упрощение выражений: а) $$\frac{7}{8} : 5 \frac{1}{3}$$ б) $$7\frac{5}{7} - 1\frac{1}{6}$$ в) $$1\frac{4}{5} - 6\frac{2}{3}$$ г) $$4\frac{1}{2} - 2\frac{1}{3}$$

Решение:

1. $$\frac{7}{8} : 5 \frac{1}{3} = \frac{7}{8} : \frac{16}{3} = \frac{7}{8} \cdot \frac{3}{16} = \frac{21}{128}$$
2. $$7\frac{5}{7} - 1\frac{1}{6} = \frac{54}{7} - \frac{7}{6} = \frac{324 - 49}{42} = \frac{275}{42} = 6\frac{23}{42}$$
3. $$1\frac{4}{5} - 6\frac{2}{3} = \frac{9}{5} - \frac{20}{3} = \frac{27 - 100}{15} = -\frac{73}{15} = -4\frac{13}{15}$$
4. $$4\frac{1}{2} - 2\frac{1}{3} = \frac{9}{2} - \frac{7}{3} = \frac{27 - 14}{6} = \frac{13}{6} = 2\frac{1}{6}$$

Ответ: $$\frac{21}{128}$$, $$6\frac{23}{42}$$, $$-4\frac{13}{15}$$, $$2\frac{1}{6}$$.