Which of the following percentages is equivalent to 5 1/4?

Rationale

525% is equivalent to 5 1/4.

To convert a mixed number into a percentage, you first convert it to a decimal and then multiply it by 100. In this case, 5 1/4 is equivalent to 5.25 as a decimal. Multiplying 5.25 by 100 gives 525%, which is the correct answer.

A (525%) CORRECT

The conversion of 5 1/4 to a decimal gives 5.25, and multiplying this by 100 gives 525%. This is the correct conversion of the mixed number to a percentage.

B (514%) YOUR ANSWER

This percentage would be equivalent to the decimal 5.14, not 5.25. Hence, it is not the correct conversion of the mixed number 5 1/4.

C (5.14%) YOUR ANSWER

This percentage is significantly smaller than the mixed number 5 1/4. It would be equivalent to the decimal 0.0514, which is not the correct conversion.

D (5.25%) YOUR ANSWER

While this percentage correctly reflects the decimal equivalent of 5 1/4, it is not the correct percentage equivalent. It is 100 times smaller than the correct answer, as it does not account for the multiplication by 100 in the conversion from a decimal to a percentage.

Conclusion

The correct conversion of the mixed number 5 1/4 to a percentage is 525%. The other options either incorrectly convert the mixed number to a decimal (514%), misunderstand the scale of a percentage (5.14% and 5.25%), or incorrectly convert the decimal to a percentage (5.25%). It's important to remember that converting from a decimal to a percentage involves multiplying by 100, which is why 5 1/4 becomes 525% and not 5.25%.

Which of the following percentages is equivalent to 5 1/4?

525% is equivalent to 5 1/4.

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