Determining the percentage representation of a fraction involves converting it to an equivalent value out of one hundred. In this instance, the fraction eighteen thirtieths is addressed. To express this as a percentage, the fraction is first simplified by identifying common factors. In this case, both eighteen and thirty are divisible by six. Dividing both numerator and denominator by six yields the simplified fraction three fifths. This simplified fraction is then converted to a decimal by dividing the numerator by the denominator, resulting in 0.6. To obtain the percentage, the decimal is multiplied by one hundred, yielding a result of sixty percent.
Understanding fractional and percentage relationships is fundamental in various fields, including finance, statistics, and everyday calculations. Being able to convert fractions to percentages provides a standardized way to compare proportions and express relative values. The ability to perform this conversion efficiently is beneficial in interpreting data, making informed decisions, and communicating quantitative information effectively. Historically, the concept of percentages has been employed to facilitate trade, taxation, and statistical analysis.
