SOLUTION: I am trying to subtract a rational expression with an unlike denominator. Simplify the expression: 4/(5x) - 3/x To find the least common denominator, first I completely fact

Question 472134: I am trying to subtract a rational expression with an unlike denominator.
Simplify the expression: 4/(5x) - 3/x
To find the least common denominator, first I completely factor the denominators.
I get: 5x = 5 * 1 * x and x = x
So the least common denominator contains the highest power of each factor that appears in either denominator, so the least common denominator is 5 * x * x, or 5x^2. I am not exactly sure why I picked 5 and x and x.
When I rewrite the fractions using the least common denominator I get:
((4 * x)/(5x * x)) - ((3 * 5x)/(x * 5x))
Which gives me: 4x/5x^2 - 15x/5x^2
Which gives me: -11x/5x^2
Which simplifies to : -11/5x
Is this process correct? My problem lies with correctly understanding how to determine the least common denominator.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
You are correct. Good job.
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