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If a divides b then a is a factor of b and b is a multiple of a.
Either of them could be the denominator. In a/b, b is the denominator while in b/a, a is the denominator.
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If a divides b then b=n*a for some number n. Thus n=b/a
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If a divides b and b divides a then a is equal to b?
If a divides b and b divides a then either a is equal to b or a is equal to -b. Additional note: if a divides b, there exist a p such that ap=b. and if b divides a, there exist a q such that a=bq. then ap=(bq)p=b => b(1-pq)=0 => pq=1 since b!=0 => p=q=1 or p=q=-1 => a=b or a=-b
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