What is the result of dividing 32 by 8/9?

Rationale

Dividing 32 by 8/9 results in 36.

When dividing a number by a fraction, the operation can be transformed into multiplication by the reciprocal of that fraction. In this case, dividing 32 by 8/9 is equivalent to multiplying 32 by 9/8, which gives us 36.

A (36) CORRECT

This is the correct answer, as dividing 32 by 8/9 is calculated by multiplying 32 by the reciprocal of 8/9, which is 9/8. Thus, 32 × (9/8) = 36.

B (4&1/9) YOUR ANSWER

This choice is incorrect because it represents a miscalculation of the division. If one mistakenly divides 32 by 8, they would arrive at 4, but this does not account for the fraction aspect of 8/9, leading to an incorrect answer.

C (28&4/9) YOUR ANSWER

This response is also incorrect. It may stem from a misunderstanding of how to handle the division of a whole number by a fraction. The calculation does not yield this result, as the correct approach is to find the product of 32 and 9/8, not 8/9 directly.

D (4) YOUR ANSWER

This choice is incorrect because it results from dividing 32 by 8 without considering the fraction. The correct procedure involves multiplying by the reciprocal of the fraction, which would yield a larger result than simply dividing by the whole number.

Conclusion

The division of a whole number by a fraction involves multiplying by the reciprocal of that fraction. In this case, dividing 32 by 8/9 correctly results in 36, demonstrating the importance of understanding fraction operations in arithmetic. The incorrect answers stem from misapplying the division rules or misunderstanding the role of the fraction in the calculation.

What is the result of dividing 32 by 8/9?

Dividing 32 by 8/9 results in 36.

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