Let \( Q^{+} \)be the set of all positive rational numbers. \( \mat...

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Let \( Q^{+} \)be the set of all positive rational numbers.
\( \mathrm{P} \) the operation \( * \) on \( Q^{+} \)defined by \( a * b=\frac{1}{2}(a+b) \) Show that * is not associative.

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