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20/28 as a percentage

20/28 as a percentage

2 min read 30-03-2025
20/28 as a percentage

Meta Description: Learn how to convert fractions to percentages easily! This guide shows you step-by-step how to calculate 20/28 as a percentage, and provides tips for similar conversions. Understand the process and confidently tackle future fraction-to-percentage problems.

Knowing how to convert fractions to percentages is a valuable skill. This guide will walk you through calculating 20/28 as a percentage, explaining the process clearly and concisely. We'll also touch upon the broader concept of fraction-to-percentage conversion, helping you confidently tackle similar calculations in the future.

Understanding Percentages

A percentage is simply a fraction expressed as a part of 100. The symbol % represents "per hundred". For example, 50% means 50 out of 100, or 50/100.

Calculating 20/28 as a Percentage: The Steps

To convert 20/28 to a percentage, follow these steps:

Step 1: Divide the Numerator by the Denominator

The fraction 20/28 means 20 divided by 28. Performing this division gives you:

20 ÷ 28 ≈ 0.714

Step 2: Multiply by 100

To express this decimal as a percentage, multiply the result by 100:

0.714 x 100 = 71.4

Step 3: Add the Percentage Symbol

Finally, add the percentage symbol (%) to indicate that this is a percentage:

71.4%

Therefore, 20/28 is approximately 71.4%.

Simplifying the Fraction (Optional)

Before performing the division, you can simplify the fraction 20/28 by finding the greatest common divisor (GCD) of 20 and 28. The GCD of 20 and 28 is 4. Dividing both the numerator and denominator by 4 simplifies the fraction to 5/7.

Then, you would divide 5 by 7:

5 ÷ 7 ≈ 0.714

Multiply by 100:

0.714 x 100 = 71.4%

This method yields the same result, but simplifying first can sometimes make the calculation easier.

How to Convert Any Fraction to a Percentage

The method demonstrated above works for any fraction:

  1. Divide the numerator by the denominator.
  2. Multiply the result by 100.
  3. Add the percentage symbol (%).

Practice Problems

Try converting these fractions to percentages using the steps above:

  • 15/25
  • 12/36
  • 7/14

Conclusion

Converting fractions to percentages is straightforward. By following the simple steps outlined in this guide, you can accurately calculate any fraction as a percentage, including 20/28, which is approximately 71.4%. Remember to practice to build your confidence and master this essential skill!

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