1. Вычислите: a) 3 5/4 7 б) 4 3/11 4 в) 5 14/7 19 г) 4 3/5 7 д) 15 5/8 4 ж) 4 2/9 9

а) \(3 \frac{5}{4} \div \frac{7}{4} = \frac{17}{4} \times \frac{4}{7} = \frac{17 \times 4}{4 \times 7} = \frac{17}{7} = 2 \frac{3}{7}\) б) \(4 \frac{3}{11} \div 4 = \frac{47}{11} \div 4 = \frac{47}{11} \times \frac{1}{4} = \frac{47}{44} = 1 \frac{3}{44}\) в) \(5 \frac{14}{7} \div \frac{19}{7} = 5 + 2 = 7 \div \frac{19}{7} = 7 \times \frac{7}{19} = \frac{49}{19} = 2 \frac{11}{19}\) г) \(4 \frac{3}{5} \div \frac{7}{5} = \frac{23}{5} \div \frac{7}{5} = \frac{23}{5} \times \frac{5}{7} = \frac{23 \times 5}{5 \times 7} = \frac{23}{7} = 3 \frac{2}{7}\) д) \(15 \frac{5}{8} \div 4 = \frac{125}{8} \div 4 = \frac{125}{8} \times \frac{1}{4} = \frac{125}{32} = 3 \frac{29}{32}\) ж) \(4 \frac{2}{9} \div \frac{9}{4} = \frac{38}{9} \div \frac{9}{4} = \frac{38}{9} \times \frac{4}{9} = \frac{152}{81} = 1 \frac{71}{81}\)