The idea of a composite number is that it is a product of primes.
A possibly better example would be: one pizza was divided into 6 slices and 2 are left;
a second pizza was divide into 8 pieces and 2 are left.
How much pizza s left?
(1/3)+(1/4) = 7/12
The lowest common denominator 12 is composite of 2*2*3.