5.174 Найдите значение выражения: а) \(\frac{15}{17}-\frac{7}{17}+\frac{2}{17}\); б) \(\frac{3}{9}+\frac{5}{9}-\frac{4}{9}\); в) \(\frac{10}{13}-\frac{3}{13}-\frac{2}{13}\); г) \(\frac{7}{14}+\frac{2}{14}+\frac{3}{14}\); д) \(\frac{15}{17}-(\frac{6}{17}+\frac{7}{17})\); е) \(\frac{15}{18}-(\frac{15}{18}-\frac{5}{18})\).

Решим данные примеры:

1. а) \(\frac{15}{17}-\frac{7}{17}+\frac{2}{17}=\frac{15-7+2}{17}=\frac{10}{17}\)
2. б) \(\frac{3}{9}+\frac{5}{9}-\frac{4}{9}=\frac{3+5-4}{9}=\frac{4}{9}\)
3. в) \(\frac{10}{13}-\frac{3}{13}-\frac{2}{13}=\frac{10-3-2}{13}=\frac{5}{13}\)
4. г) \(\frac{7}{14}+\frac{2}{14}+\frac{3}{14}=\frac{7+2+3}{14}=\frac{12}{14}=\frac{6}{7}\)
5. д) \(\frac{15}{17}-(\frac{6}{17}+\frac{7}{17})=\frac{15}{17}-\frac{6+7}{17}=\frac{15}{17}-\frac{13}{17}=\frac{15-13}{17}=\frac{2}{17}\)
6. е) \(\frac{15}{18}-(\frac{15}{18}-\frac{5}{18})=\frac{15}{18}-\frac{15-5}{18}=\frac{15}{18}-\frac{10}{18}=\frac{15-10}{18}=\frac{5}{18}\)

Ответ: а) \(\frac{10}{17}\); б) \(\frac{4}{9}\); в) \(\frac{5}{13}\); г) \(\frac{6}{7}\); д) \(\frac{2}{17}\); е) \(\frac{5}{18}\)