135. Выполните действия: a) $$(6 \frac{1}{5} - 3 \frac{3}{4}) : \frac{11}{14} + (8 \frac{3}{8} - 1 \frac{5}{6}) : \frac{1}{6}$$

135. Выполните действия:

а)

1. $$6 \frac{1}{5} - 3 \frac{3}{4} = \frac{31}{5} - \frac{15}{4} = \frac{124 - 75}{20} = \frac{49}{20}$$

2. $$\frac{49}{20} : \frac{11}{14} = \frac{49}{20} \times \frac{14}{11} = \frac{7 \times 7 \times 2 \times 7}{2 \times 10 \times 11} = \frac{49 \times 7}{10 \times 11} = \frac{343}{110}$$

3. $$8 \frac{3}{8} - 1 \frac{5}{6} = \frac{67}{8} - \frac{11}{6} = \frac{201 - 44}{24} = \frac{157}{24}$$

4. $$\frac{157}{24} : \frac{1}{6} = \frac{157}{24} \times 6 = \frac{157}{4}$$

5. $$\frac{343}{110} + \frac{157}{4} = \frac{343 \times 2 + 157 \times 55}{220} = \frac{686 + 8635}{220} = \frac{9321}{220}$$

Ответ: $$\frac{9321}{220}$$.