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## Homework Statement

Let p be a prime number, and let D = {m/n| m,n are integers such that p does not divide n}

Verify that D is an integral domain and find Q(D)

## Homework Equations

i am unsure where to use the fact that a prime number divides n in this proof. I know how to check that D is an integral domain, but I am unclear where this fact fits in.

## The Attempt at a Solution

I must show that addition is commutative associative, has an identity and inverse.

multaplication is commutative and associative, and has an identity.

and show that D is distributive.

n cannot be p, 0, or any multiple of p, but i'm not sure how that plays in the proof, any help would be much appreciated.

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