№1. Реши примеры 14\(\frac{5}{7}\) + 12\(\frac{3}{11}\) 18\(\frac{2}{17}\) - 3\(\frac{1}{4}\) 32\(\frac{2}{9}\) + 18\(\frac{1}{10}\) 58\(\frac{1}{6}\) + 12\(\frac{3}{35}\) 54\(\frac{1}{16}\) - 13\(\frac{3}{8}\) 13\(\frac{1}{35}\) - 6\(\frac{4}{21}\)

Решение:

1. \(14\frac{5}{7} + 12\frac{3}{11} = (14+12) + (\frac{5}{7} + \frac{3}{11}) = 26 + (\frac{55+21}{77}) = 26 + \frac{76}{77} = 26\frac{76}{77}\)
2. \(18\frac{2}{17} - 3\frac{1}{4} = (18-3) + (\frac{2}{17} - \frac{1}{4}) = 15 + (\frac{8-17}{68}) = 15 - \frac{9}{68} = 14\frac{59}{68}\)
3. \(32\frac{2}{9} + 18\frac{1}{10} = (32+18) + (\frac{2}{9} + \frac{1}{10}) = 50 + (\frac{20+9}{90}) = 50 + \frac{29}{90} = 50\frac{29}{90}\)
4. \(58\frac{1}{6} + 12\frac{3}{35} = (58+12) + (\frac{1}{6} + \frac{3}{35}) = 70 + (\frac{35+18}{210}) = 70 + \frac{53}{210} = 70\frac{53}{210}\)
5. \(54\frac{1}{16} - 13\frac{3}{8} = (54-13) + (\frac{1}{16} - \frac{3}{8}) = 41 + (\frac{1-6}{16}) = 41 - \frac{5}{16} = 40\frac{11}{16}\)
6. \(13\frac{1}{35} - 6\frac{4}{21} = (13-6) + (\frac{1}{35} - \frac{4}{21}) = 7 + (\frac{3-20}{105}) = 7 - \frac{17}{105} = 6\frac{88}{105}\)