Daniel has a piece of wire that is a fifth of a yard long. He cuts the wire into three equal pieces. What fraction of a yard is each piece?

(1/5) / 3 = 1/(5*3) = 1/15

(1/5) * (1/3) = ?

1/2 divided by 3 = 6 yards.

To find the fraction of a yard for each piece, we need to divide the length of the wire by the number of pieces it was cut into.

First, let's convert the length of the wire to a common unit, like inches. Since there are 3 feet in a yard and 12 inches in a foot, we have:

1 yard = 3 feet = 3 * 12 inches = 36 inches.

Now, we know that Daniel has a fifth of a yard, which is equal to (1/5) * 36 inches = 7.2 inches.

Next, we divide the length of the wire (7.2 inches) by the number of pieces it was cut into (3):

7.2 inches ÷ 3 = 2.4 inches.

So, each piece of wire is 2.4 inches long.

Now, let's convert this length back to the fraction of a yard. Since there are 36 inches in a yard, we have:

2.4 inches = (2.4 / 36) yards = 1/15 yard.

Therefore, each piece of wire is 1/15 of a yard long.