Question 11

525% is equivalent to 5 1/4.

To convert the mixed number 5 1/4 into a percentage, first convert it to an improper fraction, which is 21/4. Then, multiplying by 100 results in 525%, making this option correct.

A) 525%

This option is correct because when 5 1/4 is converted to a percentage, it equals 525%. The calculation involves converting the mixed number into an improper fraction (21/4) and then multiplying by 100, confirming that the percentage is indeed 525%.

B) 514%

This option is incorrect as it does not accurately represent the conversion of 5 1/4 into a percentage. The correct percentage is 525%, and 514% is not derived from the value of 5 1/4.

C) 5.14%

This option is also incorrect. 5.14% is a decimal representation that does not reflect the proper conversion of 5 1/4 into a percentage. The percentage should be 525%, not a mere fraction of it.

D) 5.25%

This option is incorrect as well. 5.25% does not correspond to 5 1/4, which is equivalent to 525%. This choice misrepresents the actual value of the mixed number when expressed as a percentage.

Conclusion

The correct answer is 525% because it accurately reflects the conversion of the mixed number 5 1/4 into a percentage. All other options fail to represent this conversion accurately, with some being significantly lower than the correct percentage. Thus, 525% is definitively the only correct answer.