21. 10 / 4/5 =

Answer: D

Explanation:

10 / 4/5 = 12{1/2}

Dividing 10 by 4/5 is equivalent to multiplying 10 by the reciprocal of 4/5, which is 5/4. This results in 12.5, or 12{1/2} when expressed as a mixed number.

A) 4/50

This option represents a fraction that simplifies to 2/25, which is not equivalent to the result of the division. Therefore, it is incorrect.

B) 8/5

This choice simplifies to 1.6, which does not match the correct result of 12.5. Thus, this option is also incorrect.

C) 5/8

This fraction equals 0.625, which is significantly less than the correct result. Consequently, this option is incorrect.

D) 12{1/2}

This option correctly represents the result of the division, as 10 divided by 4/5 equals 12.5, which can be expressed as 12{1/2}.

E) 14{1/5}

This option equals 14.2, which is greater than the correct result of 12.5. Therefore, it is incorrect.

Conclusion

The correct answer is 12{1/2}, which accurately reflects the result of the division operation. All other options either represent incorrect numerical values or do not equate to the correct calculation, confirming that D is the only valid choice.