1. Выполните действия: A) $$1\frac{5}{7}:1\frac{1}{7}$$; Б) $$3\frac{5}{15}:2\frac{1}{2}$$; B)$$5\frac{2}{3}-1\frac{7}{12} \times 6$$.

Ответ:

1. а) $$1\frac{5}{7}:1\frac{1}{7} = \frac{12}{7}:\frac{8}{7} = \frac{12}{7} \cdot \frac{7}{8} = \frac{12}{8} = \frac{3}{2} = 1\frac{1}{2}$$
2. б) $$3\frac{5}{15}:2\frac{1}{2} = 3\frac{1}{3}:2\frac{1}{2} = \frac{10}{3}:\frac{5}{2} = \frac{10}{3} \cdot \frac{2}{5} = \frac{20}{15} = \frac{4}{3} = 1\frac{1}{3}$$
3. в) $$5\frac{2}{3}-1\frac{7}{12} \times 6 = \frac{17}{3} - \frac{19}{12} \times 6 = \frac{17}{3} - \frac{19}{2} = \frac{34}{6} - \frac{57}{6} = -\frac{23}{6} = -3\frac{5}{6}$$