арточка № 41. кратите дроби 27 28 50 44 112 105 6-25 36 35 75 88 80 30 35-8 2-9-12 18-42-15 9-5+9-3 6-8-3 49-20-27 2-81

Карточка №41. Сократите дроби

• \[\frac{27}{36} = \frac{27:9}{36:9} = \frac{3}{4}\]
• \[\frac{28}{35} = \frac{28:7}{35:7} = \frac{4}{5}\]
• \[\frac{50}{75} = \frac{50:25}{75:25} = \frac{2}{3}\]
• \[\frac{44}{88} = \frac{44:44}{88:44} = \frac{1}{2}\]
• \[\frac{112}{80} = \frac{112:16}{80:16} = \frac{7}{5}\]
• \[\frac{105}{30} = \frac{105:15}{30:15} = \frac{7}{2}\]
• \[\frac{6\cdot25}{35\cdot8} = \frac{6\cdot25}{35\cdot8} = \frac{3\cdot2\cdot5\cdot5}{7\cdot5\cdot2\cdot4} = \frac{3\cdot5}{7\cdot4} = \frac{15}{28}\]
• \[\frac{2\cdot9\cdot12}{6\cdot8\cdot3} = \frac{2\cdot3\cdot3\cdot4\cdot3}{2\cdot3\cdot4\cdot2\cdot3} = \frac{3}{2}\]
• \[\frac{18\cdot42\cdot15}{49\cdot20\cdot27} = \frac{2\cdot9\cdot6\cdot7\cdot3\cdot5}{7\cdot7\cdot4\cdot5\cdot3\cdot9} = \frac{2\cdot6}{7\cdot4} = \frac{2\cdot2\cdot3}{7\cdot4} = \frac{3}{7}\]
• \[\frac{9\cdot5 + 9\cdot3}{2\cdot81} = \frac{9(5+3)}{2\cdot81} = \frac{9\cdot8}{2\cdot9\cdot9} = \frac{8}{2\cdot9} = \frac{4}{9}\]

Ответ: Выше представлены сокращенные дроби