Вопрос:

41. Привести к наименьшему общему знаменателю дроби: 1) 5/6 и 3/4; 2) 7/8 и 5/6; 3) 3/8 и 11/16; 4) 5/28 и 9/14; 5) 3/7 и 4/9; 6) 11/15 и 3/8; 7) 13/16 и 11/12; 8) 3/8, 5/6 и 1/4; 9) 3/14, 4/21 и 5/6.

Ответ:

  1. НОЗ(6, 4) = 12: \(\frac{5}{6}=\frac{10}{12}\), \(\frac{3}{4}=\frac{9}{12}\).
  2. НОЗ(8, 6) = 24: \(\frac{7}{8}=\frac{21}{24}\), \(\frac{5}{6}=\frac{20}{24}\).
  3. НОЗ(8, 16) = 16: \(\frac{3}{8}=\frac{6}{16}\), \(\frac{11}{16}=\frac{11}{16}\).
  4. НОЗ(28, 14) = 28: \(\frac{5}{28}=\frac{5}{28}\), \(\frac{9}{14}=\frac{18}{28}\).
  5. НОЗ(7, 9) = 63: \(\frac{3}{7}=\frac{27}{63}\), \(\frac{4}{9}=\frac{28}{63}\).
  6. НОЗ(15, 8) = 120: \(\frac{11}{15}=\frac{88}{120}\), \(\frac{3}{8}=\frac{45}{120}\).
  7. НОЗ(16, 12) = 48: \(\frac{13}{16}=\frac{39}{48}\), \(\frac{11}{12}=\frac{44}{48}\).
  8. НОЗ(8, 6, 4) = 24: \(\frac{3}{8}=\frac{9}{24}\), \(\frac{5}{6}=\frac{20}{24}\), \(\frac{1}{4}=\frac{6}{24}\).
  9. НОЗ(14, 21, 6) = 42: \(\frac{3}{14}=\frac{9}{42}\), \(\frac{4}{21}=\frac{8}{42}\), \(\frac{5}{6}=\frac{35}{42}\).

Ответ: 1) 10/12 и 9/12; 2) 21/24 и 20/24; 3) 6/16 и 11/16; 4) 5/28 и 18/28; 5) 27/63 и 28/63; 6) 88/120 и 45/120; 7) 39/48 и 44/48; 8) 9/24, 20/24 и 6/24; 9) 9/42, 8/42 и 35/42.