Вопрос:

Приведите к наименьшему общему знаменателю дроби: а) 3/5 и 1/4; б) 3/7 и 2/5; в) 3/16 и 3/2; г) 3/20 и 7/10; д) 3/4 и 5/6; е) 7/12 и 5/8.

Ответ:

  1. а) НОЗ(5, 4) = 20: \(\frac{3}{5}=\frac{12}{20}\), \(\frac{1}{4}=\frac{5}{20}\).
  2. б) НОЗ(7, 5) = 35: \(\frac{3}{7}=\frac{15}{35}\), \(\frac{2}{5}=\frac{14}{35}\).
  3. в) НОЗ(16, 2) = 16: \(\frac{3}{16}=\frac{3}{16}\), \(\frac{3}{2}=\frac{24}{16}\).
  4. г) НОЗ(20, 10) = 20: \(\frac{3}{20}=\frac{3}{20}\), \(\frac{7}{10}=\frac{14}{20}\).
  5. д) НОЗ(4, 6) = 12: \(\frac{3}{4}=\frac{9}{12}\), \(\frac{5}{6}=\frac{10}{12}\).
  6. е) НОЗ(12, 8) = 24: \(\frac{7}{12}=\frac{14}{24}\), \(\frac{5}{8}=\frac{15}{24}\).

Ответ: а) \(\frac{12}{20}\) и \(\frac{5}{20}\); б) \(\frac{15}{35}\) и \(\frac{14}{35}\); в) \(\frac{3}{16}\) и \(\frac{24}{16}\); г) \(\frac{3}{20}\) и \(\frac{14}{20}\); д) \(\frac{9}{12}\) и \(\frac{10}{12}\); е) \(\frac{14}{24}\) и \(\frac{15}{24}\).