SOLUTION: Express as a single fraction in simplest form: x over 2 minus x over 3

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Question 198897: Express as a single fraction in simplest form: x over 2 minus x over 3
Found 2 solutions by Earlsdon, jim_thompson5910:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2F2%29-%28x%2F3%29 Find the common denominator 2%2A3+=+6= LCD
%283x%2F6%29-%282x%2F6%29 Perform the subtraction.
%283x-2x%29%2F6+=+highlight%28x%2F6%29

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F2-x%2F3 Start with the given expression.


Take note that the LCD is 6. In order to combine these fractions, we need to get ALL the denominators equal to the LCD.



%283x%29%2F6-x%2F3 Multiply both the numerator and denominator of the first fraction by 3 to get the first denominator equal to the LCD 6.


%283x%29%2F6-%282x%29%2F6 Multiply both the numerator and denominator of the second fraction by 2 to get the second denominator equal to the LCD 6.


%283x-2x%29%2F6 Now that the denominators are equal, we can combine the fractions.


x%2F6 Combine like terms.


So x%2F2-x%2F3=x%2F6