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Answer :
To determine the quotient of [tex]12 \div \frac{1}{3}[/tex], we need to understand how division by a fraction works. When you divide by a fraction, it's equivalent to multiplying by its reciprocal. The reciprocal of [tex]\frac{1}{3}[/tex] is [tex]3[/tex], because when you flip the fraction (or take the numerator and the denominator and switch them), you get [tex]3[/tex].
So, [tex]12 \div \frac{1}{3}[/tex] becomes [tex]12 \times 3[/tex].
Calculating this gives us:
[tex]12 \times 3 = 36[/tex]
Therefore, the statement that is true is:
- Because [tex]36 \times \frac{1}{3} = 12[/tex], 12 divided by [tex]\frac{1}{3}[/tex] is 36.
This explanation shows why option 2 is the correct choice. By understanding how division by a fraction converts to multiplication by its reciprocal, we can solve such problems accurately.
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