Converting Fractions to Percentages: The Case of 5/24

In the realm of mathematics, the conversion between fractions and percentages plays a significant role in various applications. This article delves into the process of converting the fraction 5/24 into a percentage, exploring two distinct methods to achieve this conversion accurately.

Key Facts

  1. Converting 5/24 to a percentage can be done in two main ways:
    a. Method 1: Divide 100 by the denominator (24) and then multiply both the numerator (5) and denominator by the result. This gives us the fraction 20.833333333333/100, which can be simplified to 20.83%.
    b. Method 2: Convert the fraction to a decimal by dividing the numerator (5) by the denominator (24). This gives us the decimal 0.20833333333333. Then, multiply the decimal by 100 to get the percentage. In this case, 0.20833333333333 multiplied by 100 equals 20.83%.

Method 1: Utilizing the Denominator as a Base

The first method involves manipulating the denominator of the fraction to establish a common base of 100. This approach entails the following steps:

Step 1: Divide 100 by the denominator (24). This yields the result 4.1666666666667.

Step 2: Multiply both the numerator (5) and the denominator (24) by the result obtained in Step 1. This results in the fraction 20.833333333333/100.

Step 3: Simplify the fraction, if possible. In this case, the fraction can be simplified to 20.83%.

Method 2: Converting the Fraction to a Decimal

The second method involves converting the fraction to a decimal and then multiplying the decimal by 100 to obtain the percentage. This approach consists of the following steps:

Step 1: Divide the numerator (5) by the denominator (24). This yields the decimal 0.20833333333333.

Step 2: Multiply the decimal obtained in Step 1 by 100. This results in the percentage 20.83%.

Conclusion

Through the application of these two methods, we have successfully converted the fraction 5/24 to a percentage, obtaining the result 20.83%. This demonstrates the versatility of mathematical techniques in addressing various conversion needs.

References:

  1. “What is 5/24 as a percent?” Thinkster Math. https://hellothinkster.com/math-questions/percentages/what-is-5-24-as-a-percent.
  2. “What is 5 of 24 as percentage.” Aspose Percentage Calculator. https://products.aspose.app/omr/grade-percentage/what-grade-is-5-out-of-24-percentage.
  3. “5/24 as a Percentage | Convert 5/24 to Percent.” Worksheet Genius. https://worksheetgenius.com/calc/fraction-as-percentage/5-24-as-percent/.

FAQs

What is the percentage equivalent of the fraction 5/24?

20.83%

How can I convert the fraction 5/24 to a percentage using Method 1?

Divide 100 by the denominator (24), multiply both the numerator (5) and denominator by the result, and simplify the fraction if possible.

What is the decimal equivalent of the fraction 5/24?

0.20833333333333

How can I convert the fraction 5/24 to a percentage using Method 2?

Convert the fraction to a decimal by dividing the numerator by the denominator, and then multiply the decimal by 100.

Can I use a calculator to convert 5/24 to a percentage?

Yes, you can use a calculator to perform the necessary calculations.

Are there any online tools or resources available to help me convert fractions to percentages?

Yes, there are various online tools and resources, such as the Aspose Percentage Calculator and the Worksheet Genius Fraction to Percentage Calculator, that can assist you with this conversion.

What are some real-life applications of converting fractions to percentages?

Converting fractions to percentages is useful in various scenarios, such as calculating discounts, interest rates, exam scores, and survey results.

How can I improve my understanding of fraction to percentage conversions?

Practice converting different fractions to percentages using both methods explained in the article. You can also utilize online resources and tutorials to reinforce your understanding.