Thread: Proof: If p and q are rational numbers then p + q...

Hey all,
I want to prove that:
If p and q are rational numbers then p + q is also a rational number.

I have tried through direct proof:
and where Then,

which is rational.

Is this proof correct ?

This is all on the condition that m,n,r,s are integers. You're proof is correct if the following products sn, rm and sm are also integers.