Question

What is 1/2 (4x + 1) + 1/3 (6x + 3) ?

Answer 1

Explanation:

$\frac{4x+1}{2} +\frac{6x+3}{3}$

Make the denominators the same by cross-multiplying

$\frac{3(4x+1)+2(6x+3)}{6}$

multiply

$\frac{12x+3+12x+6}{6}$

Add

$\frac{24x+9}{6}$

Simplify

$\frac{8x+3}{2}$

If you want, this can be your final answer. But if you want something a bit more specific, we can simplify this further, to:

$4x+\frac{3}{2}$

Answer:

$\frac{8x+3}{2}$

or

$4x+\frac{3}{2}$