Question 2

Three-eighths of a yard is the same as 37.50% of a yard.

To find the percentage equivalent of three-eighths of a yard, you can divide 3 by 8 and then multiply by 100. This calculation results in 37.50%, making it the correct answer.

A) 37.50%

This option is correct because when you convert three-eighths (3/8) into a percentage, you perform the calculation (3 ÷ 8) × 100, which equals 37.50%. This directly represents the fraction of a yard in percentage form.

B) 23%

This option is incorrect as it does not accurately reflect the conversion of three-eighths into a percentage. A percentage of 23% would imply a much smaller fraction of a yard, specifically about one-fourth, which does not correspond to three-eighths.

C) 62.50%

This option is also incorrect. A percentage of 62.50% would suggest a value greater than three-eighths, as it corresponds to five-eighths (5/8) of a yard. Therefore, this option misrepresents the value of three-eighths.

D) 40%

This option is incorrect as well. A percentage of 40% would correspond to a fraction of two-fifths (2/5) of a yard, which is not equivalent to three-eighths. Thus, this option fails to represent the correct conversion.

Conclusion

The correct answer is 37.50%, as it accurately converts three-eighths of a yard into its percentage form. All other options fail to represent this fraction correctly, reflecting either too small or too large a value compared to three-eighths. Understanding how to convert fractions to percentages is essential in this context, and option A is the only accurate representation of three-eighths.