Ответ:

  1. \(\frac{6}{7}:7=\frac{6}{7}\cdot\frac{1}{7}=\frac{6}{49}\).
  2. \(\frac{6}{7}:6=\frac{6}{7}\cdot\frac{1}{6}=\frac{1}{7}\).
  3. \(\frac{6}{13}:3=\frac{6}{13}\cdot\frac{1}{3}=\frac{2}{13}\).
  4. \(\frac{8}{5}:12=\frac{8}{5}\cdot\frac{1}{12}=\frac{2}{15}\).
  5. \(\frac{6}{7}:9=\frac{6}{7}\cdot\frac{1}{9}=\frac{2}{21}\).
  6. \(\frac{6}{11}:4=\frac{6}{11}\cdot\frac{1}{4}=\frac{3}{22}\).
  7. \(\frac{1}{40}:30=\frac{1}{40}\cdot\frac{1}{30}=\frac{1}{1200}\).
  8. \(1\frac{1}{49}:50=\frac{50}{49}:50=\frac{50}{49}\cdot\frac{1}{50}=\frac{1}{49}\).
  9. \(1\frac{13}{17}:3=\frac{30}{17}:3=\frac{30}{17}\cdot\frac{1}{3}=\frac{10}{17}\).
  10. \(15\frac{35}{39}:5=\frac{620}{39}:5=\frac{620}{39}\cdot\frac{1}{5}=\frac{124}{39}=3\frac{7}{39}\).
  11. \(8\frac{6}{7}:2=\frac{62}{7}:2=\frac{62}{7}\cdot\frac{1}{2}=\frac{31}{7}=4\frac{3}{7}\).
  12. \(12\frac{6}{7}:6=\frac{90}{7}:6=\frac{90}{7}\cdot\frac{1}{6}=\frac{15}{7}=2\frac{1}{7}\).
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