№1. Выполните действия: 1) 1/3 + 5/6; 5) 7/20 + 2/3; 9) 6 - 10/7; 2) 5/7 - 1/14; 6) 3 1/15 - 1 1/7; 3) 2 2/3 + 5/12; 7) 5/34 - 41/51; 4) 3/11 - 1/15; 8) 3 1/30 - 5 7/90;

Решение:

1. \( \frac{1}{3} + \frac{5}{6} = \frac{2}{6} + \frac{5}{6} = \frac{7}{6} = 1\frac{1}{6} \)
2. \( \frac{5}{7} - \frac{1}{14} = \frac{10}{14} - \frac{1}{14} = \frac{9}{14} \)
3. \( 2\frac{2}{3} + 5\frac{5}{12} = \frac{8}{3} + \frac{65}{12} = \frac{32}{12} + \frac{65}{12} = \frac{97}{12} = 8\frac{1}{12} \)
4. \( \frac{3}{11} - \frac{1}{15} = \frac{45}{165} - \frac{11}{165} = \frac{34}{165} \)
5. \( \frac{7}{20} + \frac{2}{3} = \frac{21}{60} + \frac{40}{60} = \frac{61}{60} = 1\frac{1}{60} \)
6. \( 3\frac{1}{15} - 1\frac{1}{7} = \frac{46}{15} - \frac{8}{7} = \frac{322}{105} - \frac{120}{105} = \frac{202}{105} = 1\frac{97}{105} \)
7. \( \frac{5}{34} - \frac{41}{51} = \frac{15}{102} - \frac{82}{102} = -\frac{67}{102} \)
8. \( 3\frac{1}{30} - 5\frac{7}{90} = \frac{91}{30} - \frac{457}{90} = \frac{273}{90} - \frac{457}{90} = -\frac{184}{90} = -\frac{92}{45} = -2\frac{2}{45} \)
9. \( 6 - \frac{10}{7} = \frac{42}{7} - \frac{10}{7} = \frac{32}{7} = 4\frac{4}{7} \)