Question 198897
{{{x/2-x/3}}} 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.




{{{(3x)/6-x/3}}} Multiply both the numerator and denominator of the first fraction by 3 to get the first denominator equal to the LCD 6.



{{{(3x)/6-(2x)/6}}} Multiply both the numerator and denominator of the second fraction by 2 to get the second denominator equal to the LCD 6.



{{{(3x-2x)/6}}} Now that the denominators are equal, we can combine the fractions.



{{{x/6}}} Combine like terms.



So {{{x/2-x/3=x/6}}}