No.
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One-half of two-thirds is one-third.
No, one third is in fact less than half. For example, if you had two pizzas and cut one pizza into two equal peices, that would have halves. Then, if you cut the other into three equal peices, you would have thirds. The thirds would be smaller than the halves.
seven sixths so 1whole and a sixth
One half multiplied by two-thirds is two-sixths and if you reduce it would be one-third.
1 third plus one third =============== There are many other fraction combinations which equal two-thirds. One, for example, is one-half plus one-sixth.