Arlene has a piece of cloth that is 7 1/8 yards long. She cuts a piece that is 4 3/4 yards long to make a skirt. How much cloth is left?

7 1/8 = 6 9/8

6 9/8 - 4 6/8 = ?

12 5/8 yards long

To find out how much cloth is left after Arlene cuts a piece of 4 3/4 yards for the skirt, we need to subtract that piece from the total length of the cloth.

First, let's convert both the total length and the length of the skirt piece to a common denominator. The least common denominator (LCD) for 8 and 4 is 8, so we can rewrite the measurements as follows:

Total length of cloth = 7 1/8 yards = (7 * 8 + 1) / 8 yards = 57 / 8 yards
Length of skirt piece = 4 3/4 yards = (4 * 8 + 3) / 8 yards = 35 / 8 yards

Now we can subtract the length of the skirt piece from the total length:

57 / 8 - 35 / 8 = (57 - 35) / 8 = 22 / 8 yards

Lastly, we can simplify the fraction:

22 / 8 = 11 / 4 yards

Therefore, Arlene has 11/4 yards (or 2 3/4 yards) of cloth left after cutting out the skirt.