what is 20 of 5200

Natashya

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23-12-2024

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What is 20/5200? Simplifying Fractions and Percentages

This article will explore how to calculate 20/5200, explain the process, and demonstrate how to express the result as both a simplified fraction and a percentage. Understanding this simple calculation can be helpful in various contexts, from basic math problems to more complex scenarios involving ratios and proportions.

Calculating 20/5200

The expression 20/5200 represents a fraction, where 20 is the numerator and 5200 is the denominator. To find the answer, we need to simplify this fraction.

The simplest approach is to find the greatest common divisor (GCD) of both numbers. The GCD is the largest number that divides both the numerator and the denominator without leaving a remainder. In this case, the GCD of 20 and 5200 is 20.

We can simplify the fraction by dividing both the numerator and the denominator by their GCD:

20 ÷ 20 = 1 5200 ÷ 20 = 260

Therefore, the simplified fraction is 1/260.

Expressing the Result as a Percentage

To express 1/260 as a percentage, we need to divide the numerator (1) by the denominator (260) and then multiply the result by 100:

1 ÷ 260 ≈ 0.003846 0.003846 × 100 ≈ 0.3846%

Rounding to two decimal places, we get approximately 0.38%.

Understanding the Result

The result shows that 20 is a very small fraction of 5200. This is often useful in real-world applications. For instance, if you had 20 successes out of 5200 attempts, your success rate would be approximately 0.38%.

This calculation demonstrates a fundamental mathematical concept and provides a practical application of simplifying fractions and converting them to percentages. Mastering these skills is crucial for various mathematical and real-world problems. Understanding the relationship between fractions, decimals, and percentages is essential for many fields, from finance to data analysis. This basic calculation provides a solid foundation for more complex mathematical concepts.