Вопрос:

9. Приведите к наименьшему общему знаменателю дроби: 3/4 и 1/5; 4/7 и 7/14; 5/12 и 3/9; 5/14 и 4/21; 1/12 и 2/20; 4/13 и 2/3.

Ответ:

  1. НОЗ(4,5)=20: \(\frac{3}{4}=\frac{15}{20}\), \(\frac{1}{5}=\frac{4}{20}\).
  2. НОЗ(7,14)=14: \(\frac{4}{7}=\frac{8}{14}\), \(\frac{7}{14}=\frac{7}{14}\).
  3. НОЗ(12,9)=36: \(\frac{5}{12}=\frac{15}{36}\), \(\frac{3}{9}=\frac{12}{36}\).
  4. НОЗ(14,21)=42: \(\frac{5}{14}=\frac{15}{42}\), \(\frac{4}{21}=\frac{8}{42}\).
  5. НОЗ(12,20)=60: \(\frac{1}{12}=\frac{5}{60}\), \(\frac{2}{20}=\frac{6}{60}\).
  6. НОЗ(13,3)=39: \(\frac{4}{13}=\frac{12}{39}\), \(\frac{2}{3}=\frac{26}{39}\).