it is closer to one because one third isn't fully half and the one is a full one ! :)
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Closer to 1/2.
Expressed as a mixed number in its simplest form, 2 2/3 - 1 1/3 = 1 1/3 or one and one third.
1/3 < 1 = One third (1/3) is less than one(1).
The sum of 1/3 and 1/3 = 2/3
Closer to 1/2