If X = 0.7606060..., then express the value of X as a fraction.

If the fractions 113, 35, 79, 57, and 911 are arranged in ascending order, which fraction lies in the middle?

On being asked to find 89 of a certain fraction, a student made the mistake of dividing the fraction by 89 and obtained an answer that exceeded the correct answer by 29. What is the original fraction?