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2/3 x 3/4 = 2 x 3/3 x 4 = 6/12 = 1/2.

NOTE : The cancellation of common numbers (or factors) between the numerator and denominator could have taken place early on in the process. The multiplication would then have become :-

2/3 x 3/4 = 2/4 = 1/2.

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