Final answer:
Carl has 22/30 yard of cable left.
Step-by-step explanation:
To find out how much cable is left, we need to subtract the amount of cable Carl used from the total length of cable he had.
To do this, we add up the lengths of the cables Carl has:
5/6 yard + 1/4 yard + 2/3 yard
= 25/30 yard + 7/30 yard + 20/30 yard
= 52/30 yard.
Next, we subtract the length of cable Carl used (1 yard) from the total length:
52/30 yard - 1 yard.
To subtract, we need a common denominator, which in this case is 30.
So we convert 1 yard to 30/30 yard:
52/30 yard - 30/30 yard
= 22/30 yard.
Therefore, Carl has 22/30 yard of cable left.