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The question is based on the multiplication of fractions.
One-half of two-thirds can be re-written as 1/2 of 2/3.
Explanation:
To multiply any two fractions, we can follow the steps given below:
1/2 of 2/3 = ( 1/2 ) × ( 2/3 ) = (1 × 2) / (2 × 3) = 2/6 = 1/3