5.294 Вычислите: a) \(\frac{8}{25}\) + \(\frac{7}{25}\) + \(\frac{9}{25}\); б) \(\frac{13}{15}\) - (\(\frac{8}{15}\) + \(\frac{4}{15}\)); в) (\(\frac{17}{100}\) + \(\frac{27}{100}\)) - (\(\frac{8}{100}\) + \(\frac{3}{100}\)).

а) Вычисление суммы дробей:

\(\frac{8}{25}\) + \(\frac{7}{25}\) + \(\frac{9}{25}\) = \(\frac{8 + 7 + 9}{25}\) = \(\frac{24}{25}\)

б) Вычисление разности дробей:

\(\frac{13}{15}\) - (\(\frac{8}{15}\) + \(\frac{4}{15}\)) = \(\frac{13}{15}\) - \(\frac{8 + 4}{15}\) = \(\frac{13}{15}\) - \(\frac{12}{15}\) = \(\frac{13 - 12}{15}\) = \(\frac{1}{15}\)

в) Вычисление разности сумм дробей:

(\(\frac{17}{100}\) + \(\frac{27}{100}\)) - (\(\frac{8}{100}\) + \(\frac{3}{100}\)) = \(\frac{17 + 27}{100}\) - \(\frac{8 + 3}{100}\) = \(\frac{44}{100}\) - \(\frac{11}{100}\) = \(\frac{44 - 11}{100}\) = \(\frac{33}{100}\)

Ответ: а) \(\frac{24}{25}\); б) \(\frac{1}{15}\); в) \(\frac{33}{100}\)