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Simplify 5/3 + x/4

  1. 13/12 + x

  2. 8/3 + x

  3. 15/12 + x

  4. 13/4 + x

The correct answer is: 15/12 + x

The question requires us to simplify the expression 5/3 + x/4. Option A is incorrect because when adding fractions, we have to find the lowest common denominator (LCD) for the two denominators which are 3 and 4. 12 is the LCD, so 5/3 becomes 20/12 and x/4 remains the same, resulting in 20/12 + x/4. Option B is incorrect because it does not have the common denominator of 12. Option D is incorrect because adding fractions with different denominators requires us to find the LCD. Therefore, option C is the correct answer as both terms have a denominator of 12, resulting in 15/12 + x/4.