13. Выполните действия:

Решение:

1. \(1\frac{1}{7} + 2\frac{1}{7} = \frac{8}{7} + \frac{15}{7} = \frac{23}{7} = 3\frac{2}{7}\)
2. \(5\frac{3}{8} - 1\frac{1}{8} = \frac{43}{8} - \frac{9}{8} = \frac{34}{8} = \frac{17}{4} = 4\frac{1}{4}\)
3. \(1\frac{2}{5} \cdot 2\frac{1}{5} = \frac{7}{5} \cdot \frac{11}{5} = \frac{77}{25} = 3\frac{2}{25}\)
4. \(2\frac{16}{27} : 1\frac{5}{9} = \frac{70}{27} : \frac{14}{9} = \frac{70}{27} \cdot \frac{9}{14} = \frac{70 \cdot 9}{27 \cdot 14} = \frac{5 \cdot 1}{3 \cdot 1} = \frac{5}{3} = 1\frac{2}{3}\)
5. \(\frac{17}{24} - (\frac{1}{4} + \frac{5}{24}) = \frac{17}{24} - (\frac{6}{24} + \frac{5}{24}) = \frac{17}{24} - \frac{11}{24} = \frac{6}{24} = \frac{1}{4}\)
6. \(8,24 + 3,456 = 11,696\)
7. \(0,235 - 1,06 = -0,825\)
8. \(32,2 : 0,04 = 3220 : 4 = 805\)

Ответ: \(3\frac{2}{7}\); \(4\frac{1}{4}\); \(3\frac{2}{25}\); \(1\frac{2}{3}\); \(\frac{1}{4}\); \(11,696\); \(-0,825\); \(805\).