оточка № 43. кратите дроби 18 25 33 30 84 112 18-25 24 75 55 35 56 80 75-12 6-15-14 8-11-35 6-7+7-5 7-9-20 49-4-33 49

Карточка №43. Сократите дроби

• \[\frac{18}{24} = \frac{18:6}{24:6} = \frac{3}{4}\]
• \[\frac{25}{75} = \frac{25:25}{75:25} = \frac{1}{3}\]
• \[\frac{33}{55} = \frac{33:11}{55:11} = \frac{3}{5}\]
• \[\frac{30}{35} = \frac{30:5}{35:5} = \frac{6}{7}\]
• \[\frac{84}{56} = \frac{84:28}{56:28} = \frac{3}{2}\]
• \[\frac{112}{80} = \frac{112:16}{80:16} = \frac{7}{5}\]
• \[\frac{18\cdot25}{75\cdot12} = \frac{6\cdot3\cdot25}{3\cdot25\cdot4\cdot3} = \frac{6}{12} = \frac{1}{2}\]
• \[\frac{6\cdot15\cdot14}{7\cdot9\cdot20} = \frac{6\cdot15\cdot14}{7\cdot9\cdot20} = \frac{2\cdot3\cdot3\cdot5\cdot2\cdot7}{7\cdot3\cdot3\cdot4\cdot5} = \frac{4}{4} = 1\]
• \[\frac{8\cdot11\cdot35}{49\cdot4\cdot33} = \frac{8\cdot11\cdot35}{49\cdot4\cdot33} = \frac{8\cdot11\cdot5\cdot7}{7\cdot7\cdot4\cdot3\cdot11} = \frac{2\cdot5}{7\cdot3} = \frac{10}{21}\]
• \[\frac{6\cdot7+7\cdot5}{49} = \frac{7(6+5)}{49} = \frac{7\cdot11}{7\cdot7} = \frac{11}{7}\]

Ответ: Выше представлены сокращенные дроби