Answer :

To determine how much extra fabric Kate will have left after making the skirt, we need to perform a subtraction operation. The problem states that Kate has 42 yards of fabric, and she needs 82 yards to make the skirt.

Here are the steps to find the extra fabric:

1. Identify the amount of fabric Kate has:
- Kate has 42 yards of fabric.

2. Identify the amount of fabric needed to make the skirt:
- She needs 82 yards of fabric to make the skirt.

3. Subtract the amount of fabric she has from the amount of fabric needed:
- Because the amount of fabric Kate has (42 yards) is less than the amount she needs (82 yards), Kate doesn't have enough fabric to make the skirt. Therefore, this means there will be no extra fabric left after making the skirt since she can’t make it in the first place.

4. Conclusion:
- Since Kate needs 82 yards and only has 42 yards, she is short of fabric. Thus, the calculation (82 - 42) shows that she is short by 40 yards:
[tex]\[ 82 \text{ yards} - 42 \text{ yards} = 40 \text{ yards} \][/tex]

Therefore, Kate does not have enough fabric to make the skirt, and she will have no extra fabric left after attempting to make the skirt, as she is actually 40 yards short.