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 4757 views around the world You can reuse this answer Creative Commons License