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1/4 plus 1/3 is the same as 3/12 plus 4/12 = 7/12

To add 1/3 and 1/4, we must establish a common denominator. In this case a common denominator is 4 times 3, or 12. Finding a lowest common denominator is often a good idea but 12 already is the lowest common denominator. We convert both numbers (1/3 and 1/4) to have the common denominator by multiplying each by 1 (one) in the form to achieve the same denominator:

  • 1/3 * 4/4 = 4/12
  • 1/4 * 3/3 = 3/12

Now add the number together: 4/12 + 3/12 = 7/12 Since 7/12 can not be reduced, the final answer is 7/12.

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