First 1/2 was cup off, then 1/3 of the remaining 1/2 was cut off. 1/3 of 1/2 is 1/6, and 1/2 in sixths as well is 3/6. That is 4/6 cut off in total.
There was 2 meters left, which was the remaining 2/6 left over.
2/6 is equal to 1/3, so to get the original length multiply 2 by 3 to get 6 meters.
Hope this helps!