Rewrite the following as indicated: $\frac{1}{24}$ (Write as a percent.)
Answer (2)
To convert the fraction 24 1 to a percentage, multiply it by 100.
Calculate 24 1 × 100 = 24 100 .
Simplify the fraction to get 6 25 .
Convert the improper fraction to a mixed number: 4 6 1 % . The final answer is 4 6 1 % .
Explanation
Understanding the problem We are asked to convert the fraction 24 1 to a percentage. To do this, we multiply the fraction by 100 and add the percent symbol.
Calculating the percentage Now, let's calculate 24 1 × 100 .
Simplifying the fraction 24 1 × 100 = 24 100 . We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4. So, 24 100 = 24 ÷ 4 100 ÷ 4 = 6 25 .
Converting to a mixed number Now, we convert the improper fraction 6 25 to a mixed number. 25 ÷ 6 = 4 with a remainder of 1 . So, 6 25 = 4 6 1 .
Final Answer Therefore, 24 1 as a percentage is 4 6 1 % .
Examples
Converting fractions to percentages is a common task in everyday life. For example, if you get 21 out of 24 questions correct on a quiz, you can calculate your score as a percentage by finding the percentage equivalent of the fraction 24 21 . This helps you understand your performance in a more intuitive way.
To convert 24 1 to a percentage, we multiply it by 100, obtaining 24 100 . Simplifying this gives 4 6 1 % as the final answer. Thus, 24 1 expressed as a percentage is 4 6 1 % .
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