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why does it take 3 copies of 1/6 to show the same amount as 1 copy of 1/2
Because 3/6 is equal to 1/2. You multiply the 1 (in 1/2) by 3, and the 2 (in 1/2) by 3 to get 3/6. You need to have a common denominator, and 6 was the common denominator.
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