Вычислите: a) \(\frac{5}{13} + \frac{2}{13} - \frac{4}{13}\); б) \(\frac{7}{21} + \frac{12}{21} - \frac{9}{21}\); в) \(\frac{12}{22} - \frac{5}{22} - \frac{5}{22}\); г) \(\frac{25}{53} - \frac{10}{53} + \frac{3}{53}\).

Решение:

1. а) \(\frac{5}{13} + \frac{2}{13} - \frac{4}{13} = \frac{5 + 2 - 4}{13} = \frac{3}{13}\)

Ответ: \(\frac{3}{13}\)

1. б) \(\frac{7}{21} + \frac{12}{21} - \frac{9}{21} = \frac{7 + 12 - 9}{21} = \frac{10}{21}\)

Ответ: \(\frac{10}{21}\)

1. в) \(\frac{12}{22} - \frac{5}{22} - \frac{5}{22} = \frac{12 - 5 - 5}{22} = \frac{2}{22} = \frac{1}{11}\)

Ответ: \(\frac{1}{11}\)

1. г) \(\frac{25}{53} - \frac{10}{53} + \frac{3}{53} = \frac{25 - 10 + 3}{53} = \frac{18}{53}\)

Ответ: \(\frac{18}{53}\)