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You do it the obvious way.
Take p, q in Q, the rationals
By definition, we can write p = m/n and q = r/s where m, r are integers, n and s are natural.
we define pq (p times q) = (mr)/(ns)
p/q = pq^-1 where q^-1 denotes q's multiplicative inverse s/r
Remark: you cannot divide by 0 here because
1) 0 have no multiplicative inverse
2) if r = 0. s/r is undefined.
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