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Why Dividing by a Fraction Means Multiplying by Its Reciprocal
Why does 3/4 ÷ 2/3 equal 9/8—and why does dividing by 2/3 become multiplying by 3/2? This visual proof uses aligned bars split into twelfths to count one whole 2/3-sized group plus one eighth of another. Then it scales both quantities by 3/2, making the divisor equal to 1 while preserving the quotient. The two views meet at 9/8 and reveal ...
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