Решение:
Пусть x - искомое число. Тогда:
x - 2\(\frac{5}{8}\) = 8\(\frac{11}{16}\) - x
2x = 8\(\frac{11}{16}\) + 2\(\frac{5}{8}\) = 8\(\frac{11}{16}\) + 2\(\frac{10}{16}\) = 10\(\frac{21}{16}\) = 11\(\frac{5}{16}\)
x = \(\frac{1}{2}\) * 11\(\frac{5}{16}\) = \(\frac{1}{2}\) * \(\frac{181}{16}\) = \(\frac{181}{32}\) = 5\(\frac{21}{32}\)
Ответ: 5 21/32