Вычислите: а) \(\frac{8}{15}+\frac{2}{5}\); б) \(\frac{6}{7}+\frac{2}{5}\); в) \(\frac{10}{13}+\frac{3}{4}\); г) \(\frac{7}{9}+\frac{5}{7}\).

1. Приводим дроби к общему знаменателю: \(\frac{8}{15}+\frac{2}{5}=\frac{8}{15}+\frac{6}{15}=\frac{14}{15}\).

2. \(\frac{6}{7}+\frac{2}{5}=\frac{30}{35}+\frac{14}{35}=\frac{44}{35}=1\frac{9}{35}\).

3. \(\frac{10}{13}+\frac{3}{4}=\frac{40}{52}+\frac{39}{52}=\frac{79}{52}=1\frac{27}{52}\).

4. \(\frac{7}{9}+\frac{5}{7}=\frac{49}{63}+\frac{45}{63}=\frac{94}{63}=1\frac{31}{63}\).

Ответ: а) \(\frac{14}{15}\); б) \(1\frac{9}{35}\); в) \(1\frac{27}{52}\); г) \(1\frac{31}{63}\).