How do you simplify [ (1/x) - (1/2) ] / [ x- 2 ]? Algebra Rational Equations and Functions Division of Rational Expressions 1 Answer Deepak G. Aug 22, 2016 =-1/(2x) Explanation: ((1/x)-(1/2))/(x-2) =((2-x)/(2x))/(x-2) =(-(x-2)/(2x))/(x-2) =-(x-2)/(2x)times1/(x-2) =-cancel(x-2)/(2x)times1/cancel(x-2) =-1/(2x) Answer link Related questions What is Division of Rational Expressions? How does the division of rational expressions differ from the multiplication of rational expressions? How do you divide 3 rational expressions? How do you divide rational expressions? How do you divide and simplify \frac{9x^2-4}{2x-2} -: \frac{21x^2-2x-8}{1} ? How do you divide and reduce the expression to the lowest terms 2xy \-: \frac{2x^2}{y}? How do you divide \frac{x^2-25}{x+3} \-: (x-5)? How do you divide \frac{a^2+2ab+b^2}{ab^2-a^2b} \-: (a+b)? How do you simplify (w^2+6w+5)/(w+5)? How do you simplify (x^4-256)/(x-4)? See all questions in Division of Rational Expressions Impact of this question 4904 views around the world You can reuse this answer Creative Commons License