What is the result of dividing 1/9 by 2/3?

Rationale

Dividing 1/9 by 2/3 results in 1/6.

To find the result of dividing two fractions, we multiply the first fraction by the reciprocal of the second fraction. Thus, dividing 1/9 by 2/3 is equivalent to multiplying 1/9 by 3/2, which simplifies to 1/6.

A (1/6) CORRECT

This choice correctly represents the result of the division. When you multiply 1/9 by the reciprocal of 2/3 (which is 3/2), the calculation is (1/9) * (3/2) = 3/18, which simplifies to 1/6.

B (3/18) YOUR ANSWER

While 3/18 is an intermediate step in the calculation, it is not the final result. Although the multiplication of 1/9 by 3/2 yields 3/18, this fraction can be simplified to 1/6, making it incorrect as the answer to the original question.

C (1/3) YOUR ANSWER

This choice is incorrect because it does not correspond to the result of the division. The calculation of (1/9) ÷ (2/3) yields 1/6, not 1/3. This error may stem from an incorrect understanding of how to manipulate fractions.

D (2/3) YOUR ANSWER

This choice is incorrect as it misrepresents the operation performed. Dividing 1/9 by 2/3 does not yield a result of 2/3; rather, it results in a smaller fraction, 1/6, which accurately reflects the reduced ratio of the two fractions.

Conclusion

The process of dividing fractions involves multiplying by the reciprocal, leading to the correct result of 1/6 when dividing 1/9 by 2/3. While other options may represent intermediate or incorrect values, only 1/6 correctly reflects the final outcome of the calculation. Understanding how to manipulate fractions is key to solving such problems accurately.

What is the result of dividing 1/9 by 2/3?

Dividing 1/9 by 2/3 results in 1/6.

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