The model you described shows a division problem involving the number 4 divided by a fraction, specifically one-sixth (1/6).
In this case, when you say "4 divided by one-sixth," it means you are trying to determine how many one-sixths are in 4.
To clarify the equations presented:
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4 divided by one-sixth = 24: This is the correct interpretation. When you divide 4 by 1/6, you are essentially asking how many sixths fit into 4. Mathematically, this is calculated as:
\[ 4 \div \left(\frac{1}{6}\right) = 4 \times 6 = 24 \]
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4 divided by one-sixth = 12: This statement is incorrect based on the context. It does not align with the division of 4 by one-sixth.
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24 divided by one-sixth = 4: This is incorrect. When you divide 24 by one-sixth, you are calculating how many sixths are in 24, which gives a different outcome.
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12 divided by one-sixth = 4: This statement is also incorrect. Dividing 12 by one-sixth yields:
\[ 12 \div \left(\frac{1}{6}\right) = 12 \times 6 = 72 \]
The key point here is that the valid division problem demonstrated by the model is 4 divided by one-sixth equals 24.
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