A rectangular piece of cake is cut into 4 equal parts. One of these parts is divided into two equal parts. If one of the parts so obtained is divided into 4 equal parts again, then the smallest part will be what fraction of the original cake?

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?