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what is 5 of 500000

what is 5 of 500000

less than a minute read 22-12-2024
what is 5 of 500000

Finding out what 5/500000 represents can seem daunting at first, but it's a straightforward calculation involving fractions and decimals. Let's break it down step-by-step.

Understanding the Fraction 5/500000

The expression 5/500000 is a fraction, where 5 is the numerator (the top number) and 500000 is the denominator (the bottom number). This fraction represents a part of a whole – in this case, 5 parts out of 500,000.

To simplify this fraction, we look for common factors between the numerator and denominator. Both 5 and 500000 are divisible by 5.

Dividing both the numerator and the denominator by 5:

5 ÷ 5 = 1 500000 ÷ 5 = 100000

This simplifies the fraction to 1/100000.

Converting the Fraction to a Decimal

Converting the simplified fraction 1/100000 to a decimal is easy. We simply divide the numerator (1) by the denominator (100000):

1 ÷ 100000 = 0.00001

Therefore, 5/500000 is equal to 0.00001.

What Does This Mean in Practical Terms?

The decimal 0.00001 represents a very small proportion. Think of it like this: if you had 500,000 marbles, and only 5 were red, the proportion of red marbles would be 0.00001. It's a tiny fraction of the whole.

Why Understanding Fractions and Decimals Matters

Understanding fractions and decimals is crucial in many areas of life, including:

  • Finance: Calculating interest rates, loan repayments, and investment returns.
  • Science: Measuring quantities, analyzing data, and understanding ratios and proportions.
  • Engineering: Designing structures, calculating forces, and making precise measurements.
  • Everyday life: Calculating percentages, splitting bills, and understanding proportions in recipes.

Being comfortable with fractions and decimals allows you to solve problems and make informed decisions across many different contexts.

Conclusion

We've seen how to simplify the fraction 5/500000 to 1/100000 and convert it to the decimal 0.00001. This small number highlights the importance of understanding how to work with fractions and decimals in various situations. Mastering these concepts will enhance your problem-solving abilities in many areas of life. Remember, even seemingly complex fractions can be broken down into manageable steps to find a clear and understandable answer.

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