x + (2 10)/(30 x) The gcd of 10 and 30 is 10, so 10/30 = (10×1)/(10×3) = 10/10×1/3 = 1/3: x + 2/(3 x) Put each term in x + 2/(x 3) over the common denominator 3 x: x + 2/(x 3) = (3 x^2)/(3 x) + 2/(3 x): (3 x^2)/(3 x) + 2/(3 x) (3 x^2)/(3 x) + 2/(3 x) = (3 x^2 + 2)/(3 x): Answer: (3 x^2 + 2)/(3 x)
