What is this technique called?

It's been a long time since I've done algebra. I remember how to do it, but I'm at a loss to explain it. For instance, my son has the following problem; $$\frac{3}{Q+1}+\frac{2}{Q}$$ So I say, you just have to find a common denominator (like when you add "regular" fractions). All you need to do is this; $$\color{red}{\frac{Q}{Q}}\frac{3}{Q+1}+\frac{2}{Q}\color{red}{\frac{Q+1}{Q+1}}$$ What is this called?

-

You said it: it's called "finding a common denominator".

-

"Finding the least common multiple of both these denominators" and multiply the denominators to get the least common multiple.

-
Ah, so it is like adding two "regular" fractions where the denominators have no common factors. –  uncle brad Oct 16 '12 at 23:04