The denominator of a fraction is 5 more than its numerator, which is a positive integer. If the numerator is doubled and the denominator is decreased to 3, the resultant fraction is 209 more than the original fraction. What is the numerator of the original 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?