The answer is one-half. It is twice as much as one-fourth. Consider one as a whole. If you divide it into two parts, you will get one half (1/2), if into three parts, you will get 1/3 (one-third), if into 4 parts, you will get 1/4 (one-fourth).
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One half squared equals one fourth because when you multiply one half by one half you get one fourth. This is the equivalent of saying that half of one half is one fourth.
If I ask you if you want a half a pie or a third of a pie, I hope you will grab the half.
No, one third is less that one half. One third means that it has been divided in three parts. One half, means that it has been divided in two parts.
A half/one half.
Half of one-fourth is one eight