223. Выполните действия: a) (8-4\frac{3}{11})+2\frac{8}{11}; б) 11\frac{1}{7}-(5\frac{4}{7}+3\frac{6}{7}).

1. $$(8 - 4\frac{3}{11}) + 2\frac{8}{11}$$
2. $$(8 - \frac{4 \cdot 11 + 3}{11}) + \frac{2 \cdot 11 + 8}{11}$$
3. $$(8 - \frac{47}{11}) + \frac{30}{11}$$
4. $$\frac{8 \cdot 11}{11} - \frac{47}{11} + \frac{30}{11}$$
5. $$\frac{88 - 47 + 30}{11}$$
6. $$\frac{71}{11}$$
7. $$6\frac{5}{11}$$

Ответ: $$6\frac{5}{11}$$

1. $$11\frac{1}{7} - (5\frac{4}{7} + 3\frac{6}{7})$$
2. $$11\frac{1}{7} - (\frac{5 \cdot 7 + 4}{7} + \frac{3 \cdot 7 + 6}{7})$$
3. $$11\frac{1}{7} - (\frac{39}{7} + \frac{27}{7})$$
4. $$\frac{11 \cdot 7 + 1}{7} - \frac{39 + 27}{7}$$
5. $$\frac{78}{7} - \frac{66}{7}$$
6. $$\frac{78 - 66}{7}$$
7. $$\frac{12}{7}$$
8. $$1\frac{5}{7}$$

Ответ: $$1\frac{5}{7}$$