When dividing 1/9 by 2/3, what is the result?

Rationale

When dividing 1/9 by 2/3, the result is 1/6.

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. Thus, \( \frac{1}{9} \div \frac{2}{3} \) becomes \( \frac{1}{9} \times \frac{3}{2} = \frac{3}{18} \), which simplifies to \( \frac{1}{6} \).

A (1/6) CORRECT

This is the correct answer, as it correctly represents the result of dividing \( \frac{1}{9} \) by \( \frac{2}{3} \) using the multiplication of the first fraction by the reciprocal of the second. Simplifying \( \frac{3}{18} \) results in \( \frac{1}{6} \).

B (3/18) YOUR ANSWER

This choice represents an intermediate step in the calculation but does not give the final answer. While \( \frac{3}{18} \) is the product of \( \frac{1}{9} \) and \( \frac{3}{2} \), it needs to be simplified to \( \frac{1}{6} \) to reach the correct answer.

C (1/3) YOUR ANSWER

This option is incorrect as it does not reflect the division of \( \frac{1}{9} \) by \( \frac{2}{3} \). To reach \( \frac{1}{3} \), one would need to perform a different operation, as this fraction does not follow from the given division calculation.

D (2/3) YOUR ANSWER

This choice is also incorrect. It suggests that dividing \( \frac{1}{9} \) by \( \frac{2}{3} \) results in a larger fraction, which contradicts the mathematical principle of division resulting in a smaller value when dividing a smaller fraction by a larger one.

Conclusion

In conclusion, the division of \( \frac{1}{9} \) by \( \frac{2}{3} \) accurately yields \( \frac{1}{6} \) when calculated correctly. This highlights the importance of both performing the division through multiplication by the reciprocal and simplifying the result to arrive at the final answer. Understanding these operations ensures clarity and precision in fraction calculations.

When dividing 1/9 by 2/3, what is the result?

When dividing 1/9 by 2/3, the result is 1/6.

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