Determining the percentage equivalent of a fraction involves converting the fraction into a decimal and then multiplying by 100. In the specific case of the fraction eleven-fifteenths, the decimal representation is obtained by dividing 11 by 15. The resulting decimal is subsequently multiplied by 100 to express the value as a percentage. For example, converting one-half to a percentage involves dividing 1 by 2 (resulting in 0.5) and then multiplying by 100, yielding 50 percent.
Calculating the percentage representation of fractional values is fundamental in various fields, including finance, statistics, and everyday problem-solving. It enables standardized comparison across different scales and facilitates comprehension of proportional relationships. Historically, the concept of percentages has been used for calculating interest, taxes, and discounts, playing a critical role in economic and commercial transactions.