Question

3/2x + 3/4x^2

Answer 1

\[\large \frac{3}{2x}+\frac{3}{4x^2}\] find a common denominator between the two \[2x(\color{red}{2x}) = 4x^2\]\[\large \frac{3\color{red}{(2x)}}{2x \color{red}{(2x)}}+\frac{3}{4x^2}\]\[\large \frac{6x}{4x^2}+\frac{3}{4x^2}\] now that we have a common denominator, we can combine the numerators and place them over the denominator. \[\large \frac{6x+3}{4x^2}\]we can go on to simplify it even further by dividing both terms in the numerator by the denominator. \[\large \frac{6x}{4x^2}+\frac{3}{4x^2}\]\[\large \frac{3}{2x}\] now we can rewrite this into themost simplified form, \[\large \frac{3}{2x}+\frac{3}{4x^2}\]

Answer 2

Does this make sense?
You can also leave it in partial simplified form as \(\large \frac{6x+3}{4x^2}\)

Answer 3

yeah thanks