SOLUTION: n-n/3=1/2 Solve for n this is not from a textbook. This from a handout from the teacher.

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Question 131732: n-n/3=1/2 Solve for n
this is not from a textbook. This from a handout from the teacher.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
n-n%2F3=1%2F2 is equivalent to:

n%2F1-n%2F3=1%2F2.

You need a lowest common denominator for the three fractions, and between denominators of 1, 2, and 3, all of which are either 1 or prime, the LCD is the product of the three, 1%2A2%2A3=6, so:

%286%2F6%29%28n%2F1%29-%282%2F2%29%28n%2F3%29=%283%2F3%29%281%2F2%29, which is equivalent to your original equation because I multiplied each of the terms by 1. 6%2F6=2%2F2=3%2F3=1

6n%2F6-2n%2F6=3%2F6

Now multiply by 6:
6n-2n=3

4n=3

n=3%2F4

Check the answer:
n-n%2F3=1%2F2
%283%2F4%29-%283%2F4%29%2F3=1%2F2
%283%2F4%29-%283%2F4%29%281%2F3%29=1%2F2
%283%2F4%29-%281%2F4%29=2%2F4=1%2F2 Answer checks