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.

$\dfrac{(x + 1)}{2 - \dfrac{(x + 2)}{3x}}$

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

$\dfrac{(x + 1)}{\dfrac{6x - (x + 2)}{3x}} = \dfrac{(x + 1)}{\dfrac{5x -2}{3x}}$

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

$\dfrac{3x*(x + 1)}{(5x - 2)}$

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

$\dfrac{3x^2 + 3x}{(5x - 2)}$