Question 40

1/6

Dividing 1/9 by 2/3 results in 1/6. This is calculated by multiplying 1/9 by the reciprocal of 2/3, which is 3/2.

A) 1/6

This option is correct because when you divide 1/9 by 2/3, you multiply 1/9 by 3/2. The calculation is (1/9) × (3/2) = 3/18, which simplifies to 1/6.

B) 3/18

While this option represents the intermediate step in the calculation, it is not the final answer. 3/18 can be simplified to 1/6, but the question specifically asks for the result of the division, which is 1/6.

C) 1/3

This option is incorrect as it does not reflect the outcome of dividing 1/9 by 2/3. The operation yields a smaller fraction, not 1/3.

D) 2/3

This option is also incorrect. Dividing 1/9 by 2/3 results in a smaller value than 2/3, so it cannot be the correct answer.

Conclusion

The correct answer is 1/6 because it accurately represents the result of the division operation. Choices B, C, and D fail to provide the correct final answer, as they either represent intermediate values or incorrect results. Thus, A is the only option that aligns with the mathematical operation performed.