ж) $$(15\frac{1}{2}-2\frac{3}{8})-(\frac{55}{6}+6\frac{3}{4})+(10\frac{2}{3}-5\frac{5}{8})$$;

Решим пример:

1. $$(15\frac{1}{2}-2\frac{3}{8})-(\frac{55}{6}+6\frac{3}{4})+(10\frac{2}{3}-5\frac{5}{8})$$
2. $$15\frac{1}{2}-2\frac{3}{8} = 15\frac{4}{8} - 2\frac{3}{8} = 13\frac{1}{8}$$
3. $$\frac{55}{6}+6\frac{3}{4} = 9\frac{1}{6} + 6\frac{3}{4} = 9\frac{2}{12} + 6\frac{9}{12} = 15\frac{11}{12}$$
4. $$10\frac{2}{3}-5\frac{5}{8} = 10\frac{16}{24} - 5\frac{15}{24} = 5\frac{1}{24}$$
5. $$13\frac{1}{8} - 15\frac{11}{12} + 5\frac{1}{24} = 13\frac{3}{24} - 15\frac{22}{24} + 5\frac{1}{24} = 13\frac{3}{24} - 14\frac{46}{24} + 5\frac{1}{24} = 18\frac{4}{24} - 14\frac{46}{24} = 3\frac{24+4}{24} - 14\frac{46}{24} = 3\frac{28}{24} - 14\frac{46}{24} = 4\frac{52}{24} - 14\frac{46}{24} = 4\frac{7}{6} - 14\frac{46}{24} = -10\frac{19}{24}$$

Ответ: $$-10\frac{19}{24}$$