To add fractions with different denominators, you first need to find a common denominator. In this case, the common denominator for 3, 4, and 6 is 12. So, you need to convert each fraction to have a denominator of 12. One third is equivalent to 4 twelfths, one fourth is equivalent to 3 twelfths, and one sixth is equivalent to 2 twelfths. Adding them together, you get 4/12 + 3/12 + 2/12 = 9/12, which simplifies to 3/4.
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