No, 1/2 is smaller than 1. Think of it in the terms of a pie. A whole pie is bigger than 1/2 of a pie.
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Yes, half is bigger than one third.
Three fourths is bigger than one half.
Three fifths is bigger than one half. Two fifths is smaller than one half.
Nope... one half is bigger than two fifths.
One half is equal to two fourths. And since three is bigger than two most of the time, no, it's not bigger.