The fraction ten thirtieths represents a proportional relationship between two quantities. To express this relationship as a percentage, the fraction must first be converted to a decimal. This is achieved by dividing the numerator (10) by the denominator (30), resulting in approximately 0.3333. To convert the decimal to a percentage, it is multiplied by 100. Therefore, ten thirtieths is equivalent to approximately 33.33%. This provides a standardized way to represent the initial proportion.
Expressing fractions as percentages allows for easy comparison and understanding of relative quantities. In various fields, from finance to statistics, converting values to percentages facilitates communication and analysis. This standardized format is integral for assessing proportions, calculating ratios, and interpreting data across diverse contexts. The ability to represent fractional values as percentages ensures clarity and facilitates data-driven decision-making.