What is 32 divided by 8/9?

Rationale

32 divided by 8/9 equals 36.

To divide by a fraction, you multiply by its reciprocal. Therefore, dividing 32 by 8/9 is the same as multiplying 32 by 9/8, which results in 36.

A (36) CORRECT

This choice accurately represents the calculation of 32 divided by 8/9. When you multiply 32 by the reciprocal of 8/9 (which is 9/8), the calculation is 32 * (9/8) = 36, confirming that this is the correct answer.

B (4 & 1/9) YOUR ANSWER

This choice suggests a misunderstanding of the division process. It appears to be the result of incorrectly simplifying the fraction or performing a different operation. Dividing 32 by 8/9 does not yield this result, as the actual operation involves multiplying by the reciprocal.

C (28 & 4/9) YOUR ANSWER

This choice also arises from an incorrect understanding of the division of fractions. It may reflect an arbitrary manipulation of numbers rather than applying the correct method of division. The correct procedure yields 36, not a mixed number like 28 & 4/9.

D (4) YOUR ANSWER

This choice indicates a significant error in understanding the division of 32 by 8/9. It suggests a total miscalculation, perhaps by simply dividing 32 by 8 without considering the fractional divisor. The correct application of the division operation produces a much larger result.

Conclusion

The division of 32 by the fraction 8/9 effectively involves multiplying by its reciprocal, leading to the correct answer of 36. The other options reflect various misunderstandings of the division process. Understanding how to divide by a fraction is crucial for accurate mathematical computations, highlighting the importance of proper operation application.

What is 32 divided by 8/9?

32 divided by 8/9 equals 36.

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