Let R be the relation on the set of ordered pairs of positive integers such that $((a, b), (c, d)) \in R$ if and only if $ad = bc$. What are the equivalence classes of this relation?
I am completely stuck any help would be of a lot of help!
Let R be the relation on the set of ordered pairs of positive integers such that $((a, b), (c, d)) \in R$ if and only if $ad = bc$. What are the equivalence classes of this relation?
I am completely stuck any help would be of a lot of help!
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Hint: Assuming $a,b,c,d \neq 0$,$$ \frac{a}{b} = \frac{c}{d} \Leftrightarrow ad = bc $$