Привет! Давай вычислим эти примеры. Здесь нужно сложить или вычесть дроби. Чтобы это сделать, нужно привести их к общему знаменателю.
1. $\frac{2}{7} + \frac{3}{8} = \frac{2 \cdot 8}{7 \cdot 8} + \frac{3 \cdot 7}{8 \cdot 7} = \frac{16}{56} + \frac{21}{56} = \frac{16 + 21}{56} = \frac{37}{56}$
2. $\frac{3}{13} - \frac{6}{8} = \frac{3}{13} - \frac{3}{4} = \frac{3 \cdot 4}{13 \cdot 4} - \frac{3 \cdot 13}{4 \cdot 13} = \frac{12}{52} - \frac{39}{52} = \frac{12 - 39}{52} = \frac{-27}{52}$
3. $\frac{6}{15} - \frac{7}{11} = \frac{2}{5} - \frac{7}{11} = \frac{2 \cdot 11}{5 \cdot 11} - \frac{7 \cdot 5}{11 \cdot 5} = \frac{22}{55} - \frac{35}{55} = \frac{22 - 35}{55} = \frac{-13}{55}$
4. $\frac{5}{7} - \frac{7}{9} = \frac{5 \cdot 9}{7 \cdot 9} - \frac{7 \cdot 7}{9 \cdot 7} = \frac{45}{63} - \frac{49}{63} = \frac{45 - 49}{63} = \frac{-4}{63}$
5. $\frac{17}{8} - \frac{5}{2} = \frac{17}{8} - \frac{5 \cdot 4}{2 \cdot 4} = \frac{17}{8} - \frac{20}{8} = \frac{17 - 20}{8} = \frac{-3}{8}$
6. $\frac{9}{6} - \frac{11}{10} = \frac{3}{2} - \frac{11}{10} = \frac{3 \cdot 5}{2 \cdot 5} - \frac{11}{10} = \frac{15}{10} - \frac{11}{10} = \frac{15 - 11}{10} = \frac{4}{10} = \frac{2}{5}$
7. $\frac{2}{3} - \frac{15}{7} = \frac{2 \cdot 7}{3 \cdot 7} - \frac{15 \cdot 3}{7 \cdot 3} = \frac{14}{21} - \frac{45}{21} = \frac{14 - 45}{21} = \frac{-31}{21}$
8. $\frac{10}{10} - \frac{6}{6} = 1 - 1 = 0$
9. $\frac{20}{6} - \frac{18}{1} = \frac{10}{3} - 18 = \frac{10}{3} - \frac{18 \cdot 3}{3} = \frac{10}{3} - \frac{54}{3} = \frac{10 - 54}{3} = \frac{-44}{3}$
10. $\frac{8}{5} - \frac{16}{6} = \frac{8}{5} - \frac{8}{3} = \frac{8 \cdot 3}{5 \cdot 3} - \frac{8 \cdot 5}{3 \cdot 5} = \frac{24}{15} - \frac{40}{15} = \frac{24 - 40}{15} = \frac{-16}{15}$
11. $\frac{11}{2} - \frac{5}{6} = \frac{11 \cdot 3}{2 \cdot 3} - \frac{5}{6} = \frac{33}{6} - \frac{5}{6} = \frac{33 - 5}{6} = \frac{28}{6} = \frac{14}{3}$
12. $\frac{25}{4} + \frac{13}{6} = \frac{25 \cdot 3}{4 \cdot 3} + \frac{13 \cdot 2}{6 \cdot 2} = \frac{75}{12} + \frac{26}{12} = \frac{75 + 26}{12} = \frac{101}{12}$
13. $\frac{13}{1} + \frac{11}{3} = \frac{13 \cdot 3}{1 \cdot 3} + \frac{11}{3} = \frac{39}{3} + \frac{11}{3} = \frac{39 + 11}{3} = \frac{50}{3}$
14. $\frac{10}{2} - \frac{14}{3} = 5 - \frac{14}{3} = \frac{5 \cdot 3}{3} - \frac{14}{3} = \frac{15}{3} - \frac{14}{3} = \frac{15 - 14}{3} = \frac{1}{3}$
15. $\frac{11}{11} - \frac{14}{17} = 1 - \frac{14}{17} = \frac{17}{17} - \frac{14}{17} = \frac{17 - 14}{17} = \frac{3}{17}$
**Ответы:**
1. $\frac{37}{56}$
2. $\frac{-27}{52}$
3. $\frac{-13}{55}$
4. $\frac{-4}{63}$
5. $\frac{-3}{8}$
6. $\frac{2}{5}$
7. $\frac{-31}{21}$
8. $0$
9. $\frac{-44}{3}$
10. $\frac{-16}{15}$
11. $\frac{14}{3}$
12. $\frac{101}{12}$
13. $\frac{50}{3}$
14. $\frac{1}{3}$
15. $\frac{3}{17}$