To determine the correct statement about the quotient of \( 12 \div \frac{1}{3} \), let's examine each option.
When dividing by a fraction, you can multiply by its reciprocal. Thus:
\[ 12 \div \frac{1}{3} = 12 \times 3 = 36. \]
Now let's evaluate each response:
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Because 9×1/3=12, 12 divided by 1/3 is 9.
- This is incorrect because \( 9 \times \frac{1}{3} = 3 \), not 12.
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Because 18×1/3=12, 12 divided by 1/3 is 18.
- This is incorrect as well. \( 18 \times \frac{1}{3} = 6 \), not 12.
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Because 36×1/3=12, 12 divided by 1/3 is 36.
- This statement is true. \( 36 \times \frac{1}{3} = 12 \), so \( 12 \div \frac{1}{3} = 36 \).
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Because 4×1/3=12, 12 divided by 1/3 is 4.
- This is incorrect. \( 4 \times \frac{1}{3} = \frac{4}{3} \), not 12.
The correct statement among the options is:
Because 36×1/3=12, 12 divided by 1/3 is 36.