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How would you help a child understand that 8/24 = 1/3? What kinds of ideas and activities support that understanding? A common approach to fraction equivalence is to show that two fractional parts are the same size through matching circular or rectangular regions. This approach is limited because it isolates the idea of equivalence from other potentially enriching ideas, such as multiplication and division.
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Susan B. Empson (2001) studied this question.
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