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Recall that half means "2 parts the same," "two equal parts."
Half of 6 circles is 3 because we cut the whole into "2 parts the same" and take one part.
To find half of 7, we bring in one more circle and cut our new whole into "2 parts the same." Taking either part we have:
half of 7 = [latex]3 \frac {1}{2}[/latex].

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