If 2,500 feet of filing space are available and half is used, what fraction of the space remains unused?

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Multiple Choice

If 2,500 feet of filing space are available and half is used, what fraction of the space remains unused?

Explanation:
When part of a total is used, the unused portion is the remaining share. Using half means the other half is left behind. So the fraction unused is 1/2, since 1 − 1/2 = 1/2. The actual numbers don’t change this; half of 2,500 feet is 1,250 feet used and 1,250 feet unused, so about half remains. The other fractions would imply different proportions of space used, which doesn’t match the given situation.

When part of a total is used, the unused portion is the remaining share. Using half means the other half is left behind. So the fraction unused is 1/2, since 1 − 1/2 = 1/2. The actual numbers don’t change this; half of 2,500 feet is 1,250 feet used and 1,250 feet unused, so about half remains. The other fractions would imply different proportions of space used, which doesn’t match the given situation.

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