Question 56

32 divided by 8/9 equals 36.

When dividing 32 by 8/9, it is equivalent to multiplying 32 by the reciprocal of 8/9, which is 9/8. Therefore, 32 multiplied by 9/8 results in 36.

A) 36

This option is correct as it accurately represents the result of dividing 32 by 8/9. The calculation involves multiplying 32 by the reciprocal (9/8), leading to the final answer of 36.

B) 4 & 1/9

This option is incorrect because it suggests a much smaller result than what is obtained from the division. The calculation does not yield this value, as dividing by a fraction like 8/9 increases the original number.

C) 28 & 4/9

This option is also incorrect. It does not reflect the correct outcome of the division process. The calculation of 32 divided by 8/9 does not lead to this mixed number, indicating a misunderstanding of the operation involved.

D) 4

This choice is incorrect as it greatly underestimates the result of the division. Dividing 32 by a fraction like 8/9 should yield a value significantly higher than 4, demonstrating a fundamental error in the calculation.

Conclusion

The answer of 36 is definitively correct as it properly follows the mathematical procedure for dividing by a fraction. All other options miscalculate the division, either presenting values that are too low or misrepresenting the operation entirely. Thus, option A stands out as the only accurate choice.