Question 30

The result of dividing 32 by 8/9 is 36.

Dividing 32 by 8/9 can be calculated by multiplying 32 by the reciprocal of 8/9, which is 9/8. Therefore, 32 * (9/8) equals 36.

A) 36

This option is correct because when you divide 32 by 8/9, you effectively multiply by the reciprocal, resulting in 32 * (9/8) = 36. This calculation demonstrates the proper application of division involving a fraction.

B) 4&1/9

This option is incorrect. If you were to incorrectly divide 32 by 8 and then mistakenly add 1/9, the result would not reflect the proper mathematical operation of dividing by a fraction. The correct approach results in a significantly larger value.

C) 28&4/9

This option is also incorrect. The value 28&4/9 does not accurately represent the outcome of dividing 32 by 8/9. It suggests an incorrect interpretation of the division operation and miscalculates the relationship between the numbers involved.

D) 4

This option is incorrect as well. Dividing 32 by 8 results in 4, but the question specifically involves dividing by 8/9, which requires a different calculation approach. The result of 4 does not consider the fractional component properly.

Conclusion

The correct answer is definitively 36, as it accurately reflects the mathematical operation required to divide 32 by 8/9. All other options fail because they misinterpret the operations involved or do not account for the reciprocal multiplication necessary in this division scenario.