Вопрос:

№2. Вычислите: $$12\frac{5}{16} - 2\frac{7}{16} = ?$$ $$4\frac{16}{17} - 2 = ?$$ $$37\frac{13}{20} - 13\frac{17}{20} = ?$$ $$12\frac{15}{16} - 6 = ?$$ $$25\frac{15}{28} - 3\frac{23}{28} = ?$$

Ответ:

**Решение:** 1. $$12\frac{5}{16} - 2\frac{7}{16} = 11\frac{21}{16} - 2\frac{7}{16} = (11-2) + (\frac{21}{16} - \frac{7}{16}) = 9 + \frac{14}{16} = 9\frac{7}{8}$$ 2. $$4\frac{16}{17} - 2 = (4-2) + \frac{16}{17} = 2 + \frac{16}{17} = 2\frac{16}{17}$$ 3. $$37\frac{13}{20} - 13\frac{17}{20} = 36\frac{33}{20} - 13\frac{17}{20} = (36-13) + (\frac{33}{20} - \frac{17}{20}) = 23 + \frac{16}{20} = 23 + \frac{4}{5} = 23\frac{4}{5}$$ 4. $$12\frac{15}{16} - 6 = (12 - 6) + \frac{15}{16} = 6 + \frac{15}{16} = 6\frac{15}{16}$$ 5. $$25\frac{15}{28} - 3\frac{23}{28} = (25 - 3) + (\frac{15}{28} - \frac{23}{28}) = 22 + \frac{15-23}{28} = 22 - \frac{8}{28} = 22 - \frac{2}{7} = 21\frac{7}{7} - \frac{2}{7} = 21\frac{5}{7}$$
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