Question

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

Answer 1

Step-by-step explanation:

`(4x+1)/(2) +(6x+3)/(3)`

Make the denominators the same by cross-multiplying

`(3(4x+1)+2(6x+3))/(6)`

multiply

`(12x+3+12x+6)/(6)`

Add

`(24x+9)/(6)`

Simplify

`(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+(3)/(2)`

Answer:

`(8x+3)/(2)`

or

`4x+(3)/(2)`