Final answer:
Sam has no rope left after cutting off 5/8m.
Step-by-step explanation:
To find out how much rope Sam has left, we need to subtract the amount he cut off from the original length of the rope. Sam had 1/2m of rope and cut off 5/8m, so the amount of rope he has left can be found by subtracting 5/8m from 1/2m.
To perform this subtraction, we need to find a common denominator. In this case, the common denominator is 8, so we convert 1/2 to an equivalent fraction with a denominator of 8: 1/2 = 4/8. Now we can subtract: 4/8 - 5/8 = -1/8.
So, Sam has -1/8m of rope left. However, since we can't have negative length, we can say that Sam has no rope left after cutting off 5/8m.