The answer is [tex] \dfrac{1}{6} [/tex].
The rope is 12 meters long and each piece cut out is 2 meters long.
So we know that each piece measures 2 meters out of the 12 meters. With this alone we can make a fraction:
2 out of 12:
[tex] \dfrac{2}{12} [/tex]
This can be simplified further by dividing the numerator and denominator by 2.
[tex] \dfrac{2\div 2}{12\div2} = \dfrac {1}{6} [/tex]
Each piece is one-sixth of the rope.