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

Решение:

a) \(\frac{15}{17}-\frac{7}{17}+\frac{2}{17} = \frac{15-7+2}{17} = \frac{10}{17}\)

Ответ: \(\frac{10}{17}\)

б) \(\frac{3}{9}+\frac{5}{9}-\frac{4}{9} = \frac{3+5-4}{9} = \frac{4}{9}\)

Ответ: \(\frac{4}{9}\)

в) \(\frac{10}{13}-\frac{3}{13}-\frac{2}{13} = \frac{10-3-2}{13} = \frac{5}{13}\)

Ответ: \(\frac{5}{13}\)

г) \(\frac{7}{14}+\frac{2}{14}+\frac{3}{14} = \frac{7+2+3}{14} = \frac{12}{14} = \frac{6}{7}\)

Ответ: \(\frac{6}{7}\)

д) \(\frac{15}{17}-(\frac{6}{17}+\frac{7}{17}) = \frac{15}{17} - \frac{6+7}{17} = \frac{15}{17} - \frac{13}{17} = \frac{15-13}{17} = \frac{2}{17}\)

Ответ: \(\frac{2}{17}\)

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: \(\frac{5}{18}\)