Which of the following percentages is equivalent to the fraction below? 16/128
A. $12.5 \%$
B. $1.25 \%$
C. $0.125 \%$
D. $25 \%
Answer (2)
Simplify the fraction: 128 16 = 8 1 .
Convert the fraction to a decimal: 8 1 = 0.125 .
Convert the decimal to a percentage: 0.125 × 100 = 12.5% .
The equivalent percentage is 12.5% .
Explanation
Problem Analysis We are given the fraction 128 16 and asked to find the equivalent percentage from the given options.
Simplifying the Fraction First, we simplify the fraction: 128 16 = 8 1
Converting to Decimal Next, we convert the simplified fraction to a decimal by dividing the numerator by the denominator: 8 1 = 0.125
Converting to Percentage Now, we convert the decimal to a percentage by multiplying by 100: 0.125 × 100 = 12.5 So, the percentage is 12.5%
Finding the Answer Comparing the calculated percentage with the given options, we find that option a. 12.5% is the correct answer.
Examples
In real life, converting fractions to percentages is useful in many situations, such as calculating discounts while shopping. For example, if an item is marked down by 8 1 of its original price, this is equivalent to a 12.5% discount. Understanding how to convert fractions to percentages helps you quickly determine the sale price and make informed purchasing decisions. This skill is also useful in understanding financial reports, analyzing statistical data, and interpreting survey results.
The equivalent percentage for the fraction 128 16 is 12.5% , which corresponds to option A. This is found by simplifying the fraction to 8 1 , converting it to decimal as 0.125, and then converting that to a percentage. Therefore, the correct answer is A. 12.5% .
;
