$\frac{1}{24}$ (Write as a percent.)
Answer (2)
Multiply the fraction by 100: 24 1 × 100 = 24 100 .
Simplify the fraction: 24 100 = 6 25 .
Convert the fraction to a decimal: 6 25 ≈ 4.166666... .
Express the result as a percentage: 4.166666...%
Explanation
Understanding the problem We are asked to convert the fraction 24 1 into a percentage.
Converting to percentage To convert a fraction to a percentage, we multiply the fraction by 100 and add the percentage symbol '%'. So, we need to calculate 24 1 × 100 .
Performing the calculation Calculating the value, we get 24 1 × 100 = 24 100 .
Simplifying the fraction We can simplify the fraction 24 100 by dividing both the numerator and the denominator by their greatest common divisor, which is 4. This gives us 24 ÷ 4 100 ÷ 4 = 6 25 .
Expressing as mixed number and decimal Now, we can express the fraction 6 25 as a mixed number or a decimal. As a mixed number, 6 25 = 4 6 1 . As a decimal, 6 25 ≈ 4.166666... .
Final Answer Therefore, 24 1 as a percentage is approximately 4.166666...% . We can round this to a suitable number of decimal places, for example, 4.17% .
Examples
In everyday life, converting fractions to percentages is useful in many situations. For example, if you get 1 out of 24 questions wrong on a test, you can calculate your score as a percentage to understand your performance. Similarly, businesses use percentages to calculate profit margins, discounts, and market share. Understanding how to convert fractions to percentages helps in interpreting and analyzing data in various real-world scenarios.
To convert the fraction 24 1 to a percentage, multiply by 100 to get 24 100 , which simplifies to 6 25 . This equals approximately 4.17%. Therefore, 24 1 as a percentage is about 4.17%.
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