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what is 20 of 2700

what is 20 of 2700

less than a minute read 24-12-2024
what is 20 of 2700

Finding out what 20/2700 represents involves simplifying the fraction and then converting it into a more easily understandable format, like a percentage or decimal. Let's break it down step-by-step.

Simplifying the Fraction 20/2700

The first step is to simplify the fraction 20/2700. Both the numerator (20) and the denominator (2700) are divisible by 20. Dividing both by 20 gives us:

20 ÷ 20 = 1 2700 ÷ 20 = 135

Therefore, the simplified fraction is 1/135.

Converting the Fraction to a Decimal

To convert the fraction 1/135 into a decimal, we divide the numerator (1) by the denominator (135):

1 ÷ 135 ≈ 0.0074

So, 1/135 is approximately 0.0074.

Converting the Fraction to a Percentage

To express 1/135 as a percentage, we multiply the decimal value by 100:

0.0074 × 100 ≈ 0.74%

Therefore, 20/2700 is approximately 0.74%.

Understanding the Result

20 out of 2700 represents a very small proportion. The simplified fraction 1/135 and the percentage 0.74% clearly illustrate this. This means that 20 is less than 1% of 2700. Depending on the context, this small proportion might be insignificant or could represent a very minor part of a larger whole.

Real-World Examples

This type of calculation might be used in various scenarios:

  • Calculating a percentage of survey respondents: If 20 out of 2700 people surveyed agreed with a particular statement, this represents 0.74% agreement.
  • Analyzing financial data: If 20 out of 2700 transactions were flagged as potentially fraudulent, it represents a small percentage of suspicious activity.
  • Assessing product quality: If 20 out of 2700 products were found to be defective, it would show a low defect rate.

Understanding how to simplify fractions and convert them to decimals and percentages is crucial for various mathematical applications and everyday problem-solving. This example demonstrates a clear and simple method for doing so.

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