Question

Simplify the complex fraction: [x+(x/2)] over (divided by) [x-(x^2/2)]. I really need help... I'll buy you a pepsi if you get a correct answer for me :)

Answer 1

\[\frac{x+\frac{x}{2}}{x-\frac{x^2}{2}}\]

Answer 2

Multiply each term in the numerator and denominator by 2

Answer 3

\[\frac{2x+x}{2x-x^2}=\frac{3x}{2x-x^2}=\frac{3x}{x(2-x)}=\frac{3}{2-x}\]