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To add 6 1/3 and 7 1/2, we need to find a common denominator. The common denominator of 3 and 2 is 6.
Converting 1/3 and 1/2 to fractions with a denominator of 6:
1/3 * (2/2) = 2/6
1/2 * (3/3) = 3/6
Now we can add the whole numbers and the fractions:
6 + 7 = 13
1/3 + 1/2 = 2/6 + 3/6 = 5/6
So the sum is 13 5/6.