Question

After the fraction x plus 1 all over 2 minus the fraction x plus 2 all over 3 x have been combined using the least common denominator of 6x, what is the numerator?

Answer 1

If I've read this correctly, it looks like this.

`((x + 1))/(2 - ((x + 2))/(3x))`

If that is correct, then the first step is to put the top part of the denominator over 3x

`((x + 1))/((6x - (x + 2))/(3x)) = ((x + 1))/((5x -2)/(3x))`

The next part is to flip a three tier fraction. I'm afraid I have to show what happens. My latex is not that strong.

What you get is

`(3x*(x + 1))/((5x - 2))`

This is just about your final answer. You could write it as

`(3x^2 + 3x)/((5x - 2))`