SOLUTION: 52.) Simplify each complex fraction. Reduce 1/9+1/3x x/9-1/x this problem has a line between the two which make it one problem.

Algebra ->  Test -> SOLUTION: 52.) Simplify each complex fraction. Reduce 1/9+1/3x x/9-1/x this problem has a line between the two which make it one problem.       Log On


   

Question 163902This question is from textbook Elementary and Intermediate
: 52.) Simplify each complex fraction. Reduce
1/9+1/3x
x/9-1/x this problem has a line between the two which make it one problem.
 This question is from textbook Elementary and Intermediate

Answer by mathispowerful(115) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F9%2B1%2F3x%29%2F%28x%2F9-1%2Fx%29
multiply numerator and denominator by 9x
9x%281%2F9%2B1%2F3x%29%2F9x%28x%2F9-1%2Fx%29
simplify each part:
=%28x%2B3%29%2F%28x%5E2-9%29
= %28x%2B3%29%2F%28%28x%2B3%29%28x-3%29%29
=1%2F%28x-3%29