How about this one:

Which is greater: or  ?

Let's think of a pizza again - mostly, because I like pizza. Ok, back to the math.

The denominators are both 8, so let's look at a pizza cut into 8 pieces:

You're SUPER hungry... Do you want 3 pieces? Or 7 pieces?

7 is WAY more!

So

Sometimes, you can tell just by using your head!

Which is greater: or ?

Hmm... isn't very much pizza - only 2 pieces out of 9... 

But, is MORE THAN a whole pizza. Isn't it? In fact, it's .

A whole pizza AND another slice.

So