what is 20 of 134

Natashya

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26-12-2024

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What is 20 out of 134? This seemingly simple question delves into the world of fractions and percentages, concepts crucial for various aspects of life, from calculating discounts to understanding statistical data. Let's explore how to solve this and similar problems.

Calculating the Fraction

The most straightforward way to represent "20 out of 134" is as a fraction: 20/134. This fraction indicates that 20 is a part of a larger whole, which is 134.

To simplify this fraction, we find the greatest common divisor (GCD) of 20 and 134. The GCD is 2. Dividing both the numerator (20) and the denominator (134) by 2, we get the simplified fraction 10/67. This means 20 out of 134 is equivalent to 10 out of 67.

Converting to a Percentage

While the fraction 10/67 is accurate, percentages are often easier to understand and compare. To convert a fraction to a percentage, we divide the numerator by the denominator and multiply the result by 100.

10 ÷ 67 ≈ 0.149

0.149 x 100 ≈ 14.9%

Therefore, 20 out of 134 is approximately 14.9%.

Practical Applications

Understanding how to calculate percentages and fractions like this is useful in many real-world scenarios:

• Sales and Discounts: Determining the percentage discount on an item.
• Statistics: Analyzing survey results or data sets.
• Finance: Calculating interest rates or investment returns.
• Everyday Life: Dividing tasks, sharing resources, or understanding proportions.

Using a Calculator or Spreadsheet

For larger numbers or more complex calculations, using a calculator or spreadsheet software is recommended. Most calculators have a percentage function that simplifies the process. Spreadsheets like Excel or Google Sheets can easily handle fraction to percentage conversions.

Conclusion: 20 out of 134 Explained

In conclusion, 20 out of 134 can be represented as the fraction 10/67 or approximately 14.9%. Understanding how to perform these calculations is a valuable skill with applications in many areas. Remember that simplifying fractions and converting to percentages makes it easier to interpret and compare numerical data.