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To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
So, 1/2 ÷ 2/3 becomes 1/2 * 3/2.
Multiplying numerators: 1 * 3 = 3
Multiplying denominators: 2 * 2 = 4
Thus, 1/2 ÷ 2/3 simplifies to 3/4.