7 Simple Steps To Convert 21/24 Into A Percentage

Converting a fraction into a percentage is a skill that is not only useful in academic settings but also applicable in everyday life. For instance, whether you're calculating discounts while shopping 🛍️ or figuring out your grades, understanding how to convert fractions like 21/24 into a percentage can be incredibly beneficial.

In this article, we will walk you through the seven simple steps to convert 21/24 into a percentage. With easy-to-follow instructions, you'll soon be able to tackle similar conversions with ease.

Step 1: Understand the Fraction

Before converting, it's essential to understand what the fraction represents. In this case, 21/24 means that 21 parts out of 24 total parts are being considered.

Step 2: Divide the Numerator by the Denominator

The first mathematical operation you need to perform is to divide the numerator (the top number) by the denominator (the bottom number):

[ \text{Division} = \frac{21}{24} = 0.875 ]

This result will help you understand the decimal equivalent of the fraction.

Step 3: Convert the Decimal to a Percentage

To convert a decimal into a percentage, multiply the decimal value by 100. For 0.875, this can be calculated as:

[ \text{Percentage} = 0.875 \times 100 = 87.5% ]

Now you've successfully converted the fraction into a percentage!

Step 4: Represent the Result

At this point, you can confidently represent your result as 87.5%. This means that 21 out of 24 is equivalent to 87.5% when expressed in percentage form.

Step 5: Verify Your Result

Always good practice! To ensure accuracy, you can verify your calculations. One way to double-check is to take your percentage and convert it back to a fraction:

1. Divide the percentage by 100: [ \frac{87.5}{100} = 0.875 ]

2. Multiply the decimal by the denominator (24): [ 0.875 \times 24 = 21 ]

If you return to your original numerator (21), your calculations are correct!

Step 6: Common Mistakes to Avoid

While the conversion process is straightforward, common mistakes include:

• Miscalculating the division step.
• Forgetting to multiply by 100.
• Not verifying the result.

Take your time and check each step to avoid these pitfalls.

Step 7: Practice with Other Fractions

Now that you’ve mastered the conversion of 21/24 into a percentage, practice by applying the same steps to other fractions. For instance, try converting 15/20 or 3/4 into percentages.

FAQs

<div class="faq-section"> <div class="faq-container"> <h2>Frequently Asked Questions</h2> <div class="faq-item"> <div class="faq-question"> <h3>What is a percentage?</h3> <span class="faq-toggle">+</span> </div> <div class="faq-answer"> <p>A percentage is a way of expressing a number as a fraction of 100. It is often denoted using the symbol “%”.</p> </div> </div> <div class="faq-item"> <div class="faq-question"> <h3>Why is it useful to convert fractions to percentages?</h3> <span class="faq-toggle">+</span> </div> <div class="faq-answer"> <p>Converting fractions to percentages can help compare different quantities and understand proportions more easily.</p> </div> </div> <div class="faq-item"> <div class="faq-question"> <h3>Can I use a calculator for this conversion?</h3> <span class="faq-toggle">+</span> </div> <div class="faq-answer"> <p>Absolutely! Using a calculator can simplify the division and multiplication steps involved in converting a fraction to a percentage.</p> </div> </div> <div class="faq-item"> <div class="faq-question"> <h3>Is there a shortcut to convert fractions to percentages?</h3> <span class="faq-toggle">+</span> </div> <div class="faq-answer"> <p>Yes! You can also multiply the fraction by 100 immediately without dividing first, making it quicker.</p> </div> </div> </div> </div>

You've now learned the essential steps to convert 21/24 into a percentage. Remember, practice makes perfect! The more you work with fractions and percentages, the more natural it will become. Whether you’re calculating discounts, scores, or other fractions, mastering this skill will serve you well.

<p class="pro-note">💡Pro Tip: Always double-check your calculations to ensure accuracy!</p>