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What is the sum of 9/2 and 5/3 when written in the same denominator?

  1. 24/6

  2. 13/2

  3. 13/6

  4. 17/6

The correct answer is: 17/6

When adding fractions, the denominators must be equal. To find the sum of 9/2 and 5/3, we need to rewrite both fractions so that they have the same denominator. The common denominator for 2 and 3 is 6. Therefore, 9/2 can be rewritten as 27/6 and 5/3 can be rewritten as 10/6. When we add 27/6 and 10/6, we get 37/6. In this case, option D (17/6) is incorrect because it does not represent the correct sum of 9/2 and 5/3 when written in the same denominator. Options A, B, and C are also incorrect because they do not have the same denominator as both fractions.