Вопрос:

1. Вычислите: a) 1\( \frac{1}{9} + 2\frac{5}{18} \) б) \( 3\frac{5}{24} - 1\frac{7}{36} \) в) \( 2\frac{7}{30} + \frac{9}{20} - 4\frac{59}{60} \)

Ответ:

1. Вычисление:

  1. \( 1\frac{1}{9} + 2\frac{5}{18} = \frac{10}{9} + \frac{41}{18} = \frac{20}{18} + \frac{41}{18} = \frac{61}{18} = 3\frac{7}{18} \)
  2. \( 3\frac{5}{24} - 1\frac{7}{36} = \frac{77}{24} - \frac{43}{36} = \frac{231}{72} - \frac{86}{72} = \frac{145}{72} = 2\frac{1}{72} \)
  3. \( 2\frac{7}{30} + \frac{9}{20} - 4\frac{59}{60} = \frac{67}{30} + \frac{9}{20} - \frac{299}{60} = \frac{134}{60} + \frac{27}{60} - \frac{299}{60} = \frac{161 - 299}{60} = \frac{-138}{60} = -2\frac{18}{60} = -2\frac{3}{10} \)

Ответ: 1) \( 3\frac{7}{18} \); 2) \( 2\frac{1}{72} \); 3) \( -2\frac{3}{10} \).