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In Mathematics / College | 2025-07-07

Which of the following percentages is equivalent to the fraction below? 16/128
a. $12.5 \%$
c. $0.125 \%$
b. $1.25 \%$
d. $25 \%

Asked by manda87panda

Answer (1)

Simplify the fraction: 128 16 ​ = 8 1 ​ .
Convert the fraction to a decimal: 8 1 ​ = 0.125 .
Multiply the decimal by 100 to get the percentage: 0.125 × 100 = 12.5% .
The equivalent percentage is 12.5% ​ .

Explanation

Understanding the problem We are given the fraction 128 16 ​ and asked to find the equivalent percentage from the given options. To convert a fraction to a percentage, we first simplify the fraction and then multiply by 100.

Simplifying the fraction First, simplify the fraction 128 16 ​ . Both the numerator and denominator are divisible by 16. Dividing both by 16, we get: 128 16 ​ = 128 ÷ 16 16 ÷ 16 ​ = 8 1 ​

Converting to decimal Now, convert the simplified fraction 8 1 ​ to a decimal by dividing the numerator by the denominator: 8 1 ​ = 0.125

Converting to percentage To convert the decimal to a percentage, multiply by 100: 0.125 × 100 = 12.5 So, the fraction 128 16 ​ is equivalent to 12.5% .

Final Answer Comparing the calculated percentage with the given options, we see that option a. 12.5% is the correct answer.


Examples
In real life, converting fractions to percentages is useful in many situations. For example, if you get 16 out of 128 questions correct on a test, you can calculate your score as a percentage to understand your performance. This conversion helps in understanding proportions and making comparisons easier, such as comparing discounts in a store or understanding statistical data.

Answered by GinnyAnswer | 2025-07-08

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