Problem Solving

Hey guys,

Can anyone help me simply this fraction in a quick method? I'm using traditional simplifying techniques and am wondering if there is a easier way around this?

1/2 + 1/3 + 1/4

1/2 (multiply top and bottom by 3) + 1/3 (multiply too and bottom by 2) = 3/6+2/6= 5/6+1/4

5/6(multiply top and bottom by 4) + 1/4 (multiply top and bottom by 6) = 26/24

I individually devised each by 2 in long division to get 13/12.

Is there an easier way to do this?

Thanks!

Nadine