5½ metres long rope is cut into 12 equal pieces.

From the question it is given that,

The length of rope = 5½ m = 11/2 m

The total number of pieces = 12

Let us assume the length of one piece of rope be y.

So,

12y = 11/2 m

y = (11/2) × (1/12)

y = 11/24

∴The length of one piece of rope 11/24.