ANSWERSEach rope has a length of 8/9 yards, or

yards (repeating digit is 8).
EXPLANATIONDivision can be used to solve this problem.
In general, the equation "a/b = c" models the following situation: If you have something that is <em>a</em> units long and you divide it into <em>b</em> equal parts, then each equal part will be <em>c </em>units long.
We have a rope that is 8 yards long and we need 9 equal pieces.
Divide 8 yards by 9 to get the length of each piece.

Each piece is 8/9th of a yard or

yards long.
We can confirm this by adding the lengths of the nine equal pieces of rope back up to get the original length of the rope: