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Let * be a binary operation on Q0 (se...

Let * be a binary operation on `Q_0` (set of non-zero rational numbers) defined by `a*b=(3a b)/5` for all `a ,\ b in Q_0` . Show that * is commutative as well as associative. Also, find the identity element, if it exists.

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The correct Answer is:
`e = (5)/(3) in Q`, is an identity element of `Q`.
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