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

Let's work out the process to find the numerator:

(x+2)/2 - (x+1)/3x                   Factor using the LCD, 6x

3x(x+2)/6x - 2(x+1)/6x

(3x² + 6x - 2x - 2)/6x

= (3x² + 4x  - 2)/6x

Answer is 3x² + 4x - 2

Hopefully I did this correct, Not to good with math c':