

As you can see – we had two halves, so it’s even visually obvious that we’re going to get 1 whole (number) once we add them (or "sew" them up). Now what about this one:
Even by saying what we see on the left hand side: two thirds – we got the answer. :)
This one has little simplifying at the end. Two fourths = one half. Now let’s finally look at fifths and sixths.
Same story here, adding numerators…
Again a little reducing of fractions from sixths to thirds. As you can see, this is as easy as it gets fractionwise. You can’t get any simpler than that.
Now let’s complicate things just a little bit. We are keeping the same denominator, but changing the numerator. Second case of

3  +  2  =  3+2  =  5  =  2  1  
2  2  2  2  2 
As you can see we have an option to write down our solution as 5/2, which is an improper fraction format, or we can write down 2 and 1/2 which is a mixed fraction format (see types of fractions for more info).
Now let’s try some thirds.
2  +  4  =  2+4  =  6  ÷3  =  2  
3  3  3  3  ÷3 
In this case we can simplify our solution from 6/3 (improper fraction) to 2 wholes (meaning 2 whole numbers).
Now let's see some 4ths.
3  +  2  =  3+2  =  5  =  1  1  
4  4  4  4  4 
I guess you’re starting to see a pattern here – with our denominators being alike, we add the numerators, see if our sum "crossed over" for 1 or more whole numbers, plus the proper fraction "leftovers" (in this case 1/4) – and that’s it.
4  +  8  =  4+8  =  12  =  2  2  
5  5  5  5  5 
These were the fifths, now let’s finish with sixths.
7  +  4  =  7+4  =  11  =  1  5  
6  6  6  6  6 
This visual combination of fractions represented by pizza pies and numbers should be very useful. You can keep picturing this "duality" even when we remove the pizzas from the picture. It is important that you don’t mix up a numerator with a denominator.
Continue to Adding fractions with unlike denominators.