2. Выполни действия: 5 14 4 1)3 + 5 =; 23 24 6 2) 5 - 5 =; 7 3 16 3) 5 + 7 =; 9 5 6 4) 9\frac{6}{5} - 4\frac{16}{9} =;

1) \(\frac{5}{3} + \frac{14}{5} = \frac{5 \cdot 5}{3 \cdot 5} + \frac{14 \cdot 3}{5 \cdot 3} = \frac{25}{15} + \frac{42}{15} = \frac{25+42}{15} = \frac{67}{15} = 4\frac{7}{15}\)

2) \(\frac{23}{5} - \frac{24}{6} = \frac{23}{5} - 4 = \frac{23}{5} - \frac{4 \cdot 5}{5} = \frac{23}{5} - \frac{20}{5} = \frac{23-20}{5} = \frac{3}{5}\)

3) \(\frac{7}{5} + 3\frac{16}{7} = \frac{7}{5} + \frac{3 \cdot 7 + 16}{7} = \frac{7}{5} + \frac{21+16}{7} = \frac{7}{5} + \frac{37}{7} = \frac{7 \cdot 7}{5 \cdot 7} + \frac{37 \cdot 5}{7 \cdot 5} = \frac{49}{35} + \frac{185}{35} = \frac{49+185}{35} = \frac{234}{35} = 6\frac{24}{35}\)

4) \(9\frac{6}{5} - 4\frac{16}{9} = \frac{9 \cdot 5 + 6}{5} - \frac{4 \cdot 9 + 16}{9} = \frac{45+6}{5} - \frac{36+16}{9} = \frac{51}{5} - \frac{52}{9} = \frac{51 \cdot 9}{5 \cdot 9} - \frac{52 \cdot 5}{9 \cdot 5} = \frac{459}{45} - \frac{260}{45} = \frac{459-260}{45} = \frac{199}{45} = 4\frac{19}{45}\)